"""
==========================================
Feature importances with a forest of trees
==========================================

This example shows the use of a forest of trees to evaluate the importance of
features on an artificial classification task. The blue bars are the feature
importances of the forest, along with their inter-trees variability represented
by the error bars.

As expected, the plot suggests that 3 features are informative, while the
remaining are not.

"""

import matplotlib.pyplot as plt

# %%
# Data generation and model fitting
# ---------------------------------
# We generate a synthetic dataset with only 3 informative features. We will
# explicitly not shuffle the dataset to ensure that the informative features
# will correspond to the three first columns of X. In addition, we will split
# our dataset into training and testing subsets.
from sklearn.datasets import make_classification
from sklearn.model_selection import train_test_split

X, y = make_classification(
    n_samples=1000,
    n_features=10,
    n_informative=3,
    n_redundant=0,
    n_repeated=0,
    n_classes=2,
    random_state=0,
    shuffle=False,
)
X_train, X_test, y_train, y_test = train_test_split(X, y, stratify=y, random_state=42)

# %%
# A random forest classifier will be fitted to compute the feature importances.
from sklearn.ensemble import RandomForestClassifier

feature_names = [f"feature {i}" for i in range(X.shape[1])]
forest = RandomForestClassifier(random_state=0)
forest.fit(X_train, y_train)

# %%
# Feature importance based on mean decrease in impurity
# -----------------------------------------------------
# Feature importances are provided by the fitted attribute
# `feature_importances_` and they are computed as the mean and standard
# deviation of accumulation of the impurity decrease within each tree.
#
# .. warning::
#     Impurity-based feature importances can be misleading for **high
#     cardinality** features (many unique values). See
#     :ref:`permutation_importance` as an alternative below.
import time
import numpy as np

start_time = time.time()
importances = forest.feature_importances_
std = np.std([tree.feature_importances_ for tree in forest.estimators_], axis=0)
elapsed_time = time.time() - start_time

print(f"Elapsed time to compute the importances: {elapsed_time:.3f} seconds")

# %%
# Let's plot the impurity-based importance.
import pandas as pd

forest_importances = pd.Series(importances, index=feature_names)

fig, ax = plt.subplots()
forest_importances.plot.bar(yerr=std, ax=ax)
ax.set_title("Feature importances using MDI")
ax.set_ylabel("Mean decrease in impurity")
fig.tight_layout()

# %%
# We observe that, as expected, the three first features are found important.
#
# Feature importance based on feature permutation
# -----------------------------------------------
# Permutation feature importance overcomes limitations of the impurity-based
# feature importance: they do not have a bias toward high-cardinality features
# and can be computed on a left-out test set.
from sklearn.inspection import permutation_importance

start_time = time.time()
result = permutation_importance(
    forest, X_test, y_test, n_repeats=10, random_state=42, n_jobs=2
)
elapsed_time = time.time() - start_time
print(f"Elapsed time to compute the importances: {elapsed_time:.3f} seconds")

forest_importances = pd.Series(result.importances_mean, index=feature_names)

# %%
# The computation for full permutation importance is more costly. Features are
# shuffled n times and the model refitted to estimate the importance of it.
# Please see :ref:`permutation_importance` for more details. We can now plot
# the importance ranking.

fig, ax = plt.subplots()
forest_importances.plot.bar(yerr=result.importances_std, ax=ax)
ax.set_title("Feature importances using permutation on full model")
ax.set_ylabel("Mean accuracy decrease")
fig.tight_layout()
plt.show()

# %%
# The same features are detected as most important using both methods. Although
# the relative importances vary. As seen on the plots, MDI is less likely than
# permutation importance to fully omit a feature.