test_oct_levi.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "import numpy as np\n",
    "np.random.seed(0)\n",
    "import torch\n",
    "torch.manual_seed(0)\n",
    "import torch.nn as nn\n",
    "import torch.nn.functional as F\n",
    "import torch.optim as optim\n",
    "from torchvision import datasets, transforms, models\n",
    "from torch.utils.data import SubsetRandomSampler\n",
    "import matplotlib\n",
    "from tqdm import tqdm\n",
    "import torch\n",
    "from matplotlib import pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set()\n",
    "from tqdm import tqdm\n",
    "from torch.utils.data.sampler import SubsetRandomSampler\n",
    "from data_generator_oct import OCTDataset\n",
    "from models import BreastPathQModel\n",
    "from uce import uceloss\n",
    "from calibration_plots import plot_uncert, plot_frequency, plot_uncert_multi\n",
    "from utils import nll_criterion_gaussian\n",
    "\n",
    "matplotlib.rcParams['font.size'] = 8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "base_model = 'efficientnetb4'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "assert base_model in ['resnet101', 'densenet201', 'efficientnetb4']\n",
    "device = torch.device(\"cuda:1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([850])\n",
      "torch.Size([850])\n"
     ]
    }
   ],
   "source": [
    "batch_size = 16\n",
    "resize_to = (256, 256)\n",
    "\n",
    "data_dir = '/media/fastdata/laves/oct_data_needle/data'\n",
    "data_set = OCTDataset(data_dir=data_dir, augment=False, resize_to=resize_to)\n",
    "assert len(data_set) > 0\n",
    "\n",
    "calib_indices = torch.load('./data_indices/oct_valid_indices.pth')\n",
    "test_indices = torch.load('./data_indices/oct_test_indices.pth')\n",
    "\n",
    "print(calib_indices.shape)\n",
    "print(test_indices.shape)\n",
    "\n",
    "calib_loader = torch.utils.data.DataLoader(data_set, batch_size=batch_size,\n",
    "                                           sampler=SubsetRandomSampler(calib_indices))\n",
    "test_loader = torch.utils.data.DataLoader(data_set, batch_size=batch_size,\n",
    "                                          sampler=SubsetRandomSampler(test_indices))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loading previous weights at epoch 499 from\n",
      "/media/fastdata/laves/regression_snapshots/efficientnetb4_gaussian_oct.pth.tar\n"
     ]
    }
   ],
   "source": [
    "from glob import glob\n",
    "model = BreastPathQModel(base_model, out_channels=6).to(device)\n",
    "\n",
    "checkpoint_path = glob(f\"/media/fastdata/laves/regression_snapshots/{base_model}_gaussian_oct.pth.tar\")[0]\n",
    "\n",
    "checkpoint = torch.load(checkpoint_path, map_location=device)\n",
    "model.load_state_dict(checkpoint['state_dict'])\n",
    "print(\"Loading previous weights at epoch \" + str(checkpoint['epoch']) + \" from\\n\" + checkpoint_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 54/54 [01:45<00:00,  1.96s/it]\n"
     ]
    }
   ],
   "source": [
    "model.eval()\n",
    "y_p_calib = []\n",
    "vars_calib = []\n",
    "logvars_calib = []\n",
    "targets_calib = []\n",
    "\n",
    "with torch.no_grad():\n",
    "    for batch_idx, (data, target) in enumerate(tqdm(calib_loader)):\n",
    "        data, target = data.to(device), target.to(device)\n",
    "\n",
    "        y_p, logvar, var_bayesian = model(data, dropout=True, mc_dropout=True, test=True)\n",
    "\n",
    "        y_p_calib.append(y_p.detach())\n",
    "        vars_calib.append(var_bayesian.detach())\n",
    "        logvars_calib.append(logvar.detach())\n",
    "        targets_calib.append(target.detach())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_p_calib = torch.cat(y_p_calib, dim=1).clamp(0, 1).permute(1,0,2)\n",
    "mu_calib = y_p_calib.mean(dim=1)\n",
    "var_calib = torch.cat(vars_calib, dim=0)\n",
    "logvars_calib = torch.cat(logvars_calib, dim=1).permute(1,0,2)\n",
    "logvar_calib = logvars_calib.mean(dim=1)\n",
    "target_calib = torch.cat(targets_calib, dim=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [],
   "source": [
    "err_calib = (target_calib-mu_calib).pow(2).mean(dim=1, keepdim=True).sqrt()\n",
    "errvar_calib = (y_p_calib-target_calib.unsqueeze(1).repeat(1,25,1)).pow(2).mean(dim=(1,2)).unsqueeze(-1)\n",
    "\n",
    "uncertainty = 'aleatoric'\n",
    "\n",
    "uncert_calib_aleatoric = logvar_calib.exp().mean(dim=1, keepdim=True)\n",
    "uncert_calib_epistemic = var_calib.mean(dim=1, keepdim=True)\n",
    "\n",
    "if uncertainty == 'aleatoric':\n",
    "    uncert_calib = uncert_calib_aleatoric.sqrt().clamp(0, 1)\n",
    "elif uncertainty == 'epistemic':\n",
    "    uncert_calib = uncert_calib_epistemic.sqrt().clamp(0, 1)\n",
    "else:\n",
