sklearn/examples/model_selection/plot_successive_halving_hea...

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Python

"""
Comparison between grid search and successive halving
=====================================================
This example compares the parameter search performed by
:class:`~sklearn.model_selection.HalvingGridSearchCV` and
:class:`~sklearn.model_selection.GridSearchCV`.
"""
from time import time
import matplotlib.pyplot as plt
import numpy as np
import pandas as pd
from sklearn import datasets
from sklearn.experimental import enable_halving_search_cv # noqa
from sklearn.model_selection import GridSearchCV, HalvingGridSearchCV
from sklearn.svm import SVC
# %%
# We first define the parameter space for an :class:`~sklearn.svm.SVC`
# estimator, and compute the time required to train a
# :class:`~sklearn.model_selection.HalvingGridSearchCV` instance, as well as a
# :class:`~sklearn.model_selection.GridSearchCV` instance.
rng = np.random.RandomState(0)
X, y = datasets.make_classification(n_samples=1000, random_state=rng)
gammas = [1e-1, 1e-2, 1e-3, 1e-4, 1e-5, 1e-6, 1e-7]
Cs = [1, 10, 100, 1e3, 1e4, 1e5]
param_grid = {"gamma": gammas, "C": Cs}
clf = SVC(random_state=rng)
tic = time()
gsh = HalvingGridSearchCV(
estimator=clf, param_grid=param_grid, factor=2, random_state=rng
)
gsh.fit(X, y)
gsh_time = time() - tic
tic = time()
gs = GridSearchCV(estimator=clf, param_grid=param_grid)
gs.fit(X, y)
gs_time = time() - tic
# %%
# We now plot heatmaps for both search estimators.
def make_heatmap(ax, gs, is_sh=False, make_cbar=False):
"""Helper to make a heatmap."""
results = pd.DataFrame(gs.cv_results_)
results[["param_C", "param_gamma"]] = results[["param_C", "param_gamma"]].astype(
np.float64
)
if is_sh:
# SH dataframe: get mean_test_score values for the highest iter
scores_matrix = results.sort_values("iter").pivot_table(
index="param_gamma",
columns="param_C",
values="mean_test_score",
aggfunc="last",
)
else:
scores_matrix = results.pivot(
index="param_gamma", columns="param_C", values="mean_test_score"
)
im = ax.imshow(scores_matrix)
ax.set_xticks(np.arange(len(Cs)))
ax.set_xticklabels(["{:.0E}".format(x) for x in Cs])
ax.set_xlabel("C", fontsize=15)
ax.set_yticks(np.arange(len(gammas)))
ax.set_yticklabels(["{:.0E}".format(x) for x in gammas])
ax.set_ylabel("gamma", fontsize=15)
# Rotate the tick labels and set their alignment.
plt.setp(ax.get_xticklabels(), rotation=45, ha="right", rotation_mode="anchor")
if is_sh:
iterations = results.pivot_table(
index="param_gamma", columns="param_C", values="iter", aggfunc="max"
).values
for i in range(len(gammas)):
for j in range(len(Cs)):
ax.text(
j,
i,
iterations[i, j],
ha="center",
va="center",
color="w",
fontsize=20,
)
if make_cbar:
fig.subplots_adjust(right=0.8)
cbar_ax = fig.add_axes([0.85, 0.15, 0.05, 0.7])
fig.colorbar(im, cax=cbar_ax)
cbar_ax.set_ylabel("mean_test_score", rotation=-90, va="bottom", fontsize=15)
fig, axes = plt.subplots(ncols=2, sharey=True)
ax1, ax2 = axes
make_heatmap(ax1, gsh, is_sh=True)
make_heatmap(ax2, gs, make_cbar=True)
ax1.set_title("Successive Halving\ntime = {:.3f}s".format(gsh_time), fontsize=15)
ax2.set_title("GridSearch\ntime = {:.3f}s".format(gs_time), fontsize=15)
plt.show()
# %%
# The heatmaps show the mean test score of the parameter combinations for an
# :class:`~sklearn.svm.SVC` instance. The
# :class:`~sklearn.model_selection.HalvingGridSearchCV` also shows the
# iteration at which the combinations where last used. The combinations marked
# as ``0`` were only evaluated at the first iteration, while the ones with
# ``5`` are the parameter combinations that are considered the best ones.
#
# We can see that the :class:`~sklearn.model_selection.HalvingGridSearchCV`
# class is able to find parameter combinations that are just as accurate as
# :class:`~sklearn.model_selection.GridSearchCV`, in much less time.