
.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/model_selection/plot_precision_recall.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_auto_examples_model_selection_plot_precision_recall.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_auto_examples_model_selection_plot_precision_recall.py:


================
Precision-Recall
================

Example of Precision-Recall metric to evaluate classifier output quality.

Precision-Recall is a useful measure of success of prediction when the
classes are very imbalanced. In information retrieval, precision is a
measure of the fraction of relevant items among actually returned items while recall
is a measure of the fraction of items that were returned among all items that should
have been returned. 'Relevancy' here refers to items that are
positively labeled, i.e., true positives and false negatives.

Precision (:math:`P`) is defined as the number of true positives (:math:`T_p`)
over the number of true positives plus the number of false positives
(:math:`F_p`).

.. math::
    P = \frac{T_p}{T_p+F_p}

Recall (:math:`R`) is defined as the number of true positives (:math:`T_p`)
over the number of true positives plus the number of false negatives
(:math:`F_n`).

.. math::
    R = \frac{T_p}{T_p + F_n}

The precision-recall curve shows the tradeoff between precision and
recall for different thresholds. A high area under the curve represents
both high recall and high precision. High precision is achieved by having
few false positives in the returned results, and high recall is achieved by
having few false negatives in the relevant results.
High scores for both show that the classifier is returning
accurate results (high precision), as well as returning a majority of all relevant
results (high recall).

A system with high recall but low precision returns most of the relevant items, but
the proportion of returned results that are incorrectly labeled is high. A
system with high precision but low recall is just the opposite, returning very
few of the relevant items, but most of its predicted labels are correct when compared
to the actual labels. An ideal system with high precision and high recall will
return most of the relevant items, with most results labeled correctly.

The definition of precision (:math:`\frac{T_p}{T_p + F_p}`) shows that lowering
the threshold of a classifier may increase the denominator, by increasing the
number of results returned. If the threshold was previously set too high, the
new results may all be true positives, which will increase precision. If the
previous threshold was about right or too low, further lowering the threshold
will introduce false positives, decreasing precision.

Recall is defined as :math:`\frac{T_p}{T_p+F_n}`, where :math:`T_p+F_n` does
not depend on the classifier threshold. Changing the classifier threshold can only
change the numerator, :math:`T_p`. Lowering the classifier
threshold may increase recall, by increasing the number of true positive
results. It is also possible that lowering the threshold may leave recall
unchanged, while the precision fluctuates. Thus, precision does not necessarily
decrease with recall.

The relationship between recall and precision can be observed in the
stairstep area of the plot - at the edges of these steps a small change
in the threshold considerably reduces precision, with only a minor gain in
recall.

**Average precision** (AP) summarizes such a plot as the weighted mean of
precisions achieved at each threshold, with the increase in recall from the
previous threshold used as the weight:

:math:`\text{AP} = \sum_n (R_n - R_{n-1}) P_n`

where :math:`P_n` and :math:`R_n` are the precision and recall at the
nth threshold. A pair :math:`(R_k, P_k)` is referred to as an
*operating point*.

AP and the trapezoidal area under the operating points
(:func:`sklearn.metrics.auc`) are common ways to summarize a precision-recall
curve that lead to different results. Read more in the
:ref:`User Guide <precision_recall_f_measure_metrics>`.

Precision-recall curves are typically used in binary classification to study
the output of a classifier. In order to extend the precision-recall curve and
average precision to multi-class or multi-label classification, it is necessary
to binarize the output. One curve can be drawn per label, but one can also draw
a precision-recall curve by considering each element of the label indicator
matrix as a binary prediction (:ref:`micro-averaging <average>`).

.. note::

    See also :func:`sklearn.metrics.average_precision_score`,
             :func:`sklearn.metrics.recall_score`,
             :func:`sklearn.metrics.precision_score`,
             :func:`sklearn.metrics.f1_score`

.. GENERATED FROM PYTHON SOURCE LINES 94-98

.. code-block:: Python


    # Authors: The scikit-learn developers
    # SPDX-License-Identifier: BSD-3-Clause








.. GENERATED FROM PYTHON SOURCE LINES 99-106

In binary classification settings
---------------------------------

Dataset and model
.................

We will use a Linear SVC classifier to differentiate two types of irises.

.. GENERATED FROM PYTHON SOURCE LINES 106-123

.. code-block:: Python

    import numpy as np

    from sklearn.datasets import load_iris
    from sklearn.model_selection import train_test_split

    X, y = load_iris(return_X_y=True)

    # Add noisy features
    random_state = np.random.RandomState(0)
    n_samples, n_features = X.shape
    X = np.concatenate([X, random_state.randn(n_samples, 200 * n_features)], axis=1)

    # Limit to the two first classes, and split into training and test
    X_train, X_test, y_train, y_test = train_test_split(
        X[y < 2], y[y < 2], test_size=0.5, random_state=random_state
    )








.. GENERATED FROM PYTHON SOURCE LINES 124-127

Linear SVC will expect each feature to have a similar range of values. Thus,
we will first scale the data using a
:class:`~sklearn.preprocessing.StandardScaler`.

.. GENERATED FROM PYTHON SOURCE LINES 127-134

.. code-block:: Python

    from sklearn.pipeline import make_pipeline
    from sklearn.preprocessing import StandardScaler
    from sklearn.svm import LinearSVC

    classifier = make_pipeline(StandardScaler(), LinearSVC(random_state=random_state))
    classifier.fit(X_train, y_train)






.. raw:: html

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      --sklearn-color-unfitted-level-0: #fff5e6;
      --sklearn-color-unfitted-level-1: #f6e4d2;
      --sklearn-color-unfitted-level-2: #ffe0b3;
      --sklearn-color-unfitted-level-3: chocolate;
      /* Definition of color scheme for fitted estimators */
      --sklearn-color-fitted-level-0: #f0f8ff;
      --sklearn-color-fitted-level-1: #d4ebff;
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         default hidden behavior on the sphinx rendered scikit-learn.org.
         See: https://github.com/scikit-learn/scikit-learn/issues/21755 */
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    */

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    }

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    /* Colorize estimator box */
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    */
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        text-decoration: underline dashed;
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    }

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        display: none;
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        margin-left: 1.5em;
        color: var(--sklearn-color-text);
        box-shadow: .3em .3em .4em #999;
        width: max-content;
        text-align: left;
        max-height: 10em;
        overflow-y: auto;

        /* unfitted */
        background: var(--sklearn-color-unfitted-level-0);
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        position: fixed;
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        }
    }

    /* Fitted state for parameter tooltips */
    .fitted .param-doc-description {
        /* fitted */
        background: var(--sklearn-color-fitted-level-0);
        border: thin solid var(--sklearn-color-fitted-level-3);
    }

    .param-doc-link:hover .param-doc-description {
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    </style><body><div id="sk-container-id-40" tabindex="0" class="sk-top-container sk-global"><div class="sk-text-repr-fallback"><pre>Pipeline(steps=[(&#x27;standardscaler&#x27;, StandardScaler()),
                    (&#x27;linearsvc&#x27;,
                     LinearSVC(random_state=RandomState(MT19937) at 0x7F09531F5B40))])</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class="sk-container" hidden><div class="sk-item sk-dashed-wrapped"><div class="sk-label-container"><div class="sk-label fitted sk-toggleable"><input class="sk-toggleable__control sk-hidden--visually sk-global" id="sk-estimator-id-137" type="checkbox" ><label for="sk-estimator-id-137" class="sk-toggleable__label fitted sk-toggleable__label-arrow"><div><div>Pipeline</div></div><div><a class="sk-estimator-doc-link fitted" rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.pipeline.Pipeline.html">?<span>Documentation for Pipeline</span></a><span class="sk-estimator-doc-link fitted">i<span>Fitted</span></span></div></label><div class="sk-toggleable__content fitted" data-param-prefix="">
            <div class="estimator-table">
                <details>
                    <summary>Parameters</summary>
                    <table class="parameters-table">
                      <tbody>
                    
            <tr class="user-set">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('steps',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-steps;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.pipeline.Pipeline.html#:~:text=steps,-list%20of%20tuples">
                steps
                <span class="param-doc-description"
                style="position-anchor: --doc-link-steps;">
                steps: list of tuples<br><br>List of (name of step, estimator) tuples that are to be chained in<br>sequential order. To be compatible with the scikit-learn API, all steps<br>must define `fit`. All non-last steps must also define `transform`. See<br>:ref:`Combining Estimators &lt;combining_estimators&gt;` for more details.</span>
            </a>
        </td>
                <td class="value">[(&#x27;standardscaler&#x27;, ...), (&#x27;linearsvc&#x27;, ...)]</td>
            </tr>
    

            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('transform_input',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-transform_input;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.pipeline.Pipeline.html#:~:text=transform_input,-list%20of%20str%2C%20default%3DNone">
                transform_input
                <span class="param-doc-description"
                style="position-anchor: --doc-link-transform_input;">
                transform_input: list of str, default=None<br><br>The names of the :term:`metadata` parameters that should be transformed by the<br>pipeline before passing it to the step consuming it.<br><br>This enables transforming some input arguments to ``fit`` (other than ``X``)<br>to be transformed by the steps of the pipeline up to the step which requires<br>them. Requirement is defined via :ref:`metadata routing &lt;metadata_routing&gt;`.<br>For instance, this can be used to pass a validation set through the pipeline.<br><br>You can only set this if metadata routing is enabled, which you<br>can enable using ``sklearn.set_config(enable_metadata_routing=True)``.<br><br>.. versionadded:: 1.6</span>
            </a>
        </td>
                <td class="value">None</td>
            </tr>
    

            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('memory',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-memory;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.pipeline.Pipeline.html#:~:text=memory,-str%20or%20object%20with%20the%20joblib.Memory%20interface%2C%20default%3DNone">
                memory
                <span class="param-doc-description"
                style="position-anchor: --doc-link-memory;">
                memory: str or object with the joblib.Memory interface, default=None<br><br>Used to cache the fitted transformers of the pipeline. The last step<br>will never be cached, even if it is a transformer. By default, no<br>caching is performed. If a string is given, it is the path to the<br>caching directory. Enabling caching triggers a clone of the transformers<br>before fitting. Therefore, the transformer instance given to the<br>pipeline cannot be inspected directly. Use the attribute ``named_steps``<br>or ``steps`` to inspect estimators within the pipeline. Caching the<br>transformers is advantageous when fitting is time consuming. See<br>:ref:`sphx_glr_auto_examples_neighbors_plot_caching_nearest_neighbors.py`<br>for an example on how to enable caching.</span>
            </a>
        </td>
                <td class="value">None</td>
            </tr>
    

            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('verbose',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-verbose;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.pipeline.Pipeline.html#:~:text=verbose,-bool%2C%20default%3DFalse">
                verbose
                <span class="param-doc-description"
                style="position-anchor: --doc-link-verbose;">
                verbose: bool, default=False<br><br>If True, the time elapsed while fitting each step will be printed as it<br>is completed.</span>
            </a>
        </td>
                <td class="value">False</td>
            </tr>
    
                      </tbody>
                    </table>
                </details>
            </div>
    