    "    uncert_calib = (uncert_calib_aleatoric + uncert_calib_epistemic).sqrt().clamp(0, 1)  # total"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(0.0015, device='cuda:1')\n",
      "tensor(0.0016, device='cuda:1')\n",
      "tensor(0.0002, device='cuda:1')\n",
      "tensor(0.0144, device='cuda:1')\n",
      "tensor(0.0135, device='cuda:1')\n"
     ]
    }
   ],
   "source": [
    "print((err_calib**2).mean())\n",
    "print(errvar_calib.mean())\n",
    "print((uncert_calib**2).mean())\n",
    "print(uncert_calib_aleatoric.sqrt().mean())\n",
    "print(uncert_calib_epistemic.sqrt().mean())\n",
    "\n",
    "#err_calib = errvar_calib.sqrt()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div id='e016e3fb-511f-42bf-bb3f-9af2235e4bee'></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1)\n",
    "ax.plot(uncert_calib.cpu(), err_calib.cpu()[:,0], '.')\n",
    "\n",
    "max_val = max(err_calib.max().item(), uncert_calib.max().item())\n",
    "ax.plot([0, max_val], [0, max_val], '--')\n",
    "ax.set_xlabel('uncert')\n",
    "ax.set_ylabel('err')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(2.6493, device='cuda:1')\n"
     ]
    }
   ],
   "source": [
    "# calculate optimal T\n",
    "S = (err_calib**2 / uncert_calib**2).mean().sqrt()\n",
    "print(S)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Scaler(torch.nn.Module):\n",
    "    def __init__(self, init_S=1.0):\n",
    "        super().__init__()\n",
    "        self.S = torch.nn.Parameter(torch.tensor([init_S]))\n",
    "\n",
    "    def forward(self, x):\n",
    "        return self.S.mul(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.649322032928467\n"
     ]
    }
   ],
   "source": [
    "# find optimal S\n",
    "scaler = Scaler(init_S=S).to(device)\n",
    "s_opt = torch.optim.LBFGS([scaler.S], lr=3e-2, max_iter=200)\n",
    "\n",
    "def closure():\n",
    "    s_opt.zero_grad()\n",
    "\n",
    "    loss = nll_criterion_gaussian(mu_calib, scaler(uncert_calib).pow(2).log(), target_calib)\n",
    "\n",
    "    loss.backward()\n",
    "    return loss\n",
    "\n",
    "s_opt.step(closure)\n",
    "print(scaler.S.item())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "class AuxModel(torch.nn.Module):\n",
    "    def __init__(self, channels, hidden=16):\n",
    "        super().__init__()\n",
    "        self.linear1 = torch.nn.Linear(channels, hidden, bias=True)\n",
    "        self.fc = torch.nn.Linear(hidden, channels, bias=True)\n",
    "\n",
    "    def forward(self, x):\n",
    "        x = 2*(x.log())\n",
    "        y = self.linear1(x).relu()\n",
    "        y = self.fc(y)\n",
    "        \n",
    "        if self.training:\n",
    "            return y\n",
    "        else:\n",
    "            return (0.5*y).exp()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-5.53749418258667\n"
     ]
    }
   ],
   "source": [
    "# find optimal aux\n",
    "aux = AuxModel(1).to(device)\n",
    "aux_opt = torch.optim.Adam(aux.parameters(), lr=3e-3, weight_decay=0)\n",
    "lr_scheduler_net = optim.lr_scheduler.ReduceLROnPlateau(aux_opt, patience=100, factor=0.1)\n",
    "\n",
    "aux.train()\n",
    "for i in range(2000):\n",
    "    aux_opt.zero_grad()\n",
    "    loss = nll_criterion_gaussian(mu_calib, aux(uncert_calib), target_calib)\n",
    "    loss.backward()\n",
    "    aux_opt.step()\n",
    "    lr_scheduler_net.step(loss.item())\n",
    "\n",
    "print(loss.item())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-1.466072678565979\n",
      "-5.536372184753418\n",
      "-5.536372184753418\n",
      "-5.53749418258667\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "AuxModel(\n",
       "  (linear1): Linear(in_features=1, out_features=16, bias=True)\n",
       "  (fc): Linear(in_features=16, out_features=1, bias=True)\n",
       ")"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aux.train()\n",
    "print(nll_criterion_gaussian(mu_calib, uncert_calib.pow(2).log(), target_calib).item())\n",
    "print(nll_criterion_gaussian(mu_calib, (S*uncert_calib).pow(2).log(), target_calib).item())\n",
    "print(nll_criterion_gaussian(mu_calib, scaler(uncert_calib).pow(2).log(), target_calib).item())\n",
    "print(nll_criterion_gaussian(mu_calib, aux(uncert_calib), target_calib).item())\n",
    "aux.eval()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.002708153333514929\n",
      "0.0013702618889510632\n",
      "0.0013702618889510632\n",
      "0.0013682662975043058\n"
     ]
    }
   ],
   "source": [
    "print(torch.nn.functional.mse_loss(uncert_calib**2, err_calib**2, reduction='sum').item())\n",
    "print(torch.nn.functional.mse_loss((S*uncert_calib)**2, err_calib**2, reduction='sum').item())\n",
    "print(torch.nn.functional.mse_loss(scaler(uncert_calib)**2, err_calib**2, reduction='sum').item())\n",
