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lsh_fingerprinting.html
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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>lsh_fingerprinting</title>
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<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/2.0.3/jquery.min.js"></script>
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<h1 id="Music-Fingerprinting-using-Locality-Sensitive-Hashing">Music Fingerprinting using Locality Sensitive Hashing<a class="anchor-link" href="#Music-Fingerprinting-using-Locality-Sensitive-Hashing">¶</a></h1>
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<p>This notebook shows a simple system for performing retrieval of musical tracks using LSH.</p>
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<p>Import libraries:</p>
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<div class=" highlight hl-ipython3"><pre><span class="kn">import</span> <span class="nn">librosa</span>
<span class="kn">import</span> <span class="nn">os</span>
<span class="kn">import</span> <span class="nn">os.path</span>
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<p>Set figure size:</p>
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<div class=" highlight hl-ipython3"><pre><span class="n">rcParams</span><span class="p">[</span><span class="s">'figure.figsize'</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="mi">15</span><span class="p">,</span> <span class="mi">5</span><span class="p">)</span>
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<p>Select training data:</p>
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<div class=" highlight hl-ipython3"><pre><span class="n">training_dir</span> <span class="o">=</span> <span class="s">'../train/'</span>
<span class="n">training_files</span> <span class="o">=</span> <span class="p">[</span><span class="n">os</span><span class="o">.</span><span class="n">path</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">training_dir</span><span class="p">,</span> <span class="n">f</span><span class="p">)</span> <span class="k">for</span> <span class="n">f</span> <span class="ow">in</span> <span class="n">os</span><span class="o">.</span><span class="n">listdir</span><span class="p">(</span><span class="n">training_dir</span><span class="p">)]</span>
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<p>Define a hash function:</p>
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<div class=" highlight hl-ipython3"><pre><span class="k">def</span> <span class="nf">hash_func</span><span class="p">(</span><span class="n">vecs</span><span class="p">,</span> <span class="n">projections</span><span class="p">):</span>
<span class="n">bools</span> <span class="o">=</span> <span class="n">dot</span><span class="p">(</span><span class="n">vecs</span><span class="p">,</span> <span class="n">projections</span><span class="o">.</span><span class="n">T</span><span class="p">)</span> <span class="o">></span> <span class="mi">0</span>
<span class="k">return</span> <span class="p">[</span><span class="n">bool2int</span><span class="p">(</span><span class="n">bool_vec</span><span class="p">)</span> <span class="k">for</span> <span class="n">bool_vec</span> <span class="ow">in</span> <span class="n">bools</span><span class="p">]</span>
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<div class=" highlight hl-ipython3"><pre><span class="k">def</span> <span class="nf">bool2int</span><span class="p">(</span><span class="n">x</span><span class="p">):</span>
<span class="n">y</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">for</span> <span class="n">i</span><span class="p">,</span><span class="n">j</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">x</span><span class="p">):</span>
<span class="k">if</span> <span class="n">j</span><span class="p">:</span> <span class="n">y</span> <span class="o">+=</span> <span class="mi">1</span><span class="o"><<</span><span class="n">i</span>
<span class="k">return</span> <span class="n">y</span>
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<div class=" highlight hl-ipython3"><pre><span class="n">bool2int</span><span class="p">([</span><span class="k">False</span><span class="p">,</span> <span class="k">True</span><span class="p">,</span> <span class="k">False</span><span class="p">,</span> <span class="k">True</span><span class="p">])</span>
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<pre>10</pre>