            <div class="estimator-table">
                <details>
                    <summary>Fitted attributes</summary>
                    <table class="parameters-table">
                        <tbody>
                            <tr>
                            <th>Name</th>
                            <th>Type</th>
                            <th>Value</th>
                            </tr>
                        
           <tr class="default">
               <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-classes_;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.pipeline.Pipeline.html#:~:text=classes_,-ndarray%20of%20shape%20%28n_classes%2C%29">
                classes_
                <span class="param-doc-description"
                style="position-anchor: --doc-link-classes_;">
                classes_: ndarray of shape (n_classes,)<br><br>The classes labels. Only exist if the last step of the pipeline is a<br>classifier.</span>
            </a>
        </td>
               <td class="fitted-att-type">ndarray[int64](2,)</td>
               <td>[0,1]</td>


           </tr>
    

           <tr class="default">
               <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-n_features_in_;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.pipeline.Pipeline.html#:~:text=n_features_in_,-int">
                n_features_in_
                <span class="param-doc-description"
                style="position-anchor: --doc-link-n_features_in_;">
                n_features_in_: int<br><br>Number of features seen during :term:`fit`. Only defined if the<br>underlying first estimator in `steps` exposes such an attribute<br>when fit.<br><br>.. versionadded:: 0.24</span>
            </a>
        </td>
               <td class="fitted-att-type">int</td>
               <td>804</td>


           </tr>
    
                        </tbody>
                    </table>
                </details>
            </div>
        </div></div></div><div class="sk-serial"><div class="sk-item"><div class="sk-estimator fitted sk-toggleable"><input class="sk-toggleable__control sk-hidden--visually sk-global" id="sk-estimator-id-138" type="checkbox" ><label for="sk-estimator-id-138" class="sk-toggleable__label fitted sk-toggleable__label-arrow"><div><div>StandardScaler</div></div><div><a class="sk-estimator-doc-link fitted" rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.preprocessing.StandardScaler.html">?<span>Documentation for StandardScaler</span></a></div></label><div class="sk-toggleable__content fitted" data-param-prefix="standardscaler__">
            <div class="estimator-table">
                <details>
                    <summary>Parameters</summary>
                    <table class="parameters-table">
                      <tbody>
                    
            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('copy',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-copy;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.preprocessing.StandardScaler.html#:~:text=copy,-bool%2C%20default%3DTrue">
                copy
                <span class="param-doc-description"
                style="position-anchor: --doc-link-copy;">
                copy: bool, default=True<br><br>If False, try to avoid a copy and do inplace scaling instead.<br>This is not guaranteed to always work inplace; e.g. if the data is<br>not a NumPy array or scipy.sparse CSR matrix, a copy may still be<br>returned.</span>
            </a>
        </td>
                <td class="value">True</td>
            </tr>
    

            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('with_mean',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-with_mean;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.preprocessing.StandardScaler.html#:~:text=with_mean,-bool%2C%20default%3DTrue">
                with_mean
                <span class="param-doc-description"
                style="position-anchor: --doc-link-with_mean;">
                with_mean: bool, default=True<br><br>If True, center the data before scaling.<br>This does not work (and will raise an exception) when attempted on<br>sparse matrices, because centering them entails building a dense<br>matrix which in common use cases is likely to be too large to fit in<br>memory.</span>
            </a>
        </td>
                <td class="value">True</td>
            </tr>
    

            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('with_std',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-with_std;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.preprocessing.StandardScaler.html#:~:text=with_std,-bool%2C%20default%3DTrue">
                with_std
                <span class="param-doc-description"
                style="position-anchor: --doc-link-with_std;">
                with_std: bool, default=True<br><br>If True, scale the data to unit variance (or equivalently,<br>unit standard deviation).</span>
            </a>
        </td>
                <td class="value">True</td>
            </tr>
    
                      </tbody>
                    </table>
                </details>
            </div>
    
            <div class="estimator-table">
                <details>
                    <summary>Fitted attributes</summary>
                    <table class="parameters-table">
                        <tbody>
                            <tr>
                            <th>Name</th>
                            <th>Type</th>
                            <th>Value</th>
                            </tr>
                        
           <tr class="default">
               <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-mean_;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.preprocessing.StandardScaler.html#:~:text=mean_,-ndarray%20of%20shape%20%28n_features%2C%29%20or%20None">
                mean_
                <span class="param-doc-description"
                style="position-anchor: --doc-link-mean_;">
                mean_: ndarray of shape (n_features,) or None<br><br>The mean value for each feature in the training set.<br>Equal to ``None`` when ``with_mean=False`` and ``with_std=False``.</span>
            </a>
        </td>
               <td class="fitted-att-type">ndarray[float64](804,)</td>
               <td>[ 5.44, 3.13, 2.76,..., 0.08,-0.09, 0.07]</td>


           </tr>
    

           <tr class="default">
               <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-n_features_in_;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.preprocessing.StandardScaler.html#:~:text=n_features_in_,-int">
                n_features_in_
                <span class="param-doc-description"
                style="position-anchor: --doc-link-n_features_in_;">
                n_features_in_: int<br><br>Number of features seen during :term:`fit`.<br><br>.. versionadded:: 0.24</span>
            </a>
        </td>
               <td class="fitted-att-type">int</td>
               <td>804</td>


           </tr>
    

           <tr class="default">
               <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-n_samples_seen_;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.preprocessing.StandardScaler.html#:~:text=n_samples_seen_,-int%20or%20ndarray%20of%20shape%20%28n_features%2C%29">
                n_samples_seen_
                <span class="param-doc-description"
                style="position-anchor: --doc-link-n_samples_seen_;">
                n_samples_seen_: int or ndarray of shape (n_features,)<br><br>The number of samples processed by the estimator for each feature.<br>If there are no missing samples, the ``n_samples_seen`` will be an<br>integer, otherwise it will be an array of dtype int. If<br>`sample_weights` are used it will be a float (if no missing data)<br>or an array of dtype float that sums the weights seen so far.<br>Will be reset on new calls to fit, but increments across<br>``partial_fit`` calls.</span>
            </a>
        </td>
               <td class="fitted-att-type">float64</td>
               <td>50</td>


           </tr>
    

           <tr class="default">
               <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-scale_;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.preprocessing.StandardScaler.html#:~:text=scale_,-ndarray%20of%20shape%20%28n_features%2C%29%20or%20None">
                scale_
                <span class="param-doc-description"
                style="position-anchor: --doc-link-scale_;">
                scale_: ndarray of shape (n_features,) or None<br><br>Per feature relative scaling of the data to achieve zero mean and unit<br>variance. Generally this is calculated using `np.sqrt(var_)`. If a<br>variance is zero, we can&#x27;t achieve unit variance, and the data is left<br>as-is, giving a scaling factor of 1. `scale_` is equal to `None`<br>when `with_std=False`.<br><br>.. versionadded:: 0.17<br>   *scale_*</span>
            </a>
        </td>
               <td class="fitted-att-type">ndarray[float64](804,)</td>
               <td>[0.59,0.51,1.41,...,0.9 ,0.82,0.98]</td>


           </tr>
    

           <tr class="default">
               <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-var_;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.preprocessing.StandardScaler.html#:~:text=var_,-ndarray%20of%20shape%20%28n_features%2C%29%20or%20None">
                var_
                <span class="param-doc-description"
                style="position-anchor: --doc-link-var_;">
                var_: ndarray of shape (n_features,) or None<br><br>The variance for each feature in the training set. Used to compute<br>`scale_`. Equal to ``None`` when ``with_mean=False`` and<br>``with_std=False``.</span>
            </a>
        </td>
               <td class="fitted-att-type">ndarray[float64](804,)</td>
               <td>[0.35,0.26,2.  ,...,0.81,0.68,0.97]</td>


           </tr>
    
                        </tbody>
                    </table>
                </details>
            </div>
        </div></div></div>
            <div class="features fitted">
              <details>
                <summary>
                  <div class="arrow"></div>
                  <div>804 features</div>
                  <div class="image-container" title="Copy all output features">
                    <i class="copy-paste-icon"
                      onclick="
                      event.stopPropagation();
                      event.preventDefault();
                      copyFeatureNamesToClipboard(this);
                      "
                    >
                    </i>
                  </div>
                </summary>
                <div class="features-container">
                    <table class="features-table">
                      <tbody>
                    