    "print(torch.nn.functional.mse_loss(aux(uncert_calib)**2, err_calib**2, reduction='sum').item())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div id='8466562b-7675-4867-bc61-9ef86ff842e1'></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.12472720118239522\n"
     ]
    }
   ],
   "source": [
    "uce, err_in_bin, avg_sigma_in_bin, freq_in_bin = uceloss(err_calib**2, uncert_calib**2)\n",
    "plot_uncert(err_in_bin.cpu(), avg_sigma_in_bin.cpu())\n",
    "print(uce.item()*100)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div id='242f242a-a3c5-45b7-b025-ec3e2d05ffad'></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.013302323350217193\n"
     ]
    }
   ],
   "source": [
    "uce, err_in_bin, avg_sigma_in_bin, freq_in_bin = uceloss(err_calib**2, (S*uncert_calib)**2)\n",
    "plot_uncert(err_in_bin.cpu(), avg_sigma_in_bin.cpu())\n",
    "print(uce.item()*100)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div id='c1535d9f-7059-4f17-bc99-51f730f69747'></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.013302323350217193\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div id='15a11b7a-12f3-435e-8b15-985b96e5a3c5'></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_bins = 15\n",
    "uce, err_in_bin, avg_uncert_in_bin, freq_in_bin = uceloss(err_calib**2, scaler(uncert_calib)**2, n_bins=n_bins)\n",
    "plot_uncert(err_in_bin.cpu(), avg_uncert_in_bin.cpu())\n",
    "plt.show()\n",
    "print(uce.item()*100)\n",
    "fig, ax = plot_frequency(scaler(uncert_calib).cpu(), freq_in_bin.cpu(), n_bins=n_bins)\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div id='8cea0b0d-7a72-427b-bc1c-b41f77a667a0'></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.008440115198027343\n"
     ]
    }
   ],
   "source": [
    "uce, err_in_bin, avg_uncert_in_bin, freq_in_bin = uceloss(err_calib**2, aux(uncert_calib)**2, n_bins=n_bins)\n",
    "plot_uncert(err_in_bin.cpu(), avg_uncert_in_bin.cpu())\n",
    "plt.show()\n",
    "print(uce.item()*100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 54/54 [01:46<00:00,  1.97s/it]\n",
      "100%|██████████| 54/54 [01:48<00:00,  2.01s/it]\n",
      "100%|██████████| 54/54 [01:48<00:00,  2.00s/it]\n",
      "100%|██████████| 54/54 [01:48<00:00,  2.01s/it]\n",
      "100%|██████████| 54/54 [01:45<00:00,  1.96s/it]\n"
     ]
    }
   ],
   "source": [
    "y_p_test_list = []\n",
    "mu_test_list = []\n",
    "var_test_list = []\n",
    "logvars_test_list = []\n",
    "logvar_test_list = []\n",
    "target_test_list = []\n",
    "\n",
    "for i in range(5):\n",
    "    y_p_test = []\n",
    "    mus_test = []\n",
    "    vars_test = []\n",
    "    logvars_test = []\n",
    "    targets_test = []\n",
    "\n",
    "    with torch.no_grad():\n",
    "        for batch_idx, (data, target) in enumerate(tqdm(test_loader)):\n",
    "            data, target = data.to(device), target.to(device)\n",
    "\n",
    "            y_p, logvar, var_bayesian = model(data, dropout=True, mc_dropout=True, test=True)\n",
    "\n",
    "            y_p_test.append(y_p.detach())\n",
    "            vars_test.append(var_bayesian.detach())\n",
    "            logvars_test.append(logvar.detach())\n",
    "            targets_test.append(target.detach())\n",
    "\n",
    "        y_p_test = torch.cat(y_p_test, dim=1).clamp(0, 1).permute(1,0,2)\n",
    "        mu_test = y_p_test.mean(dim=1)\n",
    "        var_test = torch.cat(vars_test, dim=0)\n",
    "        logvars_test = torch.cat(logvars_test, dim=1).permute(1,0,2)\n",
    "        logvar_test = logvars_test.mean(dim=1)\n",
    "        target_test = torch.cat(targets_test, dim=0)\n",
    "\n",
    "        y_p_test_list.append(y_p_test)\n",
    "        mu_test_list.append(mu_test)\n",
    "        var_test_list.append(var_test)\n",
    "        logvars_test_list.append(logvars_test)\n",
    "        logvar_test_list.append(logvar_test)\n",
    "        target_test_list.append(target_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [],
   "source": [
    "err_test = [(target_test-mu_test).pow(2).mean(dim=1, keepdim=True).sqrt() for target_test, mu_test in zip(target_test_list, mu_test_list)]\n",
    "errvar_test = [(y_p_test-target_test.unsqueeze(1).repeat(1,25,1)).pow(2).mean(dim=(1,2)).unsqueeze(-1) for target_test, y_p_test in zip(target_test_list, y_p_test_list)]\n",
    "\n",
    "uncert_aleatoric_test = [logvar_test.exp().mean(dim=1, keepdim=True) for logvar_test in logvar_test_list]\n",
    "uncert_epistemic_test = [var_test.mean(dim=1, keepdim=True) for var_test in var_test_list]\n",
    "\n",
    "if uncertainty == 'aleatoric':\n",
    "    uncert_test = [uncert_aleatoric_t.sqrt().clamp(0, 1) for uncert_aleatoric_t in uncert_aleatoric_test]\n",
    "elif uncertainty == 'epistemic':\n",
    "    uncert_test = [uncert_epistemic_t.sqrt().clamp(0, 1) for uncert_epistemic_t in uncert_epistemic_test]\n",
    "else:\n",
