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cross_validation.html
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cross_validation.html
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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>cross_validation</title>
<script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/2.0.3/jquery.min.js"></script>
<style type="text/css">
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<div class=" highlight hl-ipython2"><pre><span class="kn">import</span> <span class="nn">numpy</span><span class="o">,</span> <span class="nn">scipy</span><span class="o">,</span> <span class="nn">matplotlib.pyplot</span> <span class="kn">as</span> <span class="nn">plt</span><span class="o">,</span> <span class="nn">sklearn</span><span class="o">,</span> <span class="nn">stanford_mir</span>
<span class="o">%</span><span class="k">matplotlib</span> inline
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<h1 id="Cross-Validation">Cross Validation<a class="anchor-link" href="#Cross-Validation">¶</a></h1>
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<p><a href="https://en.wikipedia.org/wiki/Cross-validation_(statistics)">K-fold cross validation</a> is a method for evaluating the correctness of a classifier.</p>
<p>For example, with 10-fold cross validation:</p>
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<li>Divide the data set into 10 random partitions.</li>
<li>Choose one of the partitions as the test set. Train on the other nine partitions.</li>
<li>Repeat for the partitions.</li>
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<p>Load some features from ten kick drums and ten snare drums:</p>
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<div class=" highlight hl-ipython2"><pre><span class="n">training_features</span><span class="p">,</span> <span class="n">training_labels</span><span class="p">,</span> <span class="n">scaler</span> <span class="o">=</span> <span class="n">stanford_mir</span><span class="o">.</span><span class="n">get_features</span><span class="p">()</span>
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<pre>
<span class="ansired">---------------------------------------------------------------------------</span>
<span class="ansired">IOError</span> Traceback (most recent call last)
<span class="ansigreen"><ipython-input-4-a7910ded3ac4></span> in <span class="ansicyan"><module></span><span class="ansiblue">()</span>
<span class="ansigreen">----> 1</span><span class="ansired"> </span>training_features<span class="ansiblue">,</span> training_labels<span class="ansiblue">,</span> scaler <span class="ansiblue">=</span> stanford_mir<span class="ansiblue">.</span>get_features<span class="ansiblue">(</span><span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen">/Users/steve/stanford-mir/stanford_mir/core.pyc</span> in <span class="ansicyan">get_features</span><span class="ansiblue">(collection, features, scaler)</span>
<span class="ansigreen"> 20</span> scaler=None):
<span class="ansigreen"> 21</span> <span class="ansigreen">if</span> collection <span class="ansiblue">==</span> <span class="ansiblue">'drum_samples_train'</span><span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen">---> 22</span><span class="ansired"> </span>kick_filepaths<span class="ansiblue">,</span> snare_filepaths <span class="ansiblue">=</span> download_samples<span class="ansiblue">(</span><span class="ansiblue">'drum_samples_train'</span><span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen"> 23</span> kick_signals = [
<span class="ansigreen"> 24</span> librosa<span class="ansiblue">.</span>load<span class="ansiblue">(</span>p<span class="ansiblue">)</span><span class="ansiblue">[</span><span class="ansicyan">0</span><span class="ansiblue">]</span> <span class="ansigreen">for</span> p <span class="ansigreen">in</span> kick_filepaths<span class="ansiblue"></span>
<span class="ansigreen">/Users/steve/stanford-mir/stanford_mir/core.pyc</span> in <span class="ansicyan">download_samples</span><span class="ansiblue">(collection)</span>
<span class="ansigreen"> 86</span> filename <span class="ansiblue">=</span> <span class="ansiblue">'%s_%02d.wav'</span> <span class="ansiblue">%</span> <span class="ansiblue">(</span>drum_type<span class="ansiblue">,</span> i<span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen"> 87</span> urllib.urlretrieve('http://audio.musicinformationretrieval.com/drum_samples/%s' % filename,
<span class="ansigreen">---> 88</span><span class="ansired"> filename=os.path.join(collection, filename))
</span><span class="ansigreen"> 89</span> kick_filepaths <span class="ansiblue">=</span> <span class="ansiblue">[</span>os<span class="ansiblue">.</span>path<span class="ansiblue">.</span>join<span class="ansiblue">(</span>collection<span class="ansiblue">,</span> <span class="ansiblue">'kick_%02d.wav'</span> <span class="ansiblue">%</span> i<span class="ansiblue">)</span> <span class="ansigreen">for</span> i <span class="ansigreen">in</span> range<span class="ansiblue">(</span><span class="ansicyan">1</span><span class="ansiblue">,</span> <span class="ansicyan">11</span><span class="ansiblue">)</span><span class="ansiblue">]</span><span class="ansiblue"></span>