            <tr>
              <td>x0</td>
            </tr>

    
            <tr>
              <td>x1</td>
            </tr>

    
            <tr>
              <td>x2</td>
            </tr>

    
            <tr>
              <td>x3</td>
            </tr>

    
            <tr>
              <td>x4</td>
            </tr>

    
            <tr>
              <td>x5</td>
            </tr>

    
            <tr>
              <td>x6</td>
            </tr>

    
            <tr>
              <td>x7</td>
            </tr>

    
            <tr>
              <td>x8</td>
            </tr>

    
            <tr>
              <td>x9</td>
            </tr>

    
            <tr>
              <td>x10</td>
            </tr>

    
            <tr>
              <td>x11</td>
            </tr>

    
            <tr>
              <td>x12</td>
            </tr>

    
            <tr>
              <td>x13</td>
            </tr>

    
            <tr>
              <td>x14</td>
            </tr>

    
            <tr>
              <td>x15</td>
            </tr>

    
            <tr>
              <td>x16</td>
            </tr>

    
            <tr>
              <td>x17</td>
            </tr>

    
            <tr>
              <td>x18</td>
            </tr>

    
            <tr>
              <td>x19</td>
            </tr>

    
            <tr>
              <td>x20</td>
            </tr>

    
            <tr>
              <td>x21</td>
            </tr>

    
            <tr>
              <td>x22</td>
            </tr>

    
            <tr>
              <td>x23</td>
            </tr>

    
            <tr>
              <td>x24</td>
            </tr>

    
            <tr>
              <td>x25</td>
            </tr>

    
            <tr>
              <td>x26</td>
            </tr>

    
            <tr>
              <td>x27</td>
            </tr>

    
            <tr>
              <td>x28</td>
            </tr>

    
            <tr>
              <td>x29</td>
            </tr>

    
            <tr>
              <td>x30</td>
            </tr>

    
            <tr>
              <td>x31</td>
            </tr>

    
            <tr>
              <td>x32</td>
            </tr>

    
            <tr>
              <td>x33</td>
            </tr>

    
            <tr>
              <td>x34</td>
            </tr>

    
            <tr>
              <td>x35</td>
            </tr>

    
            <tr>
              <td>x36</td>
            </tr>

    
            <tr>
              <td>x37</td>
            </tr>

    
            <tr>
              <td>x38</td>
            </tr>

    
            <tr>
              <td>x39</td>
            </tr>

    
            <tr>
              <td>x40</td>
            </tr>

    
            <tr>
              <td>x41</td>
            </tr>

    
            <tr>
              <td>x42</td>
            </tr>

    
            <tr>
              <td>x43</td>
            </tr>

    
            <tr>
              <td>x44</td>
            </tr>

    
            <tr>
              <td>x45</td>
            </tr>

    
            <tr>
              <td>x46</td>
            </tr>

    
            <tr>
              <td>x47</td>
            </tr>

    
            <tr>
              <td>x48</td>
            </tr>

    
            <tr>
              <td>x49</td>
            </tr>

    
            <tr>
              <td>x50</td>
            </tr>

    
            <tr>
              <td>x51</td>
            </tr>

    
            <tr>
              <td>x52</td>
            </tr>

    
            <tr>
              <td>x53</td>
            </tr>

    
            <tr>
              <td>x54</td>
            </tr>

    
            <tr>
              <td>x55</td>
            </tr>

    
            <tr>
              <td>x56</td>
            </tr>

    
            <tr>
              <td>x57</td>
            </tr>

    
            <tr>
              <td>x58</td>
            </tr>

    
            <tr>
              <td>x59</td>
            </tr>

    
            <tr>
              <td>x60</td>
            </tr>

    
            <tr>
              <td>x61</td>
            </tr>

    
            <tr>
              <td>x62</td>
            </tr>

    
            <tr>
              <td>x63</td>
            </tr>

    
            <tr>
              <td>x64</td>
            </tr>

    
            <tr>
              <td>x65</td>
            </tr>

    
            <tr>
              <td>x66</td>
            </tr>

    
            <tr>
              <td>x67</td>
            </tr>

    
            <tr>
              <td>x68</td>
            </tr>

    
            <tr>
              <td>x69</td>
            </tr>

    
            <tr>
              <td>x70</td>
            </tr>

    
            <tr>
              <td>x71</td>
            </tr>

    
            <tr>
              <td>x72</td>
            </tr>

    
            <tr>
              <td>x73</td>
            </tr>

    
            <tr>
              <td>x74</td>
            </tr>

    
            <tr>
              <td>x75</td>
            </tr>

    
            <tr>
              <td>x76</td>
            </tr>

    
            <tr>
              <td>x77</td>
            </tr>

    
            <tr>
              <td>x78</td>
            </tr>

    
            <tr>
              <td>x79</td>
            </tr>

    
            <tr>
              <td>x80</td>
            </tr>

    
            <tr>
              <td>x81</td>
            </tr>

    
            <tr>
              <td>x82</td>
            </tr>

    
            <tr>
              <td>x83</td>
            </tr>

    
            <tr>
              <td>x84</td>
            </tr>

    
            <tr>
              <td>x85</td>
            </tr>

    
            <tr>
              <td>x86</td>
            </tr>

    
            <tr>
              <td>x87</td>
            </tr>

    
            <tr>
              <td>x88</td>
            </tr>

    
            <tr>
              <td>x89</td>
            </tr>

    
            <tr>
              <td>x90</td>
            </tr>

    
            <tr>
              <td>x91</td>
            </tr>

    
            <tr>
              <td>x92</td>
            </tr>

    
            <tr>
              <td>x93</td>
            </tr>

    
            <tr>
              <td>x94</td>
            </tr>

    
            <tr>
              <td>x95</td>
            </tr>

    
            <tr>
              <td>x96</td>
            </tr>

    
            <tr>
              <td>x97</td>
            </tr>

    
            <tr>
              <td>x98</td>
            </tr>

    
            <tr>
              <td>x99</td>
            </tr>

    
            <tr>
              <td>x100</td>
            </tr>

    
            <tr>
              <td>x101</td>
            </tr>

    
            <tr>
              <td>x102</td>
            </tr>

    
            <tr>
              <td>x103</td>
            </tr>

    
            <tr>
              <td>x104</td>
            </tr>

    
            <tr>
              <td>x105</td>
            </tr>

    
            <tr>
              <td>x106</td>
            </tr>

    
            <tr>
              <td>x107</td>
            </tr>

    
            <tr>
              <td>x108</td>
            </tr>

    
            <tr>
              <td>x109</td>
            </tr>

    
            <tr>
              <td>x110</td>
            </tr>

    
            <tr>
              <td>x111</td>
            </tr>

    
            <tr>
              <td>x112</td>
            </tr>

    
            <tr>
              <td>x113</td>
            </tr>

    
            <tr>
              <td>x114</td>
            </tr>

    
            <tr>
              <td>x115</td>
            </tr>

    
            <tr>
              <td>x116</td>
            </tr>

    
            <tr>
              <td>x117</td>
            </tr>

    
            <tr>
              <td>x118</td>
            </tr>

    
            <tr>
              <td>x119</td>
            </tr>

    
            <tr>
              <td>x120</td>
            </tr>

    
            <tr>
              <td>x121</td>
            </tr>

    
            <tr>
              <td>x122</td>
            </tr>

    
            <tr>
              <td>x123</td>
            </tr>

    
            <tr>
              <td>x124</td>
            </tr>

    
            <tr>
              <td>x125</td>
            </tr>

    
            <tr>
              <td>x126</td>
            </tr>

    
            <tr>
              <td>x127</td>
            </tr>

    
            <tr>
              <td>x128</td>
            </tr>

    
            <tr>
              <td>x129</td>
            </tr>

    
            <tr>
              <td>x130</td>
            </tr>

    
            <tr>
              <td>x131</td>
            </tr>

    
            <tr>
              <td>x132</td>
            </tr>

    
            <tr>
              <td>x133</td>
            </tr>

    
            <tr>
              <td>x134</td>
            </tr>

    
            <tr>
              <td>x135</td>
            </tr>

    
            <tr>
              <td>x136</td>
            </tr>

    
            <tr>
              <td>x137</td>
            </tr>

    
            <tr>
              <td>x138</td>
            </tr>

    
            <tr>
              <td>x139</td>
            </tr>

    
            <tr>
              <td>x140</td>
            </tr>

    
            <tr>
              <td>x141</td>
            </tr>

    
            <tr>
              <td>x142</td>
            </tr>

    
            <tr>
              <td>x143</td>
            </tr>

    
            <tr>
              <td>x144</td>
            </tr>

    
            <tr>
              <td>x145</td>
            </tr>

    
            <tr>
              <td>x146</td>
            </tr>

    
            <tr>
              <td>x147</td>
            </tr>

    
            <tr>
              <td>x148</td>
            </tr>

    
            <tr>
              <td>x149</td>
            </tr>

    
            <tr>
              <td>x150</td>
            </tr>

    
            <tr>
              <td>x151</td>
            </tr>

    
            <tr>
              <td>x152</td>
            </tr>

    
            <tr>
              <td>x153</td>
            </tr>

    
            <tr>
              <td>x154</td>
            </tr>

    
            <tr>
              <td>x155</td>
            </tr>

    
            <tr>
              <td>x156</td>
            </tr>

    
            <tr>
              <td>x157</td>
            </tr>

    
            <tr>
              <td>x158</td>
            </tr>

    
            <tr>
              <td>x159</td>
            </tr>

    
            <tr>
              <td>x160</td>
            </tr>

    
            <tr>
              <td>x161</td>
            </tr>

    
            <tr>
              <td>x162</td>
            </tr>

    
            <tr>
              <td>x163</td>
            </tr>

    
            <tr>
              <td>x164</td>
            </tr>

    
            <tr>
              <td>x165</td>
            </tr>

    
            <tr>
              <td>x166</td>
            </tr>

    
            <tr>
              <td>x167</td>
            </tr>

    
            <tr>
              <td>x168</td>
            </tr>

    
            <tr>
              <td>x169</td>
            </tr>

    
            <tr>
              <td>x170</td>
            </tr>

    
            <tr>
              <td>x171</td>
            </tr>

    
            <tr>
              <td>x172</td>
            </tr>

    
            <tr>
              <td>x173</td>
            </tr>

    
            <tr>
              <td>x174</td>
            </tr>

    
            <tr>
              <td>x175</td>
            </tr>

    
            <tr>
              <td>x176</td>
            </tr>

    
            <tr>
              <td>x177</td>
            </tr>

    
            <tr>
              <td>x178</td>
            </tr>

    
            <tr>
              <td>x179</td>
            </tr>

    
            <tr>
              <td>x180</td>
            </tr>

    
            <tr>
              <td>x181</td>
            </tr>

    
            <tr>
              <td>x182</td>
            </tr>

    
            <tr>
              <td>x183</td>
            </tr>

    
            <tr>
              <td>x184</td>
            </tr>

    
            <tr>
              <td>x185</td>
            </tr>

    
            <tr>
              <td>x186</td>
            </tr>

    
            <tr>
              <td>x187</td>
            </tr>

    
            <tr>
              <td>x188</td>
            </tr>

    
            <tr>
              <td>x189</td>
            </tr>

    
            <tr>
              <td>x190</td>
            </tr>

    
            <tr>
              <td>x191</td>
            </tr>

    
            <tr>
              <td>x192</td>
            </tr>

    
            <tr>
              <td>x193</td>
            </tr>

    
            <tr>
              <td>x194</td>
            </tr>

    
            <tr>
              <td>x195</td>
            </tr>

    
            <tr>
              <td>x196</td>
            </tr>

    
            <tr>
              <td>x197</td>
            </tr>

    
            <tr>
              <td>x198</td>
            </tr>

    
            <tr>
              <td>x199</td>
            </tr>

    
            <tr>
              <td>x200</td>
            </tr>

    
            <tr>
              <td>x201</td>
            </tr>

    
            <tr>
              <td>x202</td>
            </tr>

    
            <tr>
              <td>x203</td>
            </tr>

    
            <tr>
              <td>x204</td>
            </tr>

    
            <tr>
              <td>x205</td>