    "    uncert_test = [(u_a_t + u_e_t).sqrt().clamp(0, 1) for u_a_t, u_e_t in zip(uncert_aleatoric_test, uncert_epistemic_test)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(0.0014, device='cuda:1')\n",
      "tensor(0.0016, device='cuda:1')\n",
      "tensor(0.0002, device='cuda:1')\n",
      "\n",
      "tensor(0.0014, device='cuda:1')\n",
      "tensor(0.0016, device='cuda:1')\n",
      "tensor(0.0002, device='cuda:1')\n",
      "\n",
      "tensor(0.0014, device='cuda:1')\n",
      "tensor(0.0016, device='cuda:1')\n",
      "tensor(0.0002, device='cuda:1')\n",
      "\n",
      "tensor(0.0014, device='cuda:1')\n",
      "tensor(0.0016, device='cuda:1')\n",
      "tensor(0.0002, device='cuda:1')\n",
      "\n",
      "tensor(0.0014, device='cuda:1')\n",
      "tensor(0.0016, device='cuda:1')\n",
      "tensor(0.0002, device='cuda:1')\n",
      "\n"
     ]
    }
   ],
   "source": [
    "for i in range(len(err_test)):\n",
    "    print((err_test[i]**2).mean())\n",
    "    print(errvar_test[i].mean())\n",
    "    print((uncert_test[i]**2).mean())\n",
    "    print()\n",
    "\n",
    "#err_test = [errvar.sqrt() for errvar in errvar_test]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-1.7315411567687988\n",
      "-5.575181484222412\n",
      "-5.575181484222412\n",
      "-5.577203273773193\n",
      "\n",
      "-1.7305828332901\n",
      "-5.576295852661133\n",
      "-5.576295852661133\n",
      "-5.578205108642578\n",
      "\n",
      "-1.719127893447876\n",
      "-5.573840618133545\n",
      "-5.573840618133545\n",
      "-5.575546741485596\n",
      "\n",
      "-1.7019404172897339\n",
      "-5.571837425231934\n",
      "-5.571837425231934\n",
      "-5.573824405670166\n",
      "\n",
      "-1.7118245363235474\n",
      "-5.571545124053955\n",
      "-5.571545124053955\n",
      "-5.573381423950195\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "AuxModel(\n",
       "  (linear1): Linear(in_features=1, out_features=16, bias=True)\n",
       "  (fc): Linear(in_features=16, out_features=1, bias=True)\n",
       ")"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aux.train()\n",
    "for i in range(len(mu_test_list)):\n",
    "    print(nll_criterion_gaussian(mu_test_list[i], uncert_test[i].pow(2).log(), target_test_list[i]).item())\n",
    "    print(nll_criterion_gaussian(mu_test_list[i], (S*uncert_test[i]).pow(2).log(), target_test_list[i]).item())\n",
    "    print(nll_criterion_gaussian(mu_test_list[i], scaler(uncert_test[i]).pow(2).log(), target_test_list[i]).item())\n",
    "    print(nll_criterion_gaussian(mu_test_list[i], aux(uncert_test[i]), target_test_list[i]).item())\n",
    "    print()\n",
    "aux.eval()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0021998360753059387\n",
      "0.0010134568437933922\n",
      "0.0010134568437933922\n",
      "0.001003417419269681\n",
      "\n",
      "0.002199190203100443\n",
      "0.0010135209886357188\n",
      "0.0010135209886357188\n",
      "0.001004102872684598\n",
      "\n",
      "0.0021977326832711697\n",
      "0.0009997253073379397\n",
      "0.0009997253073379397\n",
      "0.0009912129025906324\n",
      "\n",
      "0.0022080745548009872\n",
      "0.001008693128824234\n",
      "0.001008693128824234\n",
      "0.0009996322914958\n",
      "\n",
      "0.0022122515365481377\n",
      "0.0010095217730849981\n",
      "0.0010095217730849981\n",
      "0.0010007396340370178\n",
      "\n"
     ]
    }
   ],
   "source": [
    "for i in range(len(mu_test_list)):\n",
    "    print(torch.nn.functional.mse_loss(uncert_test[i]**2, err_test[i]**2, reduction='sum').item())\n",
    "    print(torch.nn.functional.mse_loss((S*uncert_test[i])**2, err_test[i]**2, reduction='sum').item())\n",
    "    print(torch.nn.functional.mse_loss(scaler(uncert_test[i])**2, err_test[i]**2, reduction='sum').item())\n",
    "    print(torch.nn.functional.mse_loss(aux(uncert_test[i])**2, err_test[i]**2, reduction='sum').item())\n",
    "    print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0003209875139873475\n",
      "0.00033023374271579087\n",
      "0.0003368775942362845\n",
      "0.000321454688673839\n",
      "0.00032008392736315727\n",
      "0.11888597160577774 0.0003137535532005131\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"250\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 250x225 with 1 Axes>,\n",
       " <matplotlib.axes._subplots.AxesSubplot at 0x7f294c37db00>)"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "if base_model == 'resnet101':\n",
    "    uce_range = [0, 0.0007]\n",
    "elif base_model == 'densenet201':\n",
    "    uce_range = [0, 0.0009]\n",
    "elif base_model == 'efficientnetb4':\n",
    "    uce_range = [0, 0.0006]\n",
    "\n",
    "n_bins = 15\n",
    "uce_uncal_list = []\n",
    "err_uncal_list = []\n",
    "uncert_uncal_list = []\n",