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<div class=" highlight hl-ipython3"><pre><span class="n">X</span> <span class="o">=</span> <span class="n">randn</span><span class="p">(</span><span class="mi">10</span><span class="p">,</span><span class="mi">100</span><span class="p">)</span>
<span class="n">P</span> <span class="o">=</span> <span class="n">randn</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span><span class="mi">100</span><span class="p">)</span>
<span class="n">hash_func</span><span class="p">(</span><span class="n">X</span><span class="p">,</span> <span class="n">P</span><span class="p">)</span>
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<pre>[6, 7, 4, 6, 3, 0, 0, 4, 0, 3]</pre>
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<h3 id="Create-three-LSH-structures:-Table,-LSH,-and-MusicSearch:">Create three LSH structures: Table, LSH, and MusicSearch:<a class="anchor-link" href="#Create-three-LSH-structures:-Table,-LSH,-and-MusicSearch:">¶</a></h3>
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<div class=" highlight hl-ipython3"><pre><span class="k">class</span> <span class="nc">Table</span><span class="p">:</span>
<span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">hash_size</span><span class="p">,</span> <span class="n">dim</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">table</span> <span class="o">=</span> <span class="nb">dict</span><span class="p">()</span>
<span class="bp">self</span><span class="o">.</span><span class="n">hash_size</span> <span class="o">=</span> <span class="n">hash_size</span>
<span class="bp">self</span><span class="o">.</span><span class="n">projections</span> <span class="o">=</span> <span class="n">randn</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">hash_size</span><span class="p">,</span> <span class="n">dim</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">add</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">vecs</span><span class="p">,</span> <span class="n">label</span><span class="p">):</span>
<span class="n">entry</span> <span class="o">=</span> <span class="p">{</span><span class="s">'label'</span><span class="p">:</span> <span class="n">label</span><span class="p">}</span>
<span class="n">hashes</span> <span class="o">=</span> <span class="n">hash_func</span><span class="p">(</span><span class="n">vecs</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">projections</span><span class="p">)</span>
<span class="k">for</span> <span class="n">h</span> <span class="ow">in</span> <span class="n">hashes</span><span class="p">:</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">table</span><span class="o">.</span><span class="n">has_key</span><span class="p">(</span><span class="n">h</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">table</span><span class="p">[</span><span class="n">h</span><span class="p">]</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">entry</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span>
<span class="bp">self</span><span class="o">.</span><span class="n">table</span><span class="p">[</span><span class="n">h</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="n">entry</span><span class="p">]</span>
<span class="k">def</span> <span class="nf">query</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">vecs</span><span class="p">):</span>
<span class="n">hashes</span> <span class="o">=</span> <span class="n">hash_func</span><span class="p">(</span><span class="n">vecs</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">projections</span><span class="p">)</span>
<span class="n">results</span> <span class="o">=</span> <span class="nb">list</span><span class="p">()</span>
<span class="k">for</span> <span class="n">h</span> <span class="ow">in</span> <span class="n">hashes</span><span class="p">:</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">table</span><span class="o">.</span><span class="n">has_key</span><span class="p">(</span><span class="n">h</span><span class="p">):</span>
<span class="n">results</span><span class="o">.</span><span class="n">extend</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">table</span><span class="p">[</span><span class="n">h</span><span class="p">])</span>
<span class="k">return</span> <span class="n">results</span>
</pre></div>
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<div class="input">
<div class="prompt input_prompt">In [34]:</div>
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<div class="input_area">
<div class=" highlight hl-ipython3"><pre><span class="k">class</span> <span class="nc">LSH</span><span class="p">:</span>
<span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">dim</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">num_tables</span> <span class="o">=</span> <span class="mi">4</span>
