From 4e325bfc287367218f4348aa78b0bae3c2c98acc Mon Sep 17 00:00:00 2001 From: Facundo Sapienza Date: Sat, 9 Sep 2023 22:02:25 +0000 Subject: [PATCH] explanation of parameters in notebook --- notebooks/Sampling_example.ipynb | 70 +++++++++++++++++++++----------- 1 file changed, 47 insertions(+), 23 deletions(-) diff --git a/notebooks/Sampling_example.ipynb b/notebooks/Sampling_example.ipynb index 87ecc3d..b3ec3ad 100644 --- a/notebooks/Sampling_example.ipynb +++ b/notebooks/Sampling_example.ipynb @@ -7,12 +7,12 @@ "source": [ "## Example of sampling\n", "\n", - "Here we illustrate an example of how to generate samples using `smpsite`. " + "Here we illustrate an example of how to generate samples using our small Python package `smpsite`. Many of the sampling capabilities are directly imported from `pmagpy`. " ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 1, "id": "668e70af-7010-407b-97a9-16585b89f6a3", "metadata": {}, "outputs": [], @@ -22,6 +22,9 @@ "import matplotlib.pyplot as plt\n", "import smpsite as smp\n", "\n", + "import numpy as np\n", + "np.random.seed(666)\n", + "\n", "%matplotlib inline" ] }, @@ -30,56 +33,77 @@ "id": "6330c014-941a-414d-a787-6b60e2fbfe12", "metadata": {}, "source": [ - "We define a parameter class defined inside `smpsite` that allow us to specify all the parameters of interest at the same time. " + "We define a parameter class defined inside `smpsite` that allow us to specify all the parameters of interest at the same time. These parameters include:\n", + "- `N`: Total number of sites\n", + "- `n0`: Number of samples per site\n", + "- `kappa_within_site`: Concentration parameter of the Fisher distribution in each site\n", + "- `site_lat`: Latitude of the site\n", + "- `site_long`: Longitude of the site\n", + "- `outlier_rate`: Fraction of samples that are randomly taken from the uniform distribution in the sphere, with `0.0` representing no outliers and `1.0` representing all outliers. \n", + "- `secular_method`: Method use to sample VGPs. It includes `G`, `tk03` and `Fisher`. \n", + "- `kappa_secular`: In case of `secular_method=\"Fisher\"`, it specifies the concentration parameter of the Fisher distribution. " ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 2, "id": "7828bea3-3d38-40f3-a140-ab9ce4ffdd05", "metadata": {}, + "outputs": [], + "source": [ + "params0 = smp.Params(N=10,\n", + " n0=4,\n", + " kappa_within_site=100,\n", + " site_lat=10, \n", + " site_long=0,\n", + " outlier_rate=0.10,\n", + " secular_method=\"G\",\n", + " kappa_secular=None)" + ] + }, + { + "cell_type": "markdown", + "id": "8dbc2a35-a1aa-4c2f-9793-f49604a3e7e1", + "metadata": {}, + "source": [ + "Once the parameters are specified, we can just generate a random sample:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "827556d5-e9ac-4051-b355-38fc904c268c", + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 15.8 ms, sys: 4.72 ms, total: 20.5 ms\n", - "Wall time: 17 ms\n" + "CPU times: user 12 ms, sys: 5.88 ms, total: 17.9 ms\n", + "Wall time: 17.2 ms\n" ] } ], "source": [ "%%time\n", "\n", - "params0 = smp.Params(N=10,\n", - " n0=4,\n", - " kappa_within_site=100,\n", - " site_lat=10, \n", - " site_long=0,\n", - " outlier_rate=0.10,\n", - " secular_method=\"G\",\n", - " kappa_secular=None)\n", - "\n", - "\n", "df_sample = smp.generate_samples(params0)" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "id": "394be74f-d61d-4bf7-a588-e3337ad481c9", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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", 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