    "for i in range(len(err_test)):\n",
    "    print((uncert_test[i]**2).max().item())\n",
    "    uce_uncal, err_uncal, uncert_uncal, _ = uceloss(err_test[i]**2, uncert_test[i]**2, n_bins=n_bins, range=uce_range)\n",
    "    uce_uncal_list.append(uce_uncal.cpu())\n",
    "    err_uncal_list.append(err_uncal.cpu())\n",
    "    uncert_uncal_list.append(uncert_uncal.cpu())\n",
    "\n",
    "print((torch.stack(uce_uncal_list)*100).mean().item(), (torch.stack(uce_uncal_list)*100).var().sqrt().item())\n",
    "plot_uncert_multi(err_uncal_list, uncert_uncal_list)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0022529815323650837\n",
      "0.0023178800474852324\n",
      "0.0023645127657800913\n",
      "0.002256260486319661\n",
      "0.002246639458462596\n",
      "0.01025999616831541 0.0007416292792186141\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"250\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 250x225 with 1 Axes>,\n",
       " <matplotlib.axes._subplots.AxesSubplot at 0x7f294c432550>)"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "if base_model == 'resnet101':\n",
    "    uce_range = [0, 0.0031]\n",
    "elif base_model == 'densenet201':\n",
    "    uce_range = [0, 0.0021]\n",
    "elif base_model == 'efficientnetb4':\n",
    "    uce_range = [0, 0.002]\n",
    "\n",
    "uce_s_list = []\n",
    "err_s_list = []\n",
    "uncert_s_list = []\n",
    "for i in range(len(err_test)):\n",
    "    print((scaler(uncert_test[i])**2).max().item())\n",
    "    uce_s, err_s, uncert_s, _ = uceloss(err_test[i]**2, scaler(uncert_test[i])**2, n_bins=n_bins, range=uce_range)\n",
    "    uce_s_list.append(uce_s.cpu())\n",
    "    err_s_list.append(err_s.cpu())\n",
    "    uncert_s_list.append(uncert_s.cpu())\n",
    "\n",
    "print((torch.stack(uce_s_list)*100).mean().item(), (torch.stack(uce_s_list)*100).var().sqrt().item())\n",
    "plot_uncert_multi(err_s_list, uncert_s_list)\n",
    "\n",
    "#fig, ax = plot_frequency(scaler(uncert_test[0]).cpu(), in_bin.cpu(), n_bins=n_bins)\n",
    "#fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0019951066933572292\n",
      "0.0020367028191685677\n",
      "0.0020663966424763203\n",
      "0.0019972152076661587\n",
      "0.0019910221453756094\n",
      "0.006859047804027796 0.00040113882278092206\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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\" width=\"250\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 250x225 with 1 Axes>,\n",
       " <matplotlib.axes._subplots.AxesSubplot at 0x7f28f67298d0>)"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "if base_model == 'resnet101':\n",
    "    uce_range = [0, 0.0025]\n",
    "elif base_model == 'densenet201':\n",
    "    uce_range = [0, 0.002]\n",
    "elif base_model == 'efficientnetb4':\n",
    "    uce_range = [0, 0.002]\n",
    "\n",
    "uce_aux_list = []\n",
    "err_aux_list = []\n",
    "uncert_aux_list = []\n",
    "for i in range(len(err_test)):\n",
    "    print((aux(uncert_test[i])**2).max().item())\n",
    "    uce_aux, err_aux, uncert_aux, _ = uceloss(err_test[i]**2, aux(uncert_test[i])**2, n_bins=n_bins, range=uce_range)\n",
    "    uce_aux_list.append(uce_aux.cpu())\n",
    "    err_aux_list.append(err_aux.cpu())\n",
    "    uncert_aux_list.append(uncert_aux.cpu())\n",
    "\n",
    "print((torch.stack(uce_aux_list)*100).mean().item(), (torch.stack(uce_aux_list)*100).var().sqrt().item())\n",
    "plot_uncert_multi(err_aux_list, uncert_aux_list)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [],
   "source": [
    "import seaborn as sns\n",
    "\n",
    "sns.set()\n",
    "matplotlib.rcParams['text.usetex'] = True\n",
    "matplotlib.rcParams['font.size'] = 8\n",
    "matplotlib.rcParams['text.latex.preamble'] = [\n",
    "    r'\\usepackage{bm}']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [],
   "source": [
    "def save_log(base_model):\n",
    "    with open(f\"results_levi_oct_{base_model}.log\", \"w\") as f:\n",
    "        print(\"MSE\", file=f)\n",
    "        print([(e**2).mean().item() for e in err_test], file=f)\n",
    "        print(\"mean\", np.mean([(e**2).mean().item() for e in err_test]), file=f)\n",
    "        print(\"std \", np.std([(e**2).mean().item() for e in err_test]), file=f)\n",
    "        print(\"\", file=f)\n",
    "        \n",
    "        print(\"uncal\", file=f)\n",
    "        print(\"NLL\", file=f)\n",
    "        nll = [nll_criterion_gaussian(mu_test_list[i], uncert_test[i].pow(2).log(), target_test_list[i]).item() for i in range(len(mu_test_list))]\n",
    "        print(nll, file=f)\n",
    "        print(\"mean\", np.mean(nll), file=f)\n",
    "        print(\"std \", np.std(nll), file=f)\n",
    "        print(\"UCE\", file=f)\n",
    "        print([u.item() for u in uce_uncal_list], file=f)\n",
