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

    Click :ref:`here <sphx_glr_download_auto_examples_ensemble_plot_forest_iris.py>` to download the full example code
.. rst-class:: sphx-glr-example-title

.. _sphx_glr_auto_examples_ensemble_plot_forest_iris.py:


====================================================================
Plot the decision surfaces of ensembles of trees on the iris dataset
====================================================================

Plot the decision surfaces of forests of randomized trees trained on pairs of
features of the iris dataset.

This plot compares the decision surfaces learned by a decision tree classifier
(first column), by a random forest classifier (second column), by an extra-
trees classifier (third column) and by an AdaBoost classifier (fourth column).

In the first row, the classifiers are built using the sepal width and
the sepal length features only, on the second row using the petal length and
sepal length only, and on the third row using the petal width and the
petal length only.

In descending order of quality, when trained (outside of this example) on all
4 features using 30 estimators and scored using 10 fold cross validation,
we see::

    ExtraTreesClassifier()  # 0.95 score
    RandomForestClassifier()  # 0.94 score
    AdaBoost(DecisionTree(max_depth=3))  # 0.94 score
    DecisionTree(max_depth=None)  # 0.94 score

Increasing `max_depth` for AdaBoost lowers the standard deviation of
the scores (but the average score does not improve).

See the console's output for further details about each model.

In this example you might try to:

1) vary the ``max_depth`` for the ``DecisionTreeClassifier`` and
   ``AdaBoostClassifier``, perhaps try ``max_depth=3`` for the
   ``DecisionTreeClassifier`` or ``max_depth=None`` for ``AdaBoostClassifier``
2) vary ``n_estimators``

It is worth noting that RandomForests and ExtraTrees can be fitted in parallel
on many cores as each tree is built independently of the others. AdaBoost's
samples are built sequentially and so do not use multiple cores.



.. code-block:: python

    print(__doc__)

    import numpy as np
    import matplotlib.pyplot as plt
    from matplotlib.colors import ListedColormap

    from sklearn.datasets import load_iris
    from sklearn.ensemble import (RandomForestClassifier, ExtraTreesClassifier,
                                  AdaBoostClassifier)
    from sklearn.tree import DecisionTreeClassifier

    # Parameters
    n_classes = 3
    n_estimators = 30
    cmap = plt.cm.RdYlBu
    plot_step = 0.02  # fine step width for decision surface contours
    plot_step_coarser = 0.5  # step widths for coarse classifier guesses
    RANDOM_SEED = 13  # fix the seed on each iteration

    # Load data
    iris = load_iris()

    plot_idx = 1

    models = [DecisionTreeClassifier(max_depth=None),
              RandomForestClassifier(n_estimators=n_estimators),
              ExtraTreesClassifier(n_estimators=n_estimators),
              AdaBoostClassifier(DecisionTreeClassifier(max_depth=3),
                                 n_estimators=n_estimators)]

    for pair in ([0, 1], [0, 2], [2, 3]):
        for model in models:
            # We only take the two corresponding features
            X = iris.data[:, pair]
            y = iris.target

            # Shuffle
            idx = np.arange(X.shape[0])
            np.random.seed(RANDOM_SEED)
            np.random.shuffle(idx)
            X = X[idx]
            y = y[idx]

            # Standardize
            mean = X.mean(axis=0)
            std = X.std(axis=0)
            X = (X - mean) / std

            # Train
            model.fit(X, y)

            scores = model.score(X, y)
            # Create a title for each column and the console by using str() and
            # slicing away useless parts of the string
            model_title = str(type(model)).split(
                ".")[-1][:-2][:-len("Classifier")]

            model_details = model_title
            if hasattr(model, "estimators_"):
                model_details += " with {} estimators".format(
                    len(model.estimators_))
            print(model_details + " with features", pair,
                  "has a score of", scores)

            plt.subplot(3, 4, plot_idx)
            if plot_idx <= len(models):
                # Add a title at the top of each column
                plt.title(model_title, fontsize=9)

            # Now plot the decision boundary using a fine mesh as input to a
            # filled contour plot
            x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1
            y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1
            xx, yy = np.meshgrid(np.arange(x_min, x_max, plot_step),
                                 np.arange(y_min, y_max, plot_step))

            # Plot either a single DecisionTreeClassifier or alpha blend the
            # decision surfaces of the ensemble of classifiers
            if isinstance(model, DecisionTreeClassifier):
                Z = model.predict(np.c_[xx.ravel(), yy.ravel()])
                Z = Z.reshape(xx.shape)
                cs = plt.contourf(xx, yy, Z, cmap=cmap)
            else:
                # Choose alpha blend level with respect to the number
                # of estimators
                # that are in use (noting that AdaBoost can use fewer estimators
                # than its maximum if it achieves a good enough fit early on)
                estimator_alpha = 1.0 / len(model.estimators_)
                for tree in model.estimators_:
                    Z = tree.predict(np.c_[xx.ravel(), yy.ravel()])
                    Z = Z.reshape(xx.shape)
                    cs = plt.contourf(xx, yy, Z, alpha=estimator_alpha, cmap=cmap)

            # Build a coarser grid to plot a set of ensemble classifications
            # to show how these are different to what we see in the decision
            # surfaces. These points are regularly space and do not have a
            # black outline
            xx_coarser, yy_coarser = np.meshgrid(
                np.arange(x_min, x_max, plot_step_coarser),
                np.arange(y_min, y_max, plot_step_coarser))
            Z_points_coarser = model.predict(np.c_[xx_coarser.ravel(),
                                             yy_coarser.ravel()]
                                             ).reshape(xx_coarser.shape)
            cs_points = plt.scatter(xx_coarser, yy_coarser, s=15,
                                    c=Z_points_coarser, cmap=cmap,
                                    edgecolors="none")

            # Plot the training points, these are clustered together and have a
            # black outline
            plt.scatter(X[:, 0], X[:, 1], c=y,
                        cmap=ListedColormap(['r', 'y', 'b']),
                        edgecolor='k', s=20)
            plot_idx += 1  # move on to the next plot in sequence

    plt.suptitle("Classifiers on feature subsets of the Iris dataset", fontsize=12)
    plt.axis("tight")
    plt.tight_layout(h_pad=0.2, w_pad=0.2, pad=2.5)
    plt.show()

**Total running time of the script:** ( 0 minutes  0.000 seconds)


.. _sphx_glr_download_auto_examples_ensemble_plot_forest_iris.py:


.. only :: html

 .. container:: sphx-glr-footer
    :class: sphx-glr-footer-example



  .. container:: sphx-glr-download

     :download:`Download Python source code: plot_forest_iris.py <plot_forest_iris.py>`



  .. container:: sphx-glr-download

     :download:`Download Jupyter notebook: plot_forest_iris.ipynb <plot_forest_iris.ipynb>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.readthedocs.io>`_
