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<span id="sphx-glr-auto-examples-exercises-plot-cv-digits-py"></span><h1>Cross-validation on Digits Dataset Exercise<a class="headerlink" href="#cross-validation-on-digits-dataset-exercise" title="Permalink to this headline">¶</a></h1>
<p>A tutorial exercise using Cross-validation with an SVM on the Digits dataset.</p>
<p>This exercise is used in the <a class="reference internal" href="../../tutorial/statistical_inference/model_selection.html#cv-generators-tut"><span class="std std-ref">Cross-validation generators</span></a> part of the
<a class="reference internal" href="../../tutorial/statistical_inference/model_selection.html#model-selection-tut"><span class="std std-ref">Model selection: choosing estimators and their parameters</span></a> section of the <a class="reference internal" href="../../tutorial/statistical_inference/index.html#stat-learn-tut-index"><span class="std std-ref">A tutorial on statistical-learning for scientific data processing</span></a>.</p>
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<div class="highlight-default"><div class="highlight"><pre><span></span><span class="nb">print</span><span class="p">(</span><span class="vm">__doc__</span><span class="p">)</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="kn">from</span> <span class="nn">sklearn.model_selection</span> <span class="k">import</span> <a href="../../modules/generated/sklearn.model_selection.cross_val_score.html#sklearn.model_selection.cross_val_score" title="View documentation for sklearn.model_selection.cross_val_score"><span class="n">cross_val_score</span></a>
<span class="kn">from</span> <span class="nn">sklearn</span> <span class="k">import</span> <span class="n">datasets</span><span class="p">,</span> <span class="n">svm</span>
<span class="n">digits</span> <span class="o">=</span> <a href="../../modules/generated/sklearn.datasets.load_digits.html#sklearn.datasets.load_digits" title="View documentation for sklearn.datasets.load_digits"><span class="n">datasets</span><span class="o">.</span><span class="n">load_digits</span></a><span class="p">()</span>
<span class="n">X</span> <span class="o">=</span> <span class="n">digits</span><span class="o">.</span><span class="n">data</span>
<span class="n">y</span> <span class="o">=</span> <span class="n">digits</span><span class="o">.</span><span class="n">target</span>
<span class="n">svc</span> <span class="o">=</span> <a href="../../modules/generated/sklearn.svm.SVC.html#sklearn.svm.SVC" title="View documentation for sklearn.svm.SVC"><span class="n">svm</span><span class="o">.</span><span class="n">SVC</span></a><span class="p">(</span><span class="n">kernel</span><span class="o">=</span><span class="s1">'linear'</span><span class="p">)</span>
<span class="n">C_s</span> <span class="o">=</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.logspace.html#numpy.logspace" title="View documentation for numpy.logspace"><span class="n">np</span><span class="o">.</span><span class="n">logspace</span></a><span class="p">(</span><span class="o">-</span><span class="mi">10</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">10</span><span class="p">)</span>
<span class="n">scores</span> <span class="o">=</span> <span class="nb">list</span><span class="p">()</span>
<span class="n">scores_std</span> <span class="o">=</span> <span class="nb">list</span><span class="p">()</span>
<span class="k">for</span> <span class="n">C</span> <span class="ow">in</span> <span class="n">C_s</span><span class="p">:</span>
<span class="n">svc</span><span class="o">.</span><span class="n">C</span> <span class="o">=</span> <span class="n">C</span>
<span class="n">this_scores</span> <span class="o">=</span> <a href="../../modules/generated/sklearn.model_selection.cross_val_score.html#sklearn.model_selection.cross_val_score" title="View documentation for sklearn.model_selection.cross_val_score"><span class="n">cross_val_score</span></a><span class="p">(</span><span class="n">svc</span><span class="p">,</span> <span class="n">X</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">cv</span><span class="o">=</span><span class="mi">5</span><span class="p">,</span> <span class="n">n_jobs</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
<span class="n">scores</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.mean.html#numpy.mean" title="View documentation for numpy.mean"><span class="n">np</span><span class="o">.</span><span class="n">mean</span></a><span class="p">(</span><span class="n">this_scores</span><span class="p">))</span>
<span class="n">scores_std</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.std.html#numpy.std" title="View documentation for numpy.std"><span class="n">np</span><span class="o">.</span><span class="n">std</span></a><span class="p">(</span><span class="n">this_scores</span><span class="p">))</span>
<span class="c1"># Do the plotting</span>
<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