    "        print(\"mean\", (torch.stack(uce_uncal_list)*100).mean().item(), file=f)\n",
    "        print(\"std \", (torch.stack(uce_uncal_list)*100).var().sqrt().item(), file=f)\n",
    "        print(\"\", file=f)\n",
    "        \n",
    "        print(\"aux\", file=f)\n",
    "        print(\"NLL\", file=f)\n",
    "        aux.train()\n",
    "        nll = [nll_criterion_gaussian(mu_test_list[i], aux(uncert_test[i]), target_test_list[i]).item() for i in range(len(mu_test_list))]\n",
    "        aux.eval()\n",
    "        print(nll, file=f)\n",
    "        print(\"mean\", np.mean(nll), file=f)\n",
    "        print(\"std \", np.std(nll), file=f)\n",
    "        print(\"UCE\", file=f)\n",
    "        print([u.item() for u in uce_aux_list], file=f)\n",
    "        print(\"mean\", (torch.stack(uce_aux_list)*100).mean().item(), file=f)\n",
    "        print(\"std \", (torch.stack(uce_aux_list)*100).var().sqrt().item(), file=f)\n",
    "        print(\"\", file=f)\n",
    "        \n",
    "        print(\"s\", file=f)\n",
    "        print(\"NLL\", file=f)\n",
    "        nll = [nll_criterion_gaussian(mu_test_list[i], scaler(uncert_test[i]).pow(2).log(), target_test_list[i]).item() for i in range(len(mu_test_list))]\n",
    "        print(nll, file=f)\n",
    "        print(\"mean\", np.mean(nll), file=f)\n",
    "        print(\"std \", np.std(nll), file=f)\n",
    "        print(\"UCE\", file=f)\n",
    "        print([u.item() for u in uce_s_list], file=f)\n",
    "        print(\"mean\", (torch.stack(uce_s_list)*100).mean().item(), file=f)\n",
    "        print(\"std \", (torch.stack(uce_s_list)*100).var().sqrt().item(), file=f)\n",
    "        print(\"S =\", scaler.S.item(), file=f)\n",
    "        print(\"\", file=f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [],
   "source": [
    "if base_model == 'resnet101':\n",
    "    fig, ax = plt.subplots(1, 3, figsize=(6.8, 2.75))\n",
    "\n",
    "    alpha = 0.4\n",
    "    props = dict(boxstyle='round', facecolor='white', alpha=0.75)\n",
    "\n",
    "    err_uncal = torch.stack(err_uncal_list).mean(dim=0).cpu()\n",
    "    err_uncal_var = torch.stack(err_uncal_list).var(dim=0).sqrt().cpu()\n",
    "    uncert_uncal = torch.stack(uncert_uncal_list).mean(dim=0).cpu()\n",
    "    ax[0].plot([0, 0.003], [0, 0.003], 'k--')\n",
    "    ax[0].plot(uncert_uncal, err_uncal, marker='.', label='uncal')\n",
    "    ax[0].fill_between(uncert_uncal, err_uncal-err_uncal_var, err_uncal+err_uncal_var, alpha=alpha)\n",
    "    ax[0].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[0].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[0].set_xlim([-0.0002, 0.0032])\n",
    "    ax[0].set_ylim([-0.0002, 0.0032])\n",
    "    ax[0].set_xticks([0, 0.0015, 0.003])\n",
    "    ax[0].set_yticks([0, 0.0015, 0.003])\n",
    "    ax[0].set_aspect(1)\n",
    "    ax[0].set_title(r'uncalibrated')\n",
    "    textstr0 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_uncal_list)*100).mean().item())\n",
    "    ax[0].text(0.925, 0.075, textstr0, transform=ax[0].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    err_aux = torch.stack(err_aux_list).mean(dim=0).cpu()\n",
    "    err_aux_var = torch.stack(err_aux_list).var(dim=0).sqrt().cpu()\n",
    "    uncert_aux = torch.stack(uncert_aux_list).mean(dim=0).cpu()\n",
    "    ax[1].plot([0, 0.003], [0, 0.003], 'k--')\n",
    "    ax[1].plot(uncert_aux, err_aux, marker='.', label='uncal')\n",
    "    ax[1].fill_between(uncert_aux, err_aux-err_aux_var, err_aux+err_aux_var, alpha=alpha)\n",
    "    ax[1].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[1].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[1].set_xlim([0.0013, 0.0032])\n",
    "    ax[1].set_ylim([0.0013, 0.0032])\n",
    "    ax[1].set_xticks([0.0015, 0.003])\n",
    "    ax[1].set_yticks([0.0015, 0.003])\n",
    "    ax[1].set_aspect(1)\n",
    "    ax[1].set_title(r'aux scaling')\n",
    "    textstr1 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_aux_list)*100).mean().item())\n",
    "    ax[1].text(0.925, 0.075, textstr1, transform=ax[1].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    err_s = torch.stack(err_s_list).mean(dim=0).cpu()\n",
    "    err_s_var = torch.stack(err_s_list).var(dim=0).sqrt().cpu()\n",
    "    uncert_s = torch.stack(uncert_s_list).mean(dim=0).cpu()\n",
    "    ax[2].plot([0, 0.003], [0, 0.003], 'k--')\n",
    "    ax[2].plot(uncert_s, err_s, marker='.', label='uncal')\n",
    "    ax[2].fill_between(uncert_s, err_s-err_s_var, err_s+err_s_var, alpha=alpha)\n",
    "    ax[2].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[2].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[2].set_xlim([0.0013, 0.0032])\n",
    "    ax[2].set_ylim([0.0013, 0.0032])\n",
    "    ax[2].set_xticks([0.0015, 0.003])\n",