            </tr>

    
            <tr>
              <td>x206</td>
            </tr>

    
            <tr>
              <td>x207</td>
            </tr>

    
            <tr>
              <td>x208</td>
            </tr>

    
            <tr>
              <td>x209</td>
            </tr>

    
            <tr>
              <td>x210</td>
            </tr>

    
            <tr>
              <td>x211</td>
            </tr>

    
            <tr>
              <td>x212</td>
            </tr>

    
            <tr>
              <td>x213</td>
            </tr>

    
            <tr>
              <td>x214</td>
            </tr>

    
            <tr>
              <td>x215</td>
            </tr>

    
            <tr>
              <td>x216</td>
            </tr>

    
            <tr>
              <td>x217</td>
            </tr>

    
            <tr>
              <td>x218</td>
            </tr>

    
            <tr>
              <td>x219</td>
            </tr>

    
            <tr>
              <td>x220</td>
            </tr>

    
            <tr>
              <td>x221</td>
            </tr>

    
            <tr>
              <td>x222</td>
            </tr>

    
            <tr>
              <td>x223</td>
            </tr>

    
            <tr>
              <td>x224</td>
            </tr>

    
            <tr>
              <td>x225</td>
            </tr>

    
            <tr>
              <td>x226</td>
            </tr>

    
            <tr>
              <td>x227</td>
            </tr>

    
            <tr>
              <td>x228</td>
            </tr>

    
            <tr>
              <td>x229</td>
            </tr>

    
            <tr>
              <td>x230</td>
            </tr>

    
            <tr>
              <td>x231</td>
            </tr>

    
            <tr>
              <td>x232</td>
            </tr>

    
            <tr>
              <td>x233</td>
            </tr>

    
            <tr>
              <td>x234</td>
            </tr>

    
            <tr>
              <td>x235</td>
            </tr>

    
            <tr>
              <td>x236</td>
            </tr>

    
            <tr>
              <td>x237</td>
            </tr>

    
            <tr>
              <td>x238</td>
            </tr>

    
            <tr>
              <td>x239</td>
            </tr>

    
            <tr>
              <td>x240</td>
            </tr>

    
            <tr>
              <td>x241</td>
            </tr>

    
            <tr>
              <td>x242</td>
            </tr>

    
            <tr>
              <td>x243</td>
            </tr>

    
            <tr>
              <td>x244</td>
            </tr>

    
            <tr>
              <td>x245</td>
            </tr>

    
            <tr>
              <td>x246</td>
            </tr>

    
            <tr>
              <td>x247</td>
            </tr>

    
            <tr>
              <td>x248</td>
            </tr>

    
            <tr>
              <td>x249</td>
            </tr>

    
            <tr>
              <td>x250</td>
            </tr>

    
            <tr>
              <td>x251</td>
            </tr>

    
            <tr>
              <td>x252</td>
            </tr>

    
            <tr>
              <td>x253</td>
            </tr>

    
            <tr>
              <td>x254</td>
            </tr>

    
            <tr>
              <td>x255</td>
            </tr>

    
            <tr>
              <td>x256</td>
            </tr>

    
            <tr>
              <td>x257</td>
            </tr>

    
            <tr>
              <td>x258</td>
            </tr>

    
            <tr>
              <td>x259</td>
            </tr>

    
            <tr>
              <td>x260</td>
            </tr>

    
            <tr>
              <td>x261</td>
            </tr>

    
            <tr>
              <td>x262</td>
            </tr>

    
            <tr>
              <td>x263</td>
            </tr>

    
            <tr>
              <td>x264</td>
            </tr>

    
            <tr>
              <td>x265</td>
            </tr>

    
            <tr>
              <td>x266</td>
            </tr>

    
            <tr>
              <td>x267</td>
            </tr>

    
            <tr>
              <td>x268</td>
            </tr>

    
            <tr>
              <td>x269</td>
            </tr>

    
            <tr>
              <td>x270</td>
            </tr>

    
            <tr>
              <td>x271</td>
            </tr>

    
            <tr>
              <td>x272</td>
            </tr>

    
            <tr>
              <td>x273</td>
            </tr>

    
            <tr>
              <td>x274</td>
            </tr>

    
            <tr>
              <td>x275</td>
            </tr>

    
            <tr>
              <td>x276</td>
            </tr>

    
            <tr>
              <td>x277</td>
            </tr>

    
            <tr>
              <td>x278</td>
            </tr>

    
            <tr>
              <td>x279</td>
            </tr>

    
            <tr>
              <td>x280</td>
            </tr>

    
            <tr>
              <td>x281</td>
            </tr>

    
            <tr>
              <td>x282</td>
            </tr>

    
            <tr>
              <td>x283</td>
            </tr>

    
            <tr>
              <td>x284</td>
            </tr>

    
            <tr>
              <td>x285</td>
            </tr>

    
            <tr>
              <td>x286</td>
            </tr>

    
            <tr>
              <td>x287</td>
            </tr>

    
            <tr>
              <td>x288</td>
            </tr>

    
            <tr>
              <td>x289</td>
            </tr>

    
            <tr>
              <td>x290</td>
            </tr>

    
            <tr>
              <td>x291</td>
            </tr>

    
            <tr>
              <td>x292</td>
            </tr>

    
            <tr>
              <td>x293</td>
            </tr>

    
            <tr>
              <td>x294</td>
            </tr>

    
            <tr>
              <td>x295</td>
            </tr>

    
            <tr>
              <td>x296</td>
            </tr>

    
            <tr>
              <td>x297</td>
            </tr>

    
            <tr>
              <td>x298</td>
            </tr>

    
            <tr>
              <td>x299</td>
            </tr>

    
            <tr>
              <td>x300</td>
            </tr>

    
            <tr>
              <td>x301</td>
            </tr>

    
            <tr>
              <td>x302</td>
            </tr>

    
            <tr>
              <td>x303</td>
            </tr>

    
            <tr>
              <td>x304</td>
            </tr>

    
            <tr>
              <td>x305</td>
            </tr>

    
            <tr>
              <td>x306</td>
            </tr>

    
            <tr>
              <td>x307</td>
            </tr>

    
            <tr>
              <td>x308</td>
            </tr>

    
            <tr>
              <td>x309</td>
            </tr>

    
            <tr>
              <td>x310</td>
            </tr>

    
            <tr>
              <td>x311</td>
            </tr>

    
            <tr>
              <td>x312</td>
            </tr>

    
            <tr>
              <td>x313</td>
            </tr>

    
            <tr>
              <td>x314</td>
            </tr>

    
            <tr>
              <td>x315</td>
            </tr>

    
            <tr>
              <td>x316</td>
            </tr>

    
            <tr>
              <td>x317</td>
            </tr>

    
            <tr>
              <td>x318</td>
            </tr>

    
            <tr>
              <td>x319</td>
            </tr>

    
            <tr>
              <td>x320</td>
            </tr>

    
            <tr>
              <td>x321</td>
            </tr>

    
            <tr>
              <td>x322</td>
            </tr>

    
            <tr>
              <td>x323</td>
            </tr>

    
            <tr>
              <td>x324</td>
            </tr>

    
            <tr>
              <td>x325</td>
            </tr>

    
            <tr>
              <td>x326</td>
            </tr>

    
            <tr>
              <td>x327</td>
            </tr>

    
            <tr>
              <td>x328</td>
            </tr>

    
            <tr>
              <td>x329</td>
            </tr>

    
            <tr>
              <td>x330</td>
            </tr>

    
            <tr>
              <td>x331</td>
            </tr>

    
            <tr>
              <td>x332</td>
            </tr>

    
            <tr>
              <td>x333</td>
            </tr>

    
            <tr>
              <td>x334</td>
            </tr>

    
            <tr>
              <td>x335</td>
            </tr>

    
            <tr>
              <td>x336</td>
            </tr>

    
            <tr>
              <td>x337</td>
            </tr>

    
            <tr>
              <td>x338</td>
            </tr>

    
            <tr>
              <td>x339</td>
            </tr>

    
            <tr>
              <td>x340</td>
            </tr>

    
            <tr>
              <td>x341</td>
            </tr>

    
            <tr>
              <td>x342</td>
            </tr>

    
            <tr>
              <td>x343</td>
            </tr>

    
            <tr>
              <td>x344</td>
            </tr>

    
            <tr>
              <td>x345</td>
            </tr>

    
            <tr>
              <td>x346</td>
            </tr>

    
            <tr>
              <td>x347</td>
            </tr>

    
            <tr>
              <td>x348</td>
            </tr>

    
            <tr>
              <td>x349</td>
            </tr>

    
            <tr>
              <td>x350</td>
            </tr>

    
            <tr>
              <td>x351</td>
            </tr>

    
            <tr>
              <td>x352</td>
            </tr>

    
            <tr>
              <td>x353</td>
            </tr>

    
            <tr>
              <td>x354</td>
            </tr>

    
            <tr>
              <td>x355</td>
            </tr>

    
            <tr>
              <td>x356</td>
            </tr>

    
            <tr>
              <td>x357</td>
            </tr>

    
            <tr>
              <td>x358</td>
            </tr>

    
            <tr>
              <td>x359</td>
            </tr>

    
            <tr>
              <td>x360</td>
            </tr>

    
            <tr>
              <td>x361</td>
            </tr>

    
            <tr>
              <td>x362</td>
            </tr>

    
            <tr>
              <td>x363</td>
            </tr>

    
            <tr>
              <td>x364</td>
            </tr>

    
            <tr>
              <td>x365</td>
            </tr>

    
            <tr>
              <td>x366</td>
            </tr>

    
            <tr>
              <td>x367</td>
            </tr>

    
            <tr>
              <td>x368</td>
            </tr>

    
            <tr>
              <td>x369</td>
            </tr>

    
            <tr>
              <td>x370</td>
            </tr>

    
            <tr>
              <td>x371</td>
            </tr>

    
            <tr>
              <td>x372</td>
            </tr>

    
            <tr>
              <td>x373</td>
            </tr>

    
            <tr>
              <td>x374</td>
            </tr>

    
            <tr>
              <td>x375</td>
            </tr>

    
            <tr>
              <td>x376</td>
            </tr>

    
            <tr>
              <td>x377</td>
            </tr>

    
            <tr>
              <td>x378</td>
            </tr>

    
            <tr>
              <td>x379</td>
            </tr>

    
            <tr>
              <td>x380</td>
            </tr>

    
            <tr>
              <td>x381</td>
            </tr>

    
            <tr>
              <td>x382</td>
            </tr>

    
            <tr>
              <td>x383</td>
            </tr>

    
            <tr>
              <td>x384</td>
            </tr>

    
            <tr>
              <td>x385</td>
            </tr>

    
            <tr>
              <td>x386</td>
            </tr>

    
            <tr>
              <td>x387</td>
            </tr>

    
            <tr>
              <td>x388</td>
            </tr>

    
            <tr>
              <td>x389</td>
            </tr>

    
            <tr>
              <td>x390</td>
            </tr>

    
            <tr>
              <td>x391</td>
            </tr>

    
            <tr>
              <td>x392</td>
            </tr>

    
            <tr>
              <td>x393</td>
            </tr>

    
            <tr>
              <td>x394</td>
            </tr>

    
            <tr>
              <td>x395</td>
            </tr>

    
            <tr>
              <td>x396</td>
            </tr>

    
            <tr>
              <td>x397</td>
            </tr>

    
            <tr>
              <td>x398</td>
            </tr>

    
            <tr>
              <td>x399</td>
            </tr>

    
            <tr>
              <td>x400</td>
            </tr>

    
            <tr>
              <td>x401</td>
            </tr>

    
            <tr>
              <td>x402</td>
            </tr>

    
            <tr>
              <td>x403</td>
            </tr>

    
            <tr>
              <td>x404</td>
            </tr>

    
            <tr>
              <td>x405</td>
            </tr>

    
            <tr>
              <td>x406</td>
            </tr>

    
            <tr>
              <td>x407</td>
            </tr>

    
            <tr>
              <td>x408</td>
            </tr>

    
            <tr>