<span class="ansigreen"> 90</span> snare_filepaths <span class="ansiblue">=</span> <span class="ansiblue">[</span>os<span class="ansiblue">.</span>path<span class="ansiblue">.</span>join<span class="ansiblue">(</span>collection<span class="ansiblue">,</span> <span class="ansiblue">'snare_%02d.wav'</span> <span class="ansiblue">%</span> i<span class="ansiblue">)</span> <span class="ansigreen">for</span> i <span class="ansigreen">in</span> range<span class="ansiblue">(</span><span class="ansicyan">1</span><span class="ansiblue">,</span> <span class="ansicyan">11</span><span class="ansiblue">)</span><span class="ansiblue">]</span><span class="ansiblue"></span>
<span class="ansigreen">/usr/local/Cellar/python/2.7.6_1/Frameworks/Python.framework/Versions/2.7/lib/python2.7/urllib.pyc</span> in <span class="ansicyan">urlretrieve</span><span class="ansiblue">(url, filename, reporthook, data)</span>
<span class="ansigreen"> 92</span> <span class="ansigreen">if</span> <span class="ansigreen">not</span> _urlopener<span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen"> 93</span> _urlopener <span class="ansiblue">=</span> FancyURLopener<span class="ansiblue">(</span><span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen">---> 94</span><span class="ansired"> </span><span class="ansigreen">return</span> _urlopener<span class="ansiblue">.</span>retrieve<span class="ansiblue">(</span>url<span class="ansiblue">,</span> filename<span class="ansiblue">,</span> reporthook<span class="ansiblue">,</span> data<span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen"> 95</span> <span class="ansigreen">def</span> urlcleanup<span class="ansiblue">(</span><span class="ansiblue">)</span><span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen"> 96</span> <span class="ansigreen">if</span> _urlopener<span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen">/usr/local/Cellar/python/2.7.6_1/Frameworks/Python.framework/Versions/2.7/lib/python2.7/urllib.pyc</span> in <span class="ansicyan">retrieve</span><span class="ansiblue">(self, url, filename, reporthook, data)</span>
<span class="ansigreen"> 238</span> <span class="ansigreen">except</span> IOError<span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen"> 239</span> <span class="ansigreen">pass</span><span class="ansiblue"></span>
<span class="ansigreen">--> 240</span><span class="ansired"> </span>fp <span class="ansiblue">=</span> self<span class="ansiblue">.</span>open<span class="ansiblue">(</span>url<span class="ansiblue">,</span> data<span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen"> 241</span> <span class="ansigreen">try</span><span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen"> 242</span> headers <span class="ansiblue">=</span> fp<span class="ansiblue">.</span>info<span class="ansiblue">(</span><span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen">/usr/local/Cellar/python/2.7.6_1/Frameworks/Python.framework/Versions/2.7/lib/python2.7/urllib.pyc</span> in <span class="ansicyan">open</span><span class="ansiblue">(self, fullurl, data)</span>
<span class="ansigreen"> 206</span> <span class="ansigreen">try</span><span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen"> 207</span> <span class="ansigreen">if</span> data <span class="ansigreen">is</span> None<span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen">--> 208</span><span class="ansired"> </span><span class="ansigreen">return</span> getattr<span class="ansiblue">(</span>self<span class="ansiblue">,</span> name<span class="ansiblue">)</span><span class="ansiblue">(</span>url<span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen"> 209</span> <span class="ansigreen">else</span><span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen"> 210</span> <span class="ansigreen">return</span> getattr<span class="ansiblue">(</span>self<span class="ansiblue">,</span> name<span class="ansiblue">)</span><span class="ansiblue">(</span>url<span class="ansiblue">,</span> data<span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen">/usr/local/Cellar/python/2.7.6_1/Frameworks/Python.framework/Versions/2.7/lib/python2.7/urllib.pyc</span> in <span class="ansicyan">open_http</span><span class="ansiblue">(self, url, data)</span>
