sklearn.inspection
.partial_dependence¶

sklearn.inspection.
partial_dependence
(estimator, X, features, *, response_method='auto', percentiles=(0.05, 0.95), grid_resolution=100, method='auto')[source]¶ Partial dependence of
features
.Partial dependence of a feature (or a set of features) corresponds to the average response of an estimator for each possible value of the feature.
Read more in the User Guide.
Warning
For
GradientBoostingClassifier
andGradientBoostingRegressor
, the ‘recursion’ method (used by default) will not account for theinit
predictor of the boosting process. In practice, this will produce the same values as ‘brute’ up to a constant offset in the target response, provided thatinit
is a constant estimator (which is the default). However, ifinit
is not a constant estimator, the partial dependence values are incorrect for ‘recursion’ because the offset will be sampledependent. It is preferable to use the ‘brute’ method. Note that this only applies toGradientBoostingClassifier
andGradientBoostingRegressor
, not toHistGradientBoostingClassifier
andHistGradientBoostingRegressor
. Parameters
 estimatorBaseEstimator
A fitted estimator object implementing predict, predict_proba, or decision_function. Multioutputmulticlass classifiers are not supported.
 X{arraylike or dataframe} of shape (n_samples, n_features)
X
is used to generate a grid of values for the targetfeatures
(where the partial dependence will be evaluated), and also to generate values for the complement features when themethod
is ‘brute’. featuresarraylike of {int, str}
The feature (e.g.
[0]
) or pair of interacting features (e.g.[(0, 1)]
) for which the partial dependency should be computed. response_method‘auto’, ‘predict_proba’ or ‘decision_function’, optional (default=’auto’)
Specifies whether to use predict_proba or decision_function as the target response. For regressors this parameter is ignored and the response is always the output of predict. By default, predict_proba is tried first and we revert to decision_function if it doesn’t exist. If
method
is ‘recursion’, the response is always the output of decision_function. percentilestuple of float, optional (default=(0.05, 0.95))
The lower and upper percentile used to create the extreme values for the grid. Must be in [0, 1].
 grid_resolutionint, optional (default=100)
The number of equally spaced points on the grid, for each target feature.
 methodstr, optional (default=’auto’)
The method used to calculate the averaged predictions:
‘recursion’ is only supported for some treebased estimators (namely
GradientBoostingClassifier
,GradientBoostingRegressor
,HistGradientBoostingClassifier
,HistGradientBoostingRegressor
,DecisionTreeRegressor
,RandomForestRegressor
, ) but is more efficient in terms of speed. With this method, the target response of a classifier is always the decision function, not the predicted probabilities.‘brute’ is supported for any estimator, but is more computationally intensive.
‘auto’: the ‘recursion’ is used for estimators that support it, and ‘brute’ is used otherwise.
Please see this note for differences between the ‘brute’ and ‘recursion’ method.
 Returns
 averaged_predictionsndarray, shape (n_outputs, len(values[0]), len(values[1]), …)
The predictions for all the points in the grid, averaged over all samples in X (or over the training data if
method
is ‘recursion’).n_outputs
corresponds to the number of classes in a multiclass setting, or to the number of tasks for multioutput regression. For classical regression and binary classificationn_outputs==1
.n_values_feature_j
corresponds to the sizevalues[j]
. valuesseq of 1d ndarrays
The values with which the grid has been created. The generated grid is a cartesian product of the arrays in
values
.len(values) == len(features)
. The size of each arrayvalues[j]
is eithergrid_resolution
, or the number of unique values inX[:, j]
, whichever is smaller.
See also
sklearn.inspection.plot_partial_dependence
Plot partial dependence
Examples
>>> X = [[0, 0, 2], [1, 0, 0]] >>> y = [0, 1] >>> from sklearn.ensemble import GradientBoostingClassifier >>> gb = GradientBoostingClassifier(random_state=0).fit(X, y) >>> partial_dependence(gb, features=[0], X=X, percentiles=(0, 1), ... grid_resolution=2) # doctest: +SKIP (array([[4.52..., 4.52...]]), [array([ 0., 1.])])