<span class="bp">self</span><span class="o">.</span><span class="n">hash_size</span> <span class="o">=</span> <span class="mi">8</span>
<span class="bp">self</span><span class="o">.</span><span class="n">tables</span> <span class="o">=</span> <span class="nb">list</span><span class="p">()</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">num_tables</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">tables</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">Table</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">hash_size</span><span class="p">,</span> <span class="n">dim</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">add</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">vecs</span><span class="p">,</span> <span class="n">label</span><span class="p">):</span>
<span class="k">for</span> <span class="n">table</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">tables</span><span class="p">:</span>
<span class="n">table</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">vecs</span><span class="p">,</span> <span class="n">label</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">query</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">vecs</span><span class="p">):</span>
<span class="n">results</span> <span class="o">=</span> <span class="nb">list</span><span class="p">()</span>
<span class="k">for</span> <span class="n">table</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">tables</span><span class="p">:</span>
<span class="n">results</span><span class="o">.</span><span class="n">extend</span><span class="p">(</span><span class="n">table</span><span class="o">.</span><span class="n">query</span><span class="p">(</span><span class="n">vecs</span><span class="p">))</span>
<span class="k">return</span> <span class="n">results</span>
<span class="k">def</span> <span class="nf">describe</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="k">for</span> <span class="n">table</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">tables</span><span class="p">:</span>
<span class="nb">print</span> <span class="n">table</span><span class="o">.</span><span class="n">table</span>
</pre></div>
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<div class="input">
<div class="prompt input_prompt">In [35]:</div>
<div class="inner_cell">
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<div class=" highlight hl-ipython3"><pre><span class="k">class</span> <span class="nc">MusicSearch</span><span class="p">:</span>
<span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">training_files</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">frame_size</span> <span class="o">=</span> <span class="mi">4096</span>
<span class="bp">self</span><span class="o">.</span><span class="n">hop_size</span> <span class="o">=</span> <span class="mi">4000</span>
<span class="bp">self</span><span class="o">.</span><span class="n">fv_size</span> <span class="o">=</span> <span class="mi">12</span>
<span class="bp">self</span><span class="o">.</span><span class="n">lsh</span> <span class="o">=</span> <span class="n">LSH</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">fv_size</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">training_files</span> <span class="o">=</span> <span class="n">training_files</span>
<span class="bp">self</span><span class="o">.</span><span class="n">num_features_in_file</span> <span class="o">=</span> <span class="nb">dict</span><span class="p">()</span>
<span class="k">for</span> <span class="n">f</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">training_files</span><span class="p">:</span>
<span class="bp">self</span><span class="o">.</span><span class="n">num_features_in_file</span><span class="p">[</span><span class="n">f</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">def</span> <span class="nf">train</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="k">for</span> <span class="n">filepath</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">training_files</span><span class="p">:</span>
<span class="n">x</span><span class="p">,</span> <span class="n">fs</span> <span class="o">=</span> <span class="n">librosa</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">filepath</span><span class="p">)</span>