              <td>x409</td>
            </tr>

    
            <tr>
              <td>x410</td>
            </tr>

    
            <tr>
              <td>x411</td>
            </tr>

    
            <tr>
              <td>x412</td>
            </tr>

    
            <tr>
              <td>x413</td>
            </tr>

    
            <tr>
              <td>x414</td>
            </tr>

    
            <tr>
              <td>x415</td>
            </tr>

    
            <tr>
              <td>x416</td>
            </tr>

    
            <tr>
              <td>x417</td>
            </tr>

    
            <tr>
              <td>x418</td>
            </tr>

    
            <tr>
              <td>x419</td>
            </tr>

    
            <tr>
              <td>x420</td>
            </tr>

    
            <tr>
              <td>x421</td>
            </tr>

    
            <tr>
              <td>x422</td>
            </tr>

    
            <tr>
              <td>x423</td>
            </tr>

    
            <tr>
              <td>x424</td>
            </tr>

    
            <tr>
              <td>x425</td>
            </tr>

    
            <tr>
              <td>x426</td>
            </tr>

    
            <tr>
              <td>x427</td>
            </tr>

    
            <tr>
              <td>x428</td>
            </tr>

    
            <tr>
              <td>x429</td>
            </tr>

    
            <tr>
              <td>x430</td>
            </tr>

    
            <tr>
              <td>x431</td>
            </tr>

    
            <tr>
              <td>x432</td>
            </tr>

    
            <tr>
              <td>x433</td>
            </tr>

    
            <tr>
              <td>x434</td>
            </tr>

    
            <tr>
              <td>x435</td>
            </tr>

    
            <tr>
              <td>x436</td>
            </tr>

    
            <tr>
              <td>x437</td>
            </tr>

    
            <tr>
              <td>x438</td>
            </tr>

    
            <tr>
              <td>x439</td>
            </tr>

    
            <tr>
              <td>x440</td>
            </tr>

    
            <tr>
              <td>x441</td>
            </tr>

    
            <tr>
              <td>x442</td>
            </tr>

    
            <tr>
              <td>x443</td>
            </tr>

    
            <tr>
              <td>x444</td>
            </tr>

    
            <tr>
              <td>x445</td>
            </tr>

    
            <tr>
              <td>x446</td>
            </tr>

    
            <tr>
              <td>x447</td>
            </tr>

    
            <tr>
              <td>x448</td>
            </tr>

    
            <tr>
              <td>x449</td>
            </tr>

    
            <tr>
              <td>x450</td>
            </tr>

    
            <tr>
              <td>x451</td>
            </tr>

    
            <tr>
              <td>x452</td>
            </tr>

    
            <tr>
              <td>x453</td>
            </tr>

    
            <tr>
              <td>x454</td>
            </tr>

    
            <tr>
              <td>x455</td>
            </tr>

    
            <tr>
              <td>x456</td>
            </tr>

    
            <tr>
              <td>x457</td>
            </tr>

    
            <tr>
              <td>x458</td>
            </tr>

    
            <tr>
              <td>x459</td>
            </tr>

    
            <tr>
              <td>x460</td>
            </tr>

    
            <tr>
              <td>x461</td>
            </tr>

    
            <tr>
              <td>x462</td>
            </tr>

    
            <tr>
              <td>x463</td>
            </tr>

    
            <tr>
              <td>x464</td>
            </tr>

    
            <tr>
              <td>x465</td>
            </tr>

    
            <tr>
              <td>x466</td>
            </tr>

    
            <tr>
              <td>x467</td>
            </tr>

    
            <tr>
              <td>x468</td>
            </tr>

    
            <tr>
              <td>x469</td>
            </tr>

    
            <tr>
              <td>x470</td>
            </tr>

    
            <tr>
              <td>x471</td>
            </tr>

    
            <tr>
              <td>x472</td>
            </tr>

    
            <tr>
              <td>x473</td>
            </tr>

    
            <tr>
              <td>x474</td>
            </tr>

    
            <tr>
              <td>x475</td>
            </tr>

    
            <tr>
              <td>x476</td>
            </tr>

    
            <tr>
              <td>x477</td>
            </tr>

    
            <tr>
              <td>x478</td>
            </tr>

    
            <tr>
              <td>x479</td>
            </tr>

    
            <tr>
              <td>x480</td>
            </tr>

    
            <tr>
              <td>x481</td>
            </tr>

    
            <tr>
              <td>x482</td>
            </tr>

    
            <tr>
              <td>x483</td>
            </tr>

    
            <tr>
              <td>x484</td>
            </tr>

    
            <tr>
              <td>x485</td>
            </tr>

    
            <tr>
              <td>x486</td>
            </tr>

    
            <tr>
              <td>x487</td>
            </tr>

    
            <tr>
              <td>x488</td>
            </tr>

    
            <tr>
              <td>x489</td>
            </tr>

    
            <tr>
              <td>x490</td>
            </tr>

    
            <tr>
              <td>x491</td>
            </tr>

    
            <tr>
              <td>x492</td>
            </tr>

    
            <tr>
              <td>x493</td>
            </tr>

    
            <tr>
              <td>x494</td>
            </tr>

    
            <tr>
              <td>x495</td>
            </tr>

    
            <tr>
              <td>x496</td>
            </tr>

    
            <tr>
              <td>x497</td>
            </tr>

    
            <tr>
              <td>x498</td>
            </tr>

    
            <tr>
              <td>x499</td>
            </tr>

    
            <tr>
              <td>x500</td>
            </tr>

    
            <tr>
              <td>x501</td>
            </tr>

    
            <tr>
              <td>x502</td>
            </tr>

    
            <tr>
              <td>x503</td>
            </tr>

    
            <tr>
              <td>x504</td>
            </tr>

    
            <tr>
              <td>x505</td>
            </tr>

    
            <tr>
              <td>x506</td>
            </tr>

    
            <tr>
              <td>x507</td>
            </tr>

    
            <tr>
              <td>x508</td>
            </tr>

    
            <tr>
              <td>x509</td>
            </tr>

    
            <tr>
              <td>x510</td>
            </tr>

    
            <tr>
              <td>x511</td>
            </tr>

    
            <tr>
              <td>x512</td>
            </tr>

    
            <tr>
              <td>x513</td>
            </tr>

    
            <tr>
              <td>x514</td>
            </tr>

    
            <tr>
              <td>x515</td>
            </tr>

    
            <tr>
              <td>x516</td>
            </tr>

    
            <tr>
              <td>x517</td>
            </tr>

    
            <tr>
              <td>x518</td>
            </tr>

    
            <tr>
              <td>x519</td>
            </tr>

    
            <tr>
              <td>x520</td>
            </tr>

    
            <tr>
              <td>x521</td>
            </tr>

    
            <tr>
              <td>x522</td>
            </tr>

    
            <tr>
              <td>x523</td>
            </tr>

    
            <tr>
              <td>x524</td>
            </tr>

    
            <tr>
              <td>x525</td>
            </tr>

    
            <tr>
              <td>x526</td>
            </tr>

    
            <tr>
              <td>x527</td>
            </tr>

    
            <tr>
              <td>x528</td>
            </tr>

    
            <tr>
              <td>x529</td>
            </tr>

    
            <tr>
              <td>x530</td>
            </tr>

    
            <tr>
              <td>x531</td>
            </tr>

    
            <tr>
              <td>x532</td>
            </tr>

    
            <tr>
              <td>x533</td>
            </tr>

    
            <tr>
              <td>x534</td>
            </tr>

    
            <tr>
              <td>x535</td>
            </tr>

    
            <tr>
              <td>x536</td>
            </tr>

    
            <tr>
              <td>x537</td>
            </tr>

    
            <tr>
              <td>x538</td>
            </tr>

    
            <tr>
              <td>x539</td>
            </tr>

    
            <tr>
              <td>x540</td>
            </tr>

    
            <tr>
              <td>x541</td>
            </tr>

    
            <tr>
              <td>x542</td>
            </tr>

    
            <tr>
              <td>x543</td>
            </tr>

    
            <tr>
              <td>x544</td>
            </tr>

    
            <tr>
              <td>x545</td>
            </tr>

    
            <tr>
              <td>x546</td>
            </tr>

    
            <tr>
              <td>x547</td>
            </tr>

    
            <tr>
              <td>x548</td>
            </tr>

    
            <tr>
              <td>x549</td>
            </tr>

    
            <tr>
              <td>x550</td>
            </tr>

    
            <tr>
              <td>x551</td>
            </tr>

    
            <tr>
              <td>x552</td>
            </tr>

    
            <tr>
              <td>x553</td>
            </tr>

    
            <tr>
              <td>x554</td>
            </tr>

    
            <tr>
              <td>x555</td>
            </tr>

    
            <tr>
              <td>x556</td>
            </tr>

    
            <tr>
              <td>x557</td>
            </tr>

    
            <tr>
              <td>x558</td>
            </tr>

    
            <tr>
              <td>x559</td>
            </tr>

    
            <tr>
              <td>x560</td>
            </tr>

    
            <tr>
              <td>x561</td>
            </tr>

    
            <tr>
              <td>x562</td>
            </tr>

    
            <tr>
              <td>x563</td>
            </tr>

    
            <tr>
              <td>x564</td>
            </tr>

    
            <tr>
              <td>x565</td>
            </tr>

    
            <tr>
              <td>x566</td>
            </tr>

    
            <tr>
              <td>x567</td>
            </tr>

    
            <tr>
              <td>x568</td>
            </tr>

    
            <tr>
              <td>x569</td>
            </tr>

    
            <tr>
              <td>x570</td>
            </tr>

    
            <tr>
              <td>x571</td>
            </tr>

    
            <tr>
              <td>x572</td>
            </tr>

    
            <tr>
              <td>x573</td>
            </tr>

    
            <tr>
              <td>x574</td>
            </tr>

    
            <tr>
              <td>x575</td>
            </tr>

    
            <tr>
              <td>x576</td>
            </tr>

    
            <tr>
              <td>x577</td>
            </tr>

    
            <tr>
              <td>x578</td>
            </tr>

    
            <tr>
              <td>x579</td>
            </tr>

    
            <tr>
              <td>x580</td>
            </tr>

    
            <tr>
              <td>x581</td>
            </tr>

    
            <tr>
              <td>x582</td>
            </tr>

    
            <tr>
              <td>x583</td>
            </tr>

    
            <tr>
              <td>x584</td>
            </tr>

    
            <tr>
              <td>x585</td>
            </tr>

    
            <tr>
              <td>x586</td>
            </tr>

    
            <tr>
              <td>x587</td>
            </tr>

    
            <tr>
              <td>x588</td>
            </tr>

    
            <tr>
              <td>x589</td>
            </tr>

    
            <tr>
              <td>x590</td>
            </tr>

    
            <tr>
              <td>x591</td>
            </tr>

    
            <tr>
              <td>x592</td>
            </tr>

    
            <tr>
              <td>x593</td>
            </tr>

    
            <tr>
              <td>x594</td>
            </tr>

    
            <tr>
              <td>x595</td>
            </tr>

    
            <tr>
              <td>x596</td>
            </tr>

    
            <tr>
              <td>x597</td>
            </tr>

    
            <tr>
              <td>x598</td>
            </tr>

    
            <tr>
              <td>x599</td>
            </tr>

    
            <tr>
              <td>x600</td>
            </tr>

    
            <tr>
              <td>x601</td>
            </tr>

    
            <tr>
              <td>x602</td>
            </tr>

    
            <tr>
              <td>x603</td>
            </tr>

    
            <tr>
              <td>x604</td>
            </tr>

    
            <tr>
              <td>x605</td>
            </tr>

    
            <tr>
              <td>x606</td>
            </tr>

    
            <tr>
              <td>x607</td>
            </tr>

    
            <tr>
              <td>x608</td>
            </tr>

    
            <tr>
              <td>x609</td>
            </tr>

    
            <tr>
              <td>x610</td>
            </tr>

    
            <tr>
              <td>x611</td>
            </tr>

    
            <tr>
              <td>x612</td>
            </tr>

    
            <tr>