<span class="ansigreen"> 343</span> <span class="ansigreen">if</span> realhost<span class="ansiblue">:</span> h<span class="ansiblue">.</span>putheader<span class="ansiblue">(</span><span class="ansiblue">'Host'</span><span class="ansiblue">,</span> realhost<span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen"> 344</span> <span class="ansigreen">for</span> args <span class="ansigreen">in</span> self<span class="ansiblue">.</span>addheaders<span class="ansiblue">:</span> h<span class="ansiblue">.</span>putheader<span class="ansiblue">(</span><span class="ansiblue">*</span>args<span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen">--> 345</span><span class="ansired"> </span>h<span class="ansiblue">.</span>endheaders<span class="ansiblue">(</span>data<span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen"> 346</span> errcode<span class="ansiblue">,</span> errmsg<span class="ansiblue">,</span> headers <span class="ansiblue">=</span> h<span class="ansiblue">.</span>getreply<span class="ansiblue">(</span><span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen"> 347</span> fp <span class="ansiblue">=</span> h<span class="ansiblue">.</span>getfile<span class="ansiblue">(</span><span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen">/usr/local/Cellar/python/2.7.6_1/Frameworks/Python.framework/Versions/2.7/lib/python2.7/httplib.pyc</span> in <span class="ansicyan">endheaders</span><span class="ansiblue">(self, message_body)</span>
<span class="ansigreen"> 967</span> <span class="ansigreen">else</span><span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen"> 968</span> <span class="ansigreen">raise</span> CannotSendHeader<span class="ansiblue">(</span><span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen">--> 969</span><span class="ansired"> </span>self<span class="ansiblue">.</span>_send_output<span class="ansiblue">(</span>message_body<span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen"> 970</span> <span class="ansiblue"></span>
<span class="ansigreen"> 971</span> <span class="ansigreen">def</span> request<span class="ansiblue">(</span>self<span class="ansiblue">,</span> method<span class="ansiblue">,</span> url<span class="ansiblue">,</span> body<span class="ansiblue">=</span>None<span class="ansiblue">,</span> headers<span class="ansiblue">=</span><span class="ansiblue">{</span><span class="ansiblue">}</span><span class="ansiblue">)</span><span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen">/usr/local/Cellar/python/2.7.6_1/Frameworks/Python.framework/Versions/2.7/lib/python2.7/httplib.pyc</span> in <span class="ansicyan">_send_output</span><span class="ansiblue">(self, message_body)</span>
<span class="ansigreen"> 827</span> msg <span class="ansiblue">+=</span> message_body<span class="ansiblue"></span>
<span class="ansigreen"> 828</span> message_body <span class="ansiblue">=</span> None<span class="ansiblue"></span>
<span class="ansigreen">--> 829</span><span class="ansired"> </span>self<span class="ansiblue">.</span>send<span class="ansiblue">(</span>msg<span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen"> 830</span> <span class="ansigreen">if</span> message_body <span class="ansigreen">is</span> <span class="ansigreen">not</span> None<span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen"> 831</span> <span class="ansired">#message_body was not a string (i.e. it is a file) and</span><span class="ansiblue"></span><span class="ansiblue"></span>
<span class="ansigreen">/usr/local/Cellar/python/2.7.6_1/Frameworks/Python.framework/Versions/2.7/lib/python2.7/httplib.pyc</span> in <span class="ansicyan">send</span><span class="ansiblue">(self, data)</span>
<span class="ansigreen"> 789</span> <span class="ansigreen">if</span> self<span class="ansiblue">.</span>sock <span class="ansigreen">is</span> None<span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen"> 790</span> <span class="ansigreen">if</span> self<span class="ansiblue">.</span>auto_open<span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen">--> 791</span><span class="ansired"> </span>self<span class="ansiblue">.</span>connect<span class="ansiblue">(</span><span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen"> 792</span> <span class="ansigreen">else</span><span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen"> 793</span> <span class="ansigreen">raise</span> NotConnected<span class="ansiblue">(</span><span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansigreen">/usr/local/Cellar/python/2.7.6_1/Frameworks/Python.framework/Versions/2.7/lib/python2.7/httplib.pyc</span> in <span class="ansicyan">connect</span><span class="ansiblue">(self)</span>
<span class="ansigreen"> 770</span> <span class="ansiblue">"""Connect to the host and port specified in __init__."""</span><span class="ansiblue"></span>
<span class="ansigreen"> 771</span> self.sock = socket.create_connection((self.host,self.port),
<span class="ansigreen">--> 772</span><span class="ansired"> self.timeout, self.source_address)
</span><span class="ansigreen"> 773</span> <span class="ansiblue"></span>
<span class="ansigreen"> 774</span> <span class="ansigreen">if</span> self<span class="ansiblue">.</span>_tunnel_host<span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen">/usr/local/Cellar/python/2.7.6_1/Frameworks/Python.framework/Versions/2.7/lib/python2.7/socket.pyc</span> in <span class="ansicyan">create_connection</span><span class="ansiblue">(address, timeout, source_address)</span>