<span class="n">features</span> <span class="o">=</span> <span class="n">librosa</span><span class="o">.</span><span class="n">feature</span><span class="o">.</span><span class="n">chromagram</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">fs</span><span class="p">,</span> <span class="n">n_fft</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">frame_size</span><span class="p">,</span> <span class="n">hop_length</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">hop_size</span><span class="p">)</span><span class="o">.</span><span class="n">T</span>
<span class="bp">self</span><span class="o">.</span><span class="n">lsh</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="n">features</span><span class="p">,</span> <span class="n">filepath</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">num_features_in_file</span><span class="p">[</span><span class="n">filepath</span><span class="p">]</span> <span class="o">+=</span> <span class="nb">len</span><span class="p">(</span><span class="n">features</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">query</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">filepath</span><span class="p">):</span>
<span class="n">x</span><span class="p">,</span> <span class="n">fs</span> <span class="o">=</span> <span class="n">librosa</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">filepath</span><span class="p">)</span>
<span class="n">features</span> <span class="o">=</span> <span class="n">librosa</span><span class="o">.</span><span class="n">feature</span><span class="o">.</span><span class="n">chromagram</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">fs</span><span class="p">,</span> <span class="n">n_fft</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">frame_size</span><span class="p">,</span> <span class="n">hop_length</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">hop_size</span><span class="p">)</span><span class="o">.</span><span class="n">T</span>
<span class="n">results</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">lsh</span><span class="o">.</span><span class="n">query</span><span class="p">(</span><span class="n">features</span><span class="p">)</span>
<span class="nb">print</span> <span class="s">'num results'</span><span class="p">,</span> <span class="nb">len</span><span class="p">(</span><span class="n">results</span><span class="p">)</span>
<span class="n">counts</span> <span class="o">=</span> <span class="nb">dict</span><span class="p">()</span>
<span class="k">for</span> <span class="n">r</span> <span class="ow">in</span> <span class="n">results</span><span class="p">:</span>
<span class="k">if</span> <span class="n">counts</span><span class="o">.</span><span class="n">has_key</span><span class="p">(</span><span class="n">r</span><span class="p">[</span><span class="s">'label'</span><span class="p">]):</span>
<span class="n">counts</span><span class="p">[</span><span class="n">r</span><span class="p">[</span><span class="s">'label'</span><span class="p">]]</span> <span class="o">+=</span> <span class="mi">1</span>
<span class="k">else</span><span class="p">:</span>
<span class="n">counts</span><span class="p">[</span><span class="n">r</span><span class="p">[</span><span class="s">'label'</span><span class="p">]]</span> <span class="o">=</span> <span class="mi">1</span>
<span class="k">for</span> <span class="n">k</span> <span class="ow">in</span> <span class="n">counts</span><span class="p">:</span>
<span class="n">counts</span><span class="p">[</span><span class="n">k</span><span class="p">]</span> <span class="o">=</span> <span class="nb">float</span><span class="p">(</span><span class="n">counts</span><span class="p">[</span><span class="n">k</span><span class="p">])</span><span class="o">/</span><span class="bp">self</span><span class="o">.</span><span class="n">num_features_in_file</span><span class="p">[</span><span class="n">k</span><span class="p">]</span>
<span class="k">return</span> <span class="n">counts</span>
</pre></div>
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<p>Train:</p>
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<div class="input">
<div class="prompt input_prompt">In [36]:</div>
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<div class=" highlight hl-ipython3"><pre><span class="n">ms</span> <span class="o">=</span> <span class="n">MusicSearch</span><span class="p">(</span><span class="n">training_files</span><span class="p">)</span>
<span class="n">ms</span><span class="o">.</span><span class="n">train</span><span class="p">()</span>
</pre></div>
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<div class="text_cell_render border-box-sizing rendered_html">
<p>Test:</p>
</div>
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<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In [39]:</div>