              <td>x613</td>
            </tr>

    
            <tr>
              <td>x614</td>
            </tr>

    
            <tr>
              <td>x615</td>
            </tr>

    
            <tr>
              <td>x616</td>
            </tr>

    
            <tr>
              <td>x617</td>
            </tr>

    
            <tr>
              <td>x618</td>
            </tr>

    
            <tr>
              <td>x619</td>
            </tr>

    
            <tr>
              <td>x620</td>
            </tr>

    
            <tr>
              <td>x621</td>
            </tr>

    
            <tr>
              <td>x622</td>
            </tr>

    
            <tr>
              <td>x623</td>
            </tr>

    
            <tr>
              <td>x624</td>
            </tr>

    
            <tr>
              <td>x625</td>
            </tr>

    
            <tr>
              <td>x626</td>
            </tr>

    
            <tr>
              <td>x627</td>
            </tr>

    
            <tr>
              <td>x628</td>
            </tr>

    
            <tr>
              <td>x629</td>
            </tr>

    
            <tr>
              <td>x630</td>
            </tr>

    
            <tr>
              <td>x631</td>
            </tr>

    
            <tr>
              <td>x632</td>
            </tr>

    
            <tr>
              <td>x633</td>
            </tr>

    
            <tr>
              <td>x634</td>
            </tr>

    
            <tr>
              <td>x635</td>
            </tr>

    
            <tr>
              <td>x636</td>
            </tr>

    
            <tr>
              <td>x637</td>
            </tr>

    
            <tr>
              <td>x638</td>
            </tr>

    
            <tr>
              <td>x639</td>
            </tr>

    
            <tr>
              <td>x640</td>
            </tr>

    
            <tr>
              <td>x641</td>
            </tr>

    
            <tr>
              <td>x642</td>
            </tr>

    
            <tr>
              <td>x643</td>
            </tr>

    
            <tr>
              <td>x644</td>
            </tr>

    
            <tr>
              <td>x645</td>
            </tr>

    
            <tr>
              <td>x646</td>
            </tr>

    
            <tr>
              <td>x647</td>
            </tr>

    
            <tr>
              <td>x648</td>
            </tr>

    
            <tr>
              <td>x649</td>
            </tr>

    
            <tr>
              <td>x650</td>
            </tr>

    
            <tr>
              <td>x651</td>
            </tr>

    
            <tr>
              <td>x652</td>
            </tr>

    
            <tr>
              <td>x653</td>
            </tr>

    
            <tr>
              <td>x654</td>
            </tr>

    
            <tr>
              <td>x655</td>
            </tr>

    
            <tr>
              <td>x656</td>
            </tr>

    
            <tr>
              <td>x657</td>
            </tr>

    
            <tr>
              <td>x658</td>
            </tr>

    
            <tr>
              <td>x659</td>
            </tr>

    
            <tr>
              <td>x660</td>
            </tr>

    
            <tr>
              <td>x661</td>
            </tr>

    
            <tr>
              <td>x662</td>
            </tr>

    
            <tr>
              <td>x663</td>
            </tr>

    
            <tr>
              <td>x664</td>
            </tr>

    
            <tr>
              <td>x665</td>
            </tr>

    
            <tr>
              <td>x666</td>
            </tr>

    
            <tr>
              <td>x667</td>
            </tr>

    
            <tr>
              <td>x668</td>
            </tr>

    
            <tr>
              <td>x669</td>
            </tr>

    
            <tr>
              <td>x670</td>
            </tr>

    
            <tr>
              <td>x671</td>
            </tr>

    
            <tr>
              <td>x672</td>
            </tr>

    
            <tr>
              <td>x673</td>
            </tr>

    
            <tr>
              <td>x674</td>
            </tr>

    
            <tr>
              <td>x675</td>
            </tr>

    
            <tr>
              <td>x676</td>
            </tr>

    
            <tr>
              <td>x677</td>
            </tr>

    
            <tr>
              <td>x678</td>
            </tr>

    
            <tr>
              <td>x679</td>
            </tr>

    
            <tr>
              <td>x680</td>
            </tr>

    
            <tr>
              <td>x681</td>
            </tr>

    
            <tr>
              <td>x682</td>
            </tr>

    
            <tr>
              <td>x683</td>
            </tr>

    
            <tr>
              <td>x684</td>
            </tr>

    
            <tr>
              <td>x685</td>
            </tr>

    
            <tr>
              <td>x686</td>
            </tr>

    
            <tr>
              <td>x687</td>
            </tr>

    
            <tr>
              <td>x688</td>
            </tr>

    
            <tr>
              <td>x689</td>
            </tr>

    
            <tr>
              <td>x690</td>
            </tr>

    
            <tr>
              <td>x691</td>
            </tr>

    
            <tr>
              <td>x692</td>
            </tr>

    
            <tr>
              <td>x693</td>
            </tr>

    
            <tr>
              <td>x694</td>
            </tr>

    
            <tr>
              <td>x695</td>
            </tr>

    
            <tr>
              <td>x696</td>
            </tr>

    
            <tr>
              <td>x697</td>
            </tr>

    
            <tr>
              <td>x698</td>
            </tr>

    
            <tr>
              <td>x699</td>
            </tr>

    
            <tr>
              <td>x700</td>
            </tr>

    
            <tr>
              <td>x701</td>
            </tr>

    
            <tr>
              <td>x702</td>
            </tr>

    
            <tr>
              <td>x703</td>
            </tr>

    
            <tr>
              <td>x704</td>
            </tr>

    
            <tr>
              <td>x705</td>
            </tr>

    
            <tr>
              <td>x706</td>
            </tr>

    
            <tr>
              <td>x707</td>
            </tr>

    
            <tr>
              <td>x708</td>
            </tr>

    
            <tr>
              <td>x709</td>
            </tr>

    
            <tr>
              <td>x710</td>
            </tr>

    
            <tr>
              <td>x711</td>
            </tr>

    
            <tr>
              <td>x712</td>
            </tr>

    
            <tr>
              <td>x713</td>
            </tr>

    
            <tr>
              <td>x714</td>
            </tr>

    
            <tr>
              <td>x715</td>
            </tr>

    
            <tr>
              <td>x716</td>
            </tr>

    
            <tr>
              <td>x717</td>
            </tr>

    
            <tr>
              <td>x718</td>
            </tr>

    
            <tr>
              <td>x719</td>
            </tr>

    
            <tr>
              <td>x720</td>
            </tr>

    
            <tr>
              <td>x721</td>
            </tr>

    
            <tr>
              <td>x722</td>
            </tr>

    
            <tr>
              <td>x723</td>
            </tr>

    
            <tr>
              <td>x724</td>
            </tr>

    
            <tr>
              <td>x725</td>
            </tr>

    
            <tr>
              <td>x726</td>
            </tr>

    
            <tr>
              <td>x727</td>
            </tr>

    
            <tr>
              <td>x728</td>
            </tr>

    
            <tr>
              <td>x729</td>
            </tr>

    
            <tr>
              <td>x730</td>
            </tr>

    
            <tr>
              <td>x731</td>
            </tr>

    
            <tr>
              <td>x732</td>
            </tr>

    
            <tr>
              <td>x733</td>
            </tr>

    
            <tr>
              <td>x734</td>
            </tr>

    
            <tr>
              <td>x735</td>
            </tr>

    
            <tr>
              <td>x736</td>
            </tr>

    
            <tr>
              <td>x737</td>
            </tr>

    
            <tr>
              <td>x738</td>
            </tr>

    
            <tr>
              <td>x739</td>
            </tr>

    
            <tr>
              <td>x740</td>
            </tr>

    
            <tr>
              <td>x741</td>
            </tr>

    
            <tr>
              <td>x742</td>
            </tr>

    
            <tr>
              <td>x743</td>
            </tr>

    
            <tr>
              <td>x744</td>
            </tr>

    
            <tr>
              <td>x745</td>
            </tr>

    
            <tr>
              <td>x746</td>
            </tr>

    
            <tr>
              <td>x747</td>
            </tr>

    
            <tr>
              <td>x748</td>
            </tr>

    
            <tr>
              <td>x749</td>
            </tr>

    
            <tr>
              <td>x750</td>
            </tr>

    
            <tr>
              <td>x751</td>
            </tr>

    
            <tr>
              <td>x752</td>
            </tr>

    
            <tr>
              <td>x753</td>
            </tr>

    
            <tr>
              <td>x754</td>
            </tr>

    
            <tr>
              <td>x755</td>
            </tr>

    
            <tr>
              <td>x756</td>
            </tr>

    
            <tr>
              <td>x757</td>
            </tr>

    
            <tr>
              <td>x758</td>
            </tr>

    
            <tr>
              <td>x759</td>
            </tr>

    
            <tr>
              <td>x760</td>
            </tr>

    
            <tr>
              <td>x761</td>
            </tr>

    
            <tr>
              <td>x762</td>
            </tr>

    
            <tr>
              <td>x763</td>
            </tr>

    
            <tr>
              <td>x764</td>
            </tr>

    
            <tr>
              <td>x765</td>
            </tr>

    
            <tr>
              <td>x766</td>
            </tr>

    
            <tr>
              <td>x767</td>
            </tr>

    
            <tr>
              <td>x768</td>
            </tr>

    
            <tr>
              <td>x769</td>
            </tr>

    
            <tr>
              <td>x770</td>
            </tr>

    
            <tr>
              <td>x771</td>
            </tr>

    
            <tr>
              <td>x772</td>
            </tr>

    
            <tr>
              <td>x773</td>
            </tr>

    
            <tr>
              <td>x774</td>
            </tr>

    
            <tr>
              <td>x775</td>
            </tr>

    
            <tr>
              <td>x776</td>
            </tr>

    
            <tr>
              <td>x777</td>
            </tr>

    
            <tr>
              <td>x778</td>
            </tr>

    
            <tr>
              <td>x779</td>
            </tr>

    
            <tr>
              <td>x780</td>
            </tr>

    
            <tr>
              <td>x781</td>
            </tr>

    
            <tr>
              <td>x782</td>
            </tr>

    
            <tr>
              <td>x783</td>
            </tr>

    
            <tr>
              <td>x784</td>
            </tr>

    
            <tr>
              <td>x785</td>
            </tr>

    
            <tr>
              <td>x786</td>
            </tr>

    
            <tr>
              <td>x787</td>
            </tr>

    
            <tr>
              <td>x788</td>
            </tr>

    
            <tr>
              <td>x789</td>
            </tr>

    
            <tr>
              <td>x790</td>
            </tr>

    
            <tr>
              <td>x791</td>
            </tr>

    
            <tr>
              <td>x792</td>
            </tr>

    
            <tr>
              <td>x793</td>
            </tr>

    
            <tr>
              <td>x794</td>
            </tr>

    
            <tr>
              <td>x795</td>
            </tr>

    
            <tr>
              <td>x796</td>
            </tr>

    
            <tr>
              <td>x797</td>
            </tr>

    
            <tr>
              <td>x798</td>
            </tr>

    
            <tr>
              <td>x799</td>
            </tr>

    
            <tr>
              <td>x800</td>
            </tr>

    
            <tr>
              <td>x801</td>
            </tr>

    
            <tr>
              <td>x802</td>
            </tr>

    
            <tr>
              <td>x803</td>
            </tr>

    
                      </tbody>
                    </table>
                </div>
              </details>
            </div>
        <div class="sk-item"><div class="sk-estimator fitted sk-toggleable"><input class="sk-toggleable__control sk-hidden--visually sk-global" id="sk-estimator-id-139" type="checkbox" ><label for="sk-estimator-id-139" class="sk-toggleable__label fitted sk-toggleable__label-arrow"><div><div>LinearSVC</div></div><div><a class="sk-estimator-doc-link fitted" rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html">?<span>Documentation for LinearSVC</span></a></div></label><div class="sk-toggleable__content fitted" data-param-prefix="linearsvc__">
            <div class="estimator-table">
                <details>
                    <summary>Parameters</summary>
                    <table class="parameters-table">
                      <tbody>
                    