    "    ax[2].set_yticks([0.0015, 0.003])\n",
    "    ax[2].set_aspect(1)\n",
    "    ax[2].set_title(r'$ \\sigma $ scaling')\n",
    "    textstr2 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_s_list)*100).mean().item())\n",
    "    ax[2].text(0.925, 0.075, textstr2, transform=ax[2].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    ax[0].annotate(r'OCT/ResNet-101', xy=(0, 0.5), xytext=(-ax[0].yaxis.labelpad - 5, 0),\n",
    "                   xycoords=ax[0].yaxis.label, textcoords='offset points',\n",
    "                   size='large', ha='right', va='center', fontsize=10, rotation=90)\n",
    "    fig.tight_layout()\n",
    "    fig.show()\n",
    "\n",
    "    fig.savefig(f\"results_levi_oct_{base_model}.pdf\", bbox_inches='tight', pad_inches=0.01)\n",
    "    save_log(base_model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [],
   "source": [
    "if base_model == 'densenet201':\n",
    "    fig, ax = plt.subplots(1, 3, figsize=(6.8, 2.75))\n",
    "\n",
    "    alpha = 0.4\n",
    "    props = dict(boxstyle='round', facecolor='white', alpha=0.75)\n",
    "\n",
    "    err_uncal = torch.stack(err_uncal_list).mean(dim=0).cpu()\n",
    "    err_uncal_var = torch.stack(err_uncal_list).var(dim=0).sqrt().cpu()\n",
    "    uncert_uncal = torch.stack(uncert_uncal_list).mean(dim=0).cpu()\n",
    "    ax[0].plot([0, 0.2], [0, 0.2], 'k--')\n",
    "    ax[0].plot(uncert_uncal, err_uncal, marker='.', label='uncal')\n",
    "    ax[0].fill_between(uncert_uncal, err_uncal-err_uncal_var, err_uncal+err_uncal_var, alpha=alpha)\n",
    "    ax[0].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[0].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[0].set_xlim([0.0004, 0.0024])\n",
    "    ax[0].set_ylim([0.0004, 0.0024])\n",
    "    ax[0].set_xticks([0.001, 0.002])\n",
    "    ax[0].set_yticks([0.001, 0.002])\n",
    "    ax[0].set_aspect(1)\n",
    "    ax[0].set_title(r'uncalibrated')\n",
    "    textstr0 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_uncal_list)*100).mean().item())\n",
    "    ax[0].text(0.925, 0.075, textstr0, transform=ax[0].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    err_aux = torch.stack(err_aux_list).mean(dim=0).cpu()\n",
    "    err_aux_var = torch.stack(err_aux_list).var(dim=0).sqrt().cpu()\n",
    "    uncert_aux = torch.stack(uncert_aux_list).mean(dim=0).cpu()\n",
    "    ax[1].plot([0, 0.2], [0, 0.2], 'k--')\n",
    "    ax[1].plot(uncert_aux, err_aux, marker='.', label='uncal')\n",
    "    ax[1].fill_between(uncert_aux, err_aux-err_aux_var, err_aux+err_aux_var, alpha=alpha)\n",
    "    ax[1].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[1].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[1].set_xlim([0.0008, 0.0023])\n",
    "    ax[1].set_ylim([0.0008, 0.0023])\n",
    "    ax[1].set_xticks([0.001, 0.002])\n",
    "    ax[1].set_yticks([0.001, 0.002])\n",
    "    ax[1].set_aspect(1)\n",
    "    ax[1].set_title(r'aux scaling')\n",
    "    textstr1 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_aux_list)*100).mean().item())\n",
    "    ax[1].text(0.925, 0.075, textstr1, transform=ax[1].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    err_s = torch.stack(err_s_list).mean(dim=0).cpu()\n",
    "    err_s_var = torch.stack(err_s_list).var(dim=0).sqrt().cpu()\n",
    "    uncert_s = torch.stack(uncert_s_list).mean(dim=0).cpu()\n",
    "    ax[2].plot([0, 0.2], [0, 0.2], 'k--')\n",
    "    ax[2].plot(uncert_s, err_s, marker='.', label='uncal')\n",
    "    ax[2].fill_between(uncert_s, err_s-err_s_var, err_s+err_s_var, alpha=alpha)\n",
    "    ax[2].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[2].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[2].set_xlim([0.0008, 0.0022])\n",
    "    ax[2].set_ylim([0.0008, 0.0022])\n",
    "    ax[2].set_xticks([0.001, 0.002])\n",
    "    ax[2].set_yticks([0.001, 0.002])\n",
    "    ax[2].set_aspect(1)\n",
    "    ax[2].set_title(r'$ \\sigma $ scaling')\n",
    "    textstr2 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_s_list)*100).mean().item())\n",
    "    ax[2].text(0.925, 0.075, textstr2, transform=ax[2].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    ax[0].annotate(r'OCT/DenseNet-201', xy=(0, 0.5), xytext=(-ax[0].yaxis.labelpad - 5, 0),\n",
    "                   xycoords=ax[0].yaxis.label, textcoords='offset points',\n",
    "                   size='large', ha='right', va='center', fontsize=10, rotation=90)\n",
    "    fig.tight_layout()\n",
    "    fig.show()\n",
    "\n",
    "    fig.savefig(f\"results_levi_oct_{base_model}.pdf\", bbox_inches='tight', pad_inches=0.01)\n",
    "    save_log(base_model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"680\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if base_model == 'efficientnetb4':\n",
    "    fig, ax = plt.subplots(1, 3, figsize=(6.8, 2.75))\n",