<a href="https://matplotlib.org/api/_as_gen/matplotlib.pyplot.figure.html#matplotlib.pyplot.figure" title="View documentation for matplotlib.pyplot.figure"><span class="n">plt</span><span class="o">.</span><span class="n">figure</span></a><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">figsize</span><span class="o">=</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="mi">3</span><span class="p">))</span>
<a href="https://matplotlib.org/api/_as_gen/matplotlib.pyplot.clf.html#matplotlib.pyplot.clf" title="View documentation for matplotlib.pyplot.clf"><span class="n">plt</span><span class="o">.</span><span class="n">clf</span></a><span class="p">()</span>
<a href="https://matplotlib.org/api/_as_gen/matplotlib.pyplot.semilogx.html#matplotlib.pyplot.semilogx" title="View documentation for matplotlib.pyplot.semilogx"><span class="n">plt</span><span class="o">.</span><span class="n">semilogx</span></a><span class="p">(</span><span class="n">C_s</span><span class="p">,</span> <span class="n">scores</span><span class="p">)</span>
<a href="https://matplotlib.org/api/_as_gen/matplotlib.pyplot.semilogx.html#matplotlib.pyplot.semilogx" title="View documentation for matplotlib.pyplot.semilogx"><span class="n">plt</span><span class="o">.</span><span class="n">semilogx</span></a><span class="p">(</span><span class="n">C_s</span><span class="p">,</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.array.html#numpy.array" title="View documentation for numpy.array"><span class="n">np</span><span class="o">.</span><span class="n">array</span></a><span class="p">(</span><span class="n">scores</span><span class="p">)</span> <span class="o">+</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.array.html#numpy.array" title="View documentation for numpy.array"><span class="n">np</span><span class="o">.</span><span class="n">array</span></a><span class="p">(</span><span class="n">scores_std</span><span class="p">),</span> <span class="s1">'b--'</span><span class="p">)</span>
<a href="https://matplotlib.org/api/_as_gen/matplotlib.pyplot.semilogx.html#matplotlib.pyplot.semilogx" title="View documentation for matplotlib.pyplot.semilogx"><span class="n">plt</span><span class="o">.</span><span class="n">semilogx</span></a><span class="p">(</span><span class="n">C_s</span><span class="p">,</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.array.html#numpy.array" title="View documentation for numpy.array"><span class="n">np</span><span class="o">.</span><span class="n">array</span></a><span class="p">(</span><span class="n">scores</span><span class="p">)</span> <span class="o">-</span> <a href="https://docs.scipy.org/doc/numpy/reference/generated/numpy.array.html#numpy.array" title="View documentation for numpy.array"><span class="n">np</span><span class="o">.</span><span class="n">array</span></a><span class="p">(</span><span class="n">scores_std</span><span class="p">),</span> <span class="s1">'b--'</span><span class="p">)</span>
<span class="n">locs</span><span class="p">,</span> <span class="n">labels</span> <span class="o">=</span> <a href="https://matplotlib.org/api/_as_gen/matplotlib.pyplot.yticks.html#matplotlib.pyplot.yticks" title="View documentation for matplotlib.pyplot.yticks"><span class="n">plt</span><span class="o">.</span><span class="n">yticks</span></a><span class="p">()</span>
<a href="https://matplotlib.org/api/_as_gen/matplotlib.pyplot.yticks.html#matplotlib.pyplot.yticks" title="View documentation for matplotlib.pyplot.yticks"><span class="n">plt</span><span class="o">.</span><span class="n">yticks</span></a><span class="p">(</span><span class="n">locs</span><span class="p">,</span> <span class="nb">list</span><span class="p">(</span><span class="nb">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="s2">"</span><span class="si">%g</span><span class="s2">"</span> <span class="o">%</span> <span class="n">x</span><span class="p">,</span> <span class="n">locs</span><span class="p">)))</span>
<a href="https://matplotlib.org/api/_as_gen/matplotlib.pyplot.ylabel.html#matplotlib.pyplot.ylabel" title="View documentation for matplotlib.pyplot.ylabel"><span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span></a><span class="p">(</span><span class="s1">'CV score'</span><span class="p">)</span>
<a href="https://matplotlib.org/api/_as_gen/matplotlib.pyplot.xlabel.html#matplotlib.pyplot.xlabel" title="View documentation for matplotlib.pyplot.xlabel"><span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span></a><span class="p">(</span><span class="s1">'Parameter C'</span><span class="p">)</span>
<a href="https://matplotlib.org/api/_as_gen/matplotlib.pyplot.ylim.html#matplotlib.pyplot.ylim" title="View documentation for matplotlib.pyplot.ylim"><span class="n">plt</span><span class="o">.</span><span class="n">ylim</span></a><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">1.1</span><span class="p">)</span>
<a href="https://matplotlib.org/api/_as_gen/matplotlib.pyplot.show.html#matplotlib.pyplot.show" title="View documentation for matplotlib.pyplot.show"><span class="n">plt</span><span class="o">.</span><span class="n">show</span></a><span class="p">()</span>
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