            <tr class="user-set">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('random_state',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-random_state;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=random_state,-int%2C%20RandomState%20instance%20or%20None%2C%20default%3DNone">
                random_state
                <span class="param-doc-description"
                style="position-anchor: --doc-link-random_state;">
                random_state: int, RandomState instance or None, default=None<br><br>Controls the pseudo random number generation for shuffling the data for<br>the dual coordinate descent (if ``dual=True``). When ``dual=False`` the<br>underlying implementation of :class:`LinearSVC` is not random and<br>``random_state`` has no effect on the results.<br>Pass an int for reproducible output across multiple function calls.<br>See :term:`Glossary &lt;random_state&gt;`.</span>
            </a>
        </td>
                <td class="value">RandomState(M...0x7F09531F5B40</td>
            </tr>
    

            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('penalty',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-penalty;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=penalty,-%7B%27l1%27%2C%20%27l2%27%7D%2C%20default%3D%27l2%27">
                penalty
                <span class="param-doc-description"
                style="position-anchor: --doc-link-penalty;">
                penalty: {&#x27;l1&#x27;, &#x27;l2&#x27;}, default=&#x27;l2&#x27;<br><br>Specifies the norm used in the penalization. The &#x27;l2&#x27;<br>penalty is the standard used in SVC. The &#x27;l1&#x27; leads to ``coef_``<br>vectors that are sparse.</span>
            </a>
        </td>
                <td class="value">&#x27;l2&#x27;</td>
            </tr>
    

            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('loss',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-loss;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=loss,-%7B%27hinge%27%2C%20%27squared_hinge%27%7D%2C%20default%3D%27squared_hinge%27">
                loss
                <span class="param-doc-description"
                style="position-anchor: --doc-link-loss;">
                loss: {&#x27;hinge&#x27;, &#x27;squared_hinge&#x27;}, default=&#x27;squared_hinge&#x27;<br><br>Specifies the loss function. &#x27;hinge&#x27; is the standard SVM loss<br>(used e.g. by the SVC class) while &#x27;squared_hinge&#x27; is the<br>square of the hinge loss. The combination of ``penalty=&#x27;l1&#x27;``<br>and ``loss=&#x27;hinge&#x27;`` is not supported.</span>
            </a>
        </td>
                <td class="value">&#x27;squared_hinge&#x27;</td>
            </tr>
    

            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('dual',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-dual;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=dual,-%22auto%22%20or%20bool%2C%20default%3D%22auto%22">
                dual
                <span class="param-doc-description"
                style="position-anchor: --doc-link-dual;">
                dual: &quot;auto&quot; or bool, default=&quot;auto&quot;<br><br>Select the algorithm to either solve the dual or primal<br>optimization problem. Prefer dual=False when n_samples &gt; n_features.<br>`dual=&quot;auto&quot;` will choose the value of the parameter automatically,<br>based on the values of `n_samples`, `n_features`, `loss`, `multi_class`<br>and `penalty`. If `n_samples` &lt; `n_features` and optimizer supports<br>chosen `loss`, `multi_class` and `penalty`, then dual will be set to True,<br>otherwise it will be set to False.<br><br>.. versionchanged:: 1.3<br>   The `&quot;auto&quot;` option is added in version 1.3 and will be the default<br>   in version 1.5.</span>
            </a>
        </td>
                <td class="value">&#x27;auto&#x27;</td>
            </tr>
    

            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('tol',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-tol;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=tol,-float%2C%20default%3D1e-4">
                tol
                <span class="param-doc-description"
                style="position-anchor: --doc-link-tol;">
                tol: float, default=1e-4<br><br>Tolerance for stopping criteria.</span>
            </a>
        </td>
                <td class="value">0.0001</td>
            </tr>
    

            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('C',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-C;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=C,-float%2C%20default%3D1.0">
                C
                <span class="param-doc-description"
                style="position-anchor: --doc-link-C;">
                C: float, default=1.0<br><br>Regularization parameter. The strength of the regularization is<br>inversely proportional to C. Must be strictly positive.<br>For an intuitive visualization of the effects of scaling<br>the regularization parameter C, see<br>:ref:`sphx_glr_auto_examples_svm_plot_svm_scale_c.py`.</span>
            </a>
        </td>
                <td class="value">1.0</td>
            </tr>
    

            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('multi_class',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-multi_class;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=multi_class,-%7B%27ovr%27%2C%20%27crammer_singer%27%7D%2C%20default%3D%27ovr%27">
                multi_class
                <span class="param-doc-description"
                style="position-anchor: --doc-link-multi_class;">
                multi_class: {&#x27;ovr&#x27;, &#x27;crammer_singer&#x27;}, default=&#x27;ovr&#x27;<br><br>Determines the multi-class strategy if `y` contains more than<br>two classes.<br>``&quot;ovr&quot;`` trains n_classes one-vs-rest classifiers, while<br>``&quot;crammer_singer&quot;`` optimizes a joint objective over all classes.<br>While `crammer_singer` is interesting from a theoretical perspective<br>as it is consistent, it is seldom used in practice as it rarely leads<br>to better accuracy and is more expensive to compute.<br>If ``&quot;crammer_singer&quot;`` is chosen, the options loss, penalty and dual<br>will be ignored.</span>
            </a>
        </td>
                <td class="value">&#x27;ovr&#x27;</td>
            </tr>
    

            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('fit_intercept',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-fit_intercept;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=fit_intercept,-bool%2C%20default%3DTrue">
                fit_intercept
                <span class="param-doc-description"
                style="position-anchor: --doc-link-fit_intercept;">
                fit_intercept: bool, default=True<br><br>Whether or not to fit an intercept. If set to True, the feature vector<br>is extended to include an intercept term: `[x_1, ..., x_n, 1]`, where<br>1 corresponds to the intercept. If set to False, no intercept will be<br>used in calculations (i.e. data is expected to be already centered).</span>
            </a>
        </td>
                <td class="value">True</td>
            </tr>
    

            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('intercept_scaling',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-intercept_scaling;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=intercept_scaling,-float%2C%20default%3D1.0">
                intercept_scaling
                <span class="param-doc-description"
                style="position-anchor: --doc-link-intercept_scaling;">
                intercept_scaling: float, default=1.0<br><br>When `fit_intercept` is True, the instance vector x becomes ``[x_1,<br>..., x_n, intercept_scaling]``, i.e. a &quot;synthetic&quot; feature with a<br>constant value equal to `intercept_scaling` is appended to the instance<br>vector. The intercept becomes intercept_scaling * synthetic feature<br>weight. Note that liblinear internally penalizes the intercept,<br>treating it like any other term in the feature vector. To reduce the<br>impact of the regularization on the intercept, the `intercept_scaling`<br>parameter can be set to a value greater than 1; the higher the value of<br>`intercept_scaling`, the lower the impact of regularization on it.<br>Then, the weights become `[w_x_1, ..., w_x_n,<br>w_intercept*intercept_scaling]`, where `w_x_1, ..., w_x_n` represent<br>the feature weights and the intercept weight is scaled by<br>`intercept_scaling`. This scaling allows the intercept term to have a<br>different regularization behavior compared to the other features.</span>
            </a>
        </td>
                <td class="value">1</td>
            </tr>
    

            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('class_weight',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-class_weight;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=class_weight,-dict%20or%20%27balanced%27%2C%20default%3DNone">
                class_weight
                <span class="param-doc-description"
                style="position-anchor: --doc-link-class_weight;">
                class_weight: dict or &#x27;balanced&#x27;, default=None<br><br>Set the parameter C of class i to ``class_weight[i]*C`` for<br>SVC. If not given, all classes are supposed to have<br>weight one.<br>The &quot;balanced&quot; mode uses the values of y to automatically adjust<br>weights inversely proportional to class frequencies in the input data<br>as ``n_samples / (n_classes * np.bincount(y))``.</span>
            </a>
        </td>
                <td class="value">None</td>
            </tr>
    

            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('verbose',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-verbose;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=verbose,-int%2C%20default%3D0">
                verbose
                <span class="param-doc-description"
                style="position-anchor: --doc-link-verbose;">
                verbose: int, default=0<br><br>Enable verbose output. Note that this setting takes advantage of a<br>per-process runtime setting in liblinear that, if enabled, may not work<br>properly in a multithreaded context.</span>
            </a>
        </td>
                <td class="value">0</td>
            </tr>
    

            <tr class="default">
                <td><i class="copy-paste-icon"
                     onclick="copyToClipboard('max_iter',
                              this.parentElement.nextElementSibling)"
                ></i></td>
                <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-max_iter;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=max_iter,-int%2C%20default%3D1000">
                max_iter
                <span class="param-doc-description"
                style="position-anchor: --doc-link-max_iter;">
                max_iter: int, default=1000<br><br>The maximum number of iterations to be run.</span>
            </a>
        </td>
                <td class="value">1000</td>
            </tr>
    
                      </tbody>
                    </table>
                </details>
            </div>
    
            <div class="estimator-table">
                <details>
                    <summary>Fitted attributes</summary>
                    <table class="parameters-table">
                        <tbody>
                            <tr>
                            <th>Name</th>
                            <th>Type</th>
                            <th>Value</th>
                            </tr>
                        
           <tr class="default">
               <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-classes_;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=classes_,-ndarray%20of%20shape%20%28n_classes%2C%29">
                classes_
                <span class="param-doc-description"
                style="position-anchor: --doc-link-classes_;">
                classes_: ndarray of shape (n_classes,)<br><br>The unique classes labels.</span>
            </a>
        </td>
               <td class="fitted-att-type">ndarray[int64](2,)</td>
               <td>[0,1]</td>