<span class="ansigreen"> 551</span> host<span class="ansiblue">,</span> port <span class="ansiblue">=</span> address<span class="ansiblue"></span>
<span class="ansigreen"> 552</span> err <span class="ansiblue">=</span> None<span class="ansiblue"></span>
<span class="ansigreen">--> 553</span><span class="ansired"> </span><span class="ansigreen">for</span> res <span class="ansigreen">in</span> getaddrinfo<span class="ansiblue">(</span>host<span class="ansiblue">,</span> port<span class="ansiblue">,</span> <span class="ansicyan">0</span><span class="ansiblue">,</span> SOCK_STREAM<span class="ansiblue">)</span><span class="ansiblue">:</span><span class="ansiblue"></span>
<span class="ansigreen"> 554</span> af<span class="ansiblue">,</span> socktype<span class="ansiblue">,</span> proto<span class="ansiblue">,</span> canonname<span class="ansiblue">,</span> sa <span class="ansiblue">=</span> res<span class="ansiblue"></span>
<span class="ansigreen"> 555</span> sock <span class="ansiblue">=</span> None<span class="ansiblue"></span>
<span class="ansired">IOError</span>: [Errno socket error] [Errno 8] nodename nor servname provided, or not known</pre>
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<div class=" highlight hl-ipython2"><pre><span class="k">print</span> <span class="n">training_labels</span>
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<pre>[ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 1. 1. 1. 1. 1. 1. 1.
1. 1.]
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<p>Plot their features:</p>
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<div class=" highlight hl-ipython2"><pre><span class="n">plt</span><span class="o">.</span><span class="n">scatter</span><span class="p">(</span><span class="n">training_features</span><span class="p">[:,</span><span class="mi">0</span><span class="p">],</span> <span class="n">training_features</span><span class="p">[:,</span><span class="mi">1</span><span class="p">])</span>
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<pre>
<span class="ansired">---------------------------------------------------------------------------</span>
<span class="ansired">NameError</span> Traceback (most recent call last)
<span class="ansigreen"><ipython-input-2-f00bdfd12558></span> in <span class="ansicyan"><module></span><span class="ansiblue">()</span>
<span class="ansigreen">----> 1</span><span class="ansired"> </span>plt<span class="ansiblue">.</span>scatter<span class="ansiblue">(</span>training_features<span class="ansiblue">[</span><span class="ansiblue">:</span><span class="ansiblue">,</span><span class="ansicyan">0</span><span class="ansiblue">]</span><span class="ansiblue">,</span> training_features<span class="ansiblue">[</span><span class="ansiblue">:</span><span class="ansiblue">,</span><span class="ansicyan">1</span><span class="ansiblue">]</span><span class="ansiblue">)</span><span class="ansiblue"></span>
<span class="ansired">NameError</span>: name 'training_features' is not defined</pre>
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<p>Initialize the classifier:</p>
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<div class=" highlight hl-ipython2"><pre><span class="n">model</span> <span class="o">=</span> <span class="n">sklearn</span><span class="o">.</span><span class="n">neighbors</span><span class="o">.</span><span class="n">KNeighborsClassifier</span><span class="p">(</span><span class="n">n_neighbors</span><span class="o">=</span><span class="mi">3</span><span class="p">)</span>
<span class="n">model</span> <span class="o">=</span> <span class="n">sklearn</span><span class="o">.</span><span class="n">linear_model</span><span class="o">.</span><span class="n">LogisticRegression</span><span class="p">()</span>
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<p>Perform 5-fold cross validation:</p>
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<div class=" highlight hl-ipython2"><pre><span class="n">acc</span> <span class="o">=</span> <span class="n">sklearn</span><span class="o">.</span><span class="n">cross_validation</span><span class="o">.</span><span class="n">cross_val_score</span><span class="p">(</span><span class="n">model</span><span class="p">,</span> <span class="n">random_features</span><span class="p">,</span> <span class="n">training_labels</span><span class="p">,</span> <span class="n">cv</span><span class="o">=</span><span class="mi">5</span><span class="p">)</span>
</pre></div>
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<div class="prompt input_prompt">In [30]:</div>
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<div class=" highlight hl-ipython2"><pre><span class="k">print</span> <span class="n">acc</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span>
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<pre>0.5
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<div class=" highlight hl-ipython2"><pre><span class="n">k</span>
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