    "\n",
    "    alpha = 0.4\n",
    "    props = dict(boxstyle='round', facecolor='white', alpha=0.75)\n",
    "\n",
    "    err_uncal = torch.stack(err_uncal_list).mean(dim=0).cpu()\n",
    "    err_uncal_var = torch.stack(err_uncal_list).std(dim=0).cpu()\n",
    "    uncert_uncal = torch.stack(uncert_uncal_list).mean(dim=0).cpu()\n",
    "    ax[0].plot([0, 0.02], [0, 0.02], 'k--')\n",
    "    ax[0].plot(uncert_uncal, err_uncal, marker='.', label='uncal')\n",
    "    ax[0].fill_between(uncert_uncal, err_uncal-err_uncal_var, err_uncal+err_uncal_var, alpha=alpha)\n",
    "    ax[0].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[0].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[0].set_xlim([-0.0002, 0.0022])\n",
    "    ax[0].set_ylim([-0.0002, 0.0022])\n",
    "    ax[0].set_xticks([0, 0.001, 0.002])\n",
    "    ax[0].set_yticks([0, 0.001, 0.002])\n",
    "    ax[0].set_aspect(1)\n",
    "    ax[0].set_title(r'uncalibrated')\n",
    "    textstr0 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_uncal_list)*100).mean().item())\n",
    "    ax[0].text(0.925, 0.075, textstr0, transform=ax[0].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    err_aux = torch.stack(err_aux_list).mean(dim=0).cpu()\n",
    "    err_aux_var = torch.stack(err_aux_list).std(dim=0).cpu()\n",
    "    uncert_aux = torch.stack(uncert_aux_list).mean(dim=0).cpu()\n",
    "    ax[1].plot([0, 0.02], [0, 0.02], 'k--')\n",
    "    ax[1].plot(uncert_aux, err_aux, marker='.', label='uncal')\n",
    "    ax[1].fill_between(uncert_aux, err_aux-err_aux_var, err_aux+err_aux_var, alpha=alpha)\n",
    "    ax[1].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[1].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[1].set_xlim([0.0008, 0.0022])\n",
    "    ax[1].set_ylim([0.0008, 0.0022])\n",
    "    ax[1].set_xticks([0.001, 0.002])\n",
    "    ax[1].set_yticks([0.001, 0.002])\n",
    "    ax[1].set_aspect(1)\n",
    "    ax[1].set_title(r'aux scaling')\n",
    "    textstr1 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_aux_list)*100).mean().item())\n",
    "    ax[1].text(0.925, 0.075, textstr1, transform=ax[1].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    err_s = torch.stack(err_s_list).mean(dim=0).cpu()\n",
    "    err_s_var = torch.stack(err_s_list).std(dim=0).cpu()\n",
    "    uncert_s = torch.stack(uncert_s_list).mean(dim=0).cpu()\n",
    "    ax[2].plot([0, 0.02], [0, 0.02], 'k--')\n",
    "    ax[2].plot(uncert_s, err_s, marker='.', label='uncal')\n",
    "    ax[2].fill_between(uncert_s, err_s-err_s_var, err_s+err_s_var, alpha=alpha)\n",
    "    ax[2].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[2].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[2].set_xlim([0.0008, 0.0022])\n",
    "    ax[2].set_ylim([0.0008, 0.0022])\n",
    "    ax[2].set_xticks([0.001, 0.002])\n",
    "    ax[2].set_yticks([0.001, 0.002])\n",
    "    ax[2].set_aspect(1)\n",
    "    ax[2].set_title(r'$ \\sigma $ scaling')\n",
    "    textstr2 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_s_list)*100).mean().item())\n",
    "    ax[2].text(0.925, 0.075, textstr2, transform=ax[2].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    ax[0].annotate(r'OCT/EfficientNet-B4', xy=(0, 0.5), xytext=(-ax[0].yaxis.labelpad - 5, 0),\n",
    "                   xycoords=ax[0].yaxis.label, textcoords='offset points',\n",
    "                   size='large', ha='right', va='center', fontsize=10, rotation=90)\n",
    "    fig.tight_layout()\n",
    "    fig.show()\n",
    "\n",
    "    fig.savefig(f\"results_levi_oct_{base_model}.pdf\", bbox_inches='tight', pad_inches=0.01)\n",
    "    save_log(base_model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.save(f\"uce_uncal_levi_oct_{base_model}\", np.array([i.detach().numpy() for i in uce_uncal_list]))\n",
    "np.save(f\"err_uncal_levi_oct_{base_model}\", np.array([i.detach().numpy() for i in err_uncal_list]))\n",
    "np.save(f\"uncert_uncal_levi_oct_{base_model}\", np.array([i.detach().numpy() for i in uncert_uncal_list]))\n",
    "\n",
    "np.save(f\"uce_s_levi_oct_{base_model}\", np.array([i.detach().numpy() for i in uce_s_list]))\n",
    "np.save(f\"err_s_levi_oct_{base_model}\", np.array([i.detach().numpy() for i in err_s_list]))\n",
    "np.save(f\"uncert_s_levi_oct_{base_model}\", np.array([i.detach().numpy() for i in uncert_s_list]))\n",
    "\n",
    "np.save(f\"uce_aux_levi_oct_{base_model}\", np.array([i.detach().numpy() for i in uce_aux_list]))\n",
    "np.save(f\"err_aux_levi_oct_{base_model}\", np.array([i.detach().numpy() for i in err_aux_list]))\n",
    "np.save(f\"uncert_aux_levi_oct_{base_model}\", np.array([i.detach().numpy() for i in uncert_aux_list]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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