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<div class=" highlight hl-ipython3"><pre><span class="n">test_file</span> <span class="o">=</span> <span class="s">'../test/brennan03.wav'</span>
<span class="n">results</span> <span class="o">=</span> <span class="n">ms</span><span class="o">.</span><span class="n">query</span><span class="p">(</span><span class="n">test_file</span><span class="p">)</span>
</pre></div>
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<pre>num results 171464
</pre>
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<div class="text_cell_render border-box-sizing rendered_html">
<p>Display the results:</p>
</div>
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<div class="cell border-box-sizing code_cell rendered">
<div class="input">
<div class="prompt input_prompt">In [40]:</div>
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<div class=" highlight hl-ipython3"><pre><span class="k">for</span> <span class="n">r</span> <span class="ow">in</span> <span class="nb">sorted</span><span class="p">(</span><span class="n">results</span><span class="p">,</span> <span class="n">key</span><span class="o">=</span><span class="n">results</span><span class="o">.</span><span class="n">get</span><span class="p">,</span> <span class="n">reverse</span><span class="o">=</span><span class="k">True</span><span class="p">):</span>
<span class="nb">print</span> <span class="n">r</span><span class="p">,</span> <span class="n">results</span><span class="p">[</span><span class="n">r</span><span class="p">]</span>
</pre></div>
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<pre>../train/lady_madonna_crop.wav 64.2857142857
../train/lady_madonna.wav 62.9397590361
../train/brandenburg3_01.wav 57.91
../train/brahms_s1_1_perlman_02.wav 50.6964285714
../train/dont_stop_believin.wav 46.626984127
../train/konstantine.wav 45.0076335878
../train/Beethoven_vln_sonata5_Francescatti_01.wav 43.7115384615
../train/office_theme.wav 42.8313253012
../train/brahms_s1_1_perlman_03.wav 42.0535714286
../train/bach_s3_3_szeryng_01.wav 41.8928571429
../train/bach_p3_1_heifetz_01.wav 40.125
../train/Beethoven_vln_sonata5_Zukerman_01.wav 40.0377358491
../train/bach_p3_1_perlman_01.wav 39.6964285714
../train/brahms_s1_1_perlman_05.wav 37.6785714286
../train/brahms_s1_1_perlman_04.wav 37.4107142857
../train/brahms_rhapsody_02.wav 37.2
../train/Bach Vln Partita3 - Milstein 1955 - 03.wav 37.1609195402
../train/brahms_rhapsody_01.wav 36.578313253
../train/Beethoven_vln_sonata5_Zukerman_04.wav 36.0344827586
../train/bach_s3_3_szeryng_05.wav 35.8214285714
../train/bach_p3_1_heifetz_04.wav 34.3392857143
../train/Beethoven_vln_sonata5_Zukerman_02.wav 33.8208955224
../train/bach_p3_1_heifetz_02.wav 33.2321428571
../train/Beethoven_vln_sonata5_Francescatti_05.wav 33.0862068966
../train/bach_p3_1_heifetz_05.wav 32.8928571429
../train/Bach Vln Partita3 - Fischbach 2004 - 03.wav 32.6033519553
../train/Beethoven_vln_sonata5_Oistrakh_01.wav 32.4561403509
../train/Beethoven_vln_sonata5_Francescatti_02.wav 31.546875
../train/Beethoven_vln_sonata5_Oistrakh_04.wav 31.3928571429
../train/Beethoven_vln_sonata5_Francescatti_03.wav 31.0
../train/Beethoven_vln_sonata5_Zukerman_03.wav 30.4166666667
../train/moonlight.wav 30.36
../train/Beethoven_vln_sonata5_Francescatti_04.wav 29.641509434
../train/bach_s3_3_szeryng_02.wav 29.0892857143
../train/Bach Vln Partita3 - Milstein 1955 - 01.wav 28.8102564103
../train/Bach Vln Partita3 - Fischbach 2004 - 01.wav 28.6977777778
../train/bach_p3_1_perlman_02.wav 28.4285714286
../train/Beethoven_vln_sonata5_Oistrakh_05.wav 28.3181818182
../train/Beethoven_vln_sonata5_Zukerman_05.wav 26.6666666667
../train/bach_s3_3_szeryng_04.wav 26.5535714286
../train/Beethoven_vln_sonata5_Oistrakh_02.wav 26.4444444444
../train/bach_p3_1_perlman_05.wav 26.4107142857
../train/bach_p3_1_perlman_06.wav 26.0
../train/bach_p3_1_perlman_04.wav 25.6428571429
../train/bach_p3_1_heifetz_03.wav 25.3928571429
../train/bach_p3_1_perlman_03.wav 24.9464285714
../train/brahms_s1_1_perlman_01.wav 24.6785714286
../train/bach_s3_3_szeryng_03.wav 23.7678571429
../train/bach_s3_3_szeryng_06.wav 23.5178571429
../train/Bach Vln Sonata1 - Fischbach 2004 - 02.wav 23.4891774892
../train/Beethoven_vln_sonata5_Oistrakh_03.wav 23.0909090909
../train/Bach Vln Sonata1 - Milstein 1954 - 02.wav 22.6527777778
../train/brahms_s1_1_perlman_06.wav 17.8035714286
</pre>
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<div class="prompt input_prompt">In [38]:</div>
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<div class=" highlight hl-ipython3"><pre>
</pre></div>
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