           </tr>
    

           <tr class="default">
               <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-coef_;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=coef_,-ndarray%20of%20shape%20%281%2C%20n_features%29%20if%20n_classes%20%3D%3D%202%20%20%20%20%20%20%20%20%20%20%20%20%20else%20%28n_classes%2C%20n_features%29">
                coef_
                <span class="param-doc-description"
                style="position-anchor: --doc-link-coef_;">
                coef_: ndarray of shape (1, n_features) if n_classes == 2             else (n_classes, n_features)<br><br>Weights assigned to the features (coefficients in the primal<br>problem).<br><br>``coef_`` is a readonly property derived from ``raw_coef_`` that<br>follows the internal memory layout of liblinear.</span>
            </a>
        </td>
               <td class="fitted-att-type">ndarray[float64](1, 804)</td>
               <td>[[ 0.03,-0.04, 0.05,..., 0.  ,-0.  , 0.  ]]</td>


           </tr>
    

           <tr class="default">
               <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-intercept_;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=intercept_,-ndarray%20of%20shape%20%281%2C%29%20if%20n_classes%20%3D%3D%202%20else%20%28n_classes%2C%29">
                intercept_
                <span class="param-doc-description"
                style="position-anchor: --doc-link-intercept_;">
                intercept_: ndarray of shape (1,) if n_classes == 2 else (n_classes,)<br><br>Constants in decision function.</span>
            </a>
        </td>
               <td class="fitted-att-type">ndarray[float64](1,)</td>
               <td>[-0.04]</td>


           </tr>
    

           <tr class="default">
               <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-n_features_in_;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=n_features_in_,-int">
                n_features_in_
                <span class="param-doc-description"
                style="position-anchor: --doc-link-n_features_in_;">
                n_features_in_: int<br><br>Number of features seen during :term:`fit`.<br><br>.. versionadded:: 0.24</span>
            </a>
        </td>
               <td class="fitted-att-type">int</td>
               <td>804</td>


           </tr>
    

           <tr class="default">
               <td class="param">
            <a class="param-doc-link"
                style="anchor-name: --doc-link-n_iter_;"
                rel="noreferrer" target="_blank" href="https://scikit-learn.org/1.9/modules/generated/sklearn.svm.LinearSVC.html#:~:text=n_iter_,-int">
                n_iter_
                <span class="param-doc-description"
                style="position-anchor: --doc-link-n_iter_;">
                n_iter_: int<br><br>Maximum number of iterations run across all classes.</span>
            </a>
        </td>
               <td class="fitted-att-type">int</td>
               <td>53</td>


           </tr>
    
                        </tbody>
                    </table>
                </details>
            </div>
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.. GENERATED FROM PYTHON SOURCE LINES 135-156

Plot the Precision-Recall curve
...............................

To plot the precision-recall curve, you should use
:class:`~sklearn.metrics.PrecisionRecallDisplay`. There are three
methods available:

* for plotting a single curve:

  * :func:`~sklearn.metrics.PrecisionRecallDisplay.from_estimator` for when you
    have not computed the predictions
  * :func:`~sklearn.metrics.PrecisionRecallDisplay.from_predictions` for when
    you already have the predictions

* for plotting multiple curves using cross-validation results:
  :func:`~sklearn.metrics.PrecisionRecallDisplay.from_cv_results`

Let's first plot the precision-recall curve without the classifier
predictions. We use
:func:`~sklearn.metrics.PrecisionRecallDisplay.from_estimator` that
computes the predictions for us before plotting the curve.

.. GENERATED FROM PYTHON SOURCE LINES 156-163

.. code-block:: Python

    from sklearn.metrics import PrecisionRecallDisplay

    display = PrecisionRecallDisplay.from_estimator(
        classifier, X_test, y_test, name="LinearSVC", plot_chance_level=True, despine=True
    )
    _ = display.ax_.set_title("2-class Precision-Recall curve")




.. image-sg:: /auto_examples/model_selection/images/sphx_glr_plot_precision_recall_001.png
   :alt: 2-class Precision-Recall curve
   :srcset: /auto_examples/model_selection/images/sphx_glr_plot_precision_recall_001.png
   :class: sphx-glr-single-img





.. GENERATED FROM PYTHON SOURCE LINES 164-167

If we already got the estimated probabilities or scores for
our model, then we can use
:func:`~sklearn.metrics.PrecisionRecallDisplay.from_predictions`.

.. GENERATED FROM PYTHON SOURCE LINES 167-174

.. code-block:: Python

    y_score = classifier.decision_function(X_test)

    display = PrecisionRecallDisplay.from_predictions(
        y_test, y_score, name="LinearSVC", plot_chance_level=True, despine=True
    )
    _ = display.ax_.set_title("2-class Precision-Recall curve")




.. image-sg:: /auto_examples/model_selection/images/sphx_glr_plot_precision_recall_002.png
   :alt: 2-class Precision-Recall curve
   :srcset: /auto_examples/model_selection/images/sphx_glr_plot_precision_recall_002.png
   :class: sphx-glr-single-img





.. GENERATED FROM PYTHON SOURCE LINES 175-178

The :func:`~sklearn.metrics.PrecisionRecallDisplay.from_cv_results` takes the
cross-validation results from :func:`~sklearn.model_selection.cross_validate`
and plots a precision-recall curve for each fold.

.. GENERATED FROM PYTHON SOURCE LINES 178-188

.. code-block:: Python


    from sklearn.model_selection import cross_validate

    classifier = make_pipeline(StandardScaler(), LinearSVC(random_state=random_state))
    cv_results = cross_validate(
        classifier, X_train, y_train, return_estimator=True, return_indices=True
    )
    display = PrecisionRecallDisplay.from_cv_results(cv_results, X_train, y_train)
    _ = display.ax_.set_title("Cross-validation Precision-Recall curves")




.. image-sg:: /auto_examples/model_selection/images/sphx_glr_plot_precision_recall_003.png
   :alt: Cross-validation Precision-Recall curves
   :srcset: /auto_examples/model_selection/images/sphx_glr_plot_precision_recall_003.png
   :class: sphx-glr-single-img





.. GENERATED FROM PYTHON SOURCE LINES 189-200

In multi-label settings
-----------------------

The precision-recall curve does not support the multilabel setting. However,
one can decide how to handle this case. We show such an example below.

Create multi-label data, fit, and predict
.........................................

We create a multi-label dataset, to illustrate the precision-recall in
multi-label settings.

.. GENERATED FROM PYTHON SOURCE LINES 200-212

.. code-block:: Python


    from sklearn.preprocessing import label_binarize

    # Use label_binarize to be multi-label like settings
    Y = label_binarize(y, classes=[0, 1, 2])
    n_classes = Y.shape[1]

    # Split into training and test
    X_train, X_test, Y_train, Y_test = train_test_split(
        X, Y, test_size=0.5, random_state=random_state
    )








.. GENERATED FROM PYTHON SOURCE LINES 213-215

We use :class:`~sklearn.multiclass.OneVsRestClassifier` for multi-label
prediction.

.. GENERATED FROM PYTHON SOURCE LINES 215-224

.. code-block:: Python

    from sklearn.multiclass import OneVsRestClassifier

    classifier = OneVsRestClassifier(
        make_pipeline(StandardScaler(), LinearSVC(random_state=random_state))
    )
    classifier.fit(X_train, Y_train)
    y_score = classifier.decision_function(X_test)









.. GENERATED FROM PYTHON SOURCE LINES 225-227

The average precision score in multi-label settings
...................................................

.. GENERATED FROM PYTHON SOURCE LINES 227-243

.. code-block:: Python

    from sklearn.metrics import average_precision_score, precision_recall_curve

    # For each class
    precision = dict()
    recall = dict()
    average_precision = dict()
    for i in range(n_classes):
        precision[i], recall[i], _ = precision_recall_curve(Y_test[:, i], y_score[:, i])
        average_precision[i] = average_precision_score(Y_test[:, i], y_score[:, i])

    # A "micro-average": quantifying score on all classes jointly
    precision["micro"], recall["micro"], _ = precision_recall_curve(
        Y_test.ravel(), y_score.ravel()
    )
    average_precision["micro"] = average_precision_score(Y_test, y_score, average="micro")








.. GENERATED FROM PYTHON SOURCE LINES 244-246

Plot the micro-averaged Precision-Recall curve
..............................................

.. GENERATED FROM PYTHON SOURCE LINES 246-257

.. code-block:: Python

    from collections import Counter

    display = PrecisionRecallDisplay(
        recall=recall["micro"],
        precision=precision["micro"],
        average_precision=average_precision["micro"],
        prevalence_pos_label=Counter(Y_test.ravel())[1] / Y_test.size,
    )
    display.plot(plot_chance_level=True, despine=True)
    _ = display.ax_.set_title("Micro-averaged over all classes")




.. image-sg:: /auto_examples/model_selection/images/sphx_glr_plot_precision_recall_004.png
   :alt: Micro-averaged over all classes
   :srcset: /auto_examples/model_selection/images/sphx_glr_plot_precision_recall_004.png
   :class: sphx-glr-single-img





.. GENERATED FROM PYTHON SOURCE LINES 258-260

Plot Precision-Recall curve for each class and iso-f1 curves
............................................................

.. GENERATED FROM PYTHON SOURCE LINES 260-308

.. code-block:: Python

    from itertools import cycle

    import matplotlib.pyplot as plt

    # setup plot details
    colors = cycle(["navy", "turquoise", "darkorange", "cornflowerblue", "teal"])

    _, ax = plt.subplots(figsize=(7, 8))

    f_scores = np.linspace(0.2, 0.8, num=4)
    lines, labels = [], []
    for f_score in f_scores:
        x = np.linspace(0.01, 1)
        y = f_score * x / (2 * x - f_score)
        (l,) = plt.plot(x[y >= 0], y[y >= 0], color="gray", alpha=0.2)
        plt.annotate("f1={0:0.1f}".format(f_score), xy=(0.9, y[45] + 0.02))

    display = PrecisionRecallDisplay(
        recall=recall["micro"],
        precision=precision["micro"],
        average_precision=average_precision["micro"],
    )
    display.plot(
        ax=ax, name="Micro-average precision-recall", curve_kwargs={"color": "gold"}
    )

    for i, color in zip(range(n_classes), colors):
        display = PrecisionRecallDisplay(
            recall=recall[i],
            precision=precision[i],
            average_precision=average_precision[i],
        )
        display.plot(
            ax=ax,
            name=f"Precision-recall for class {i}",
            curve_kwargs={"color": color},
            despine=True,
        )

    # add the legend for the iso-f1 curves
    handles, labels = display.ax_.get_legend_handles_labels()
    handles.extend([l])
    labels.extend(["iso-f1 curves"])
    # set the legend and the axes
    ax.legend(handles=handles, labels=labels, loc="best")
    ax.set_title("Extension of Precision-Recall curve to multi-class")

    plt.show()



.. image-sg:: /auto_examples/model_selection/images/sphx_glr_plot_precision_recall_005.png
   :alt: Extension of Precision-Recall curve to multi-class
   :srcset: /auto_examples/model_selection/images/sphx_glr_plot_precision_recall_005.png
   :class: sphx-glr-single-img






.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 0.504 seconds)


.. _sphx_glr_download_auto_examples_model_selection_plot_precision_recall.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: plot_precision_recall.ipynb <plot_precision_recall.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: plot_precision_recall.py <plot_precision_recall.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: plot_precision_recall.zip <plot_precision_recall.zip>`


.. include:: plot_precision_recall.recommendations


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_
