Recursive feature elimination with cross-validation to select features.
The number of features selected is tuned automatically by fitting an RFE
selector on the different cross-validation splits (provided by the cv
parameter). The performance of each RFE
selector is evaluated using scoring
for different numbers of selected features and aggregated together. Finally, the scores are averaged across folds and the number of features selected is set to the number of features that maximize the cross-validation score.
See glossary entry for cross-validation estimator.
Read more in the User Guide.
Estimator
instance
A supervised learning estimator with a fit
method that provides information about feature importance either through a coef_
attribute or through a feature_importances_
attribute.
If greater than or equal to 1, then step
corresponds to the (integer) number of features to remove at each iteration. If within (0.0, 1.0), then step
corresponds to the percentage (rounded down) of features to remove at each iteration. Note that the last iteration may remove fewer than step
features in order to reach min_features_to_select
.
The minimum number of features to be selected. This number of features will always be scored, even if the difference between the original feature count and min_features_to_select
isn’t divisible by step
.
Added in version 0.20.
Determines the cross-validation splitting strategy. Possible inputs for cv are:
None, to use the default 5-fold cross-validation,
integer, to specify the number of folds.
An iterable yielding (train, test) splits as arrays of indices.
For integer/None inputs, if y
is binary or multiclass, StratifiedKFold
is used. If the estimator is not a classifier or if y
is neither binary nor multiclass, KFold
is used.
Refer User Guide for the various cross-validation strategies that can be used here.
Changed in version 0.22: cv
default value of None changed from 3-fold to 5-fold.
Scoring method to evaluate the RFE
selectors’ performance. Options:
str: see String name scorers for options.
callable: a scorer callable object (e.g., function) with signature scorer(estimator, X, y)
. See Callable scorers for details.
None
: the estimator
’s default evaluation criterion is used.
Controls verbosity of output.
Number of cores to run in parallel while fitting across folds. None
means 1 unless in a joblib.parallel_backend
context. -1
means using all processors. See Glossary for more details.
Added in version 0.18.
If ‘auto’, uses the feature importance either through a coef_
or feature_importances_
attributes of estimator.
Also accepts a string that specifies an attribute name/path for extracting feature importance. For example, give regressor_.coef_
in case of TransformedTargetRegressor
or named_steps.clf.feature_importances_
in case of Pipeline
with its last step named clf
.
If callable
, overrides the default feature importance getter. The callable is passed with the fitted estimator and it should return importance for each feature.
Added in version 0.24.
classes_
ndarray of shape (n_classes,)
Classes labels available when estimator
is a classifier.
Estimator
instance
The fitted estimator used to select features.
All arrays (values of the dictionary) are sorted in ascending order by the number of features used (i.e., the first element of the array represents the models that used the least number of features, while the last element represents the models that used all available features).
Added in version 1.0.
This dictionary contains the following keys:
The cross-validation scores across (k)th fold.
Mean of scores over the folds.
Standard deviation of scores over the folds.
Number of features used at each step.
Added in version 1.5.
The cross-validation rankings across (k)th fold. Selected (i.e., estimated best) features are assigned rank 1. Illustration in Recursive feature elimination with cross-validation
Added in version 1.7.
The cross-validation supports across (k)th fold. The support is the mask of selected features.
Added in version 1.7.
The number of selected features with cross-validation.
Number of features seen during fit. Only defined if the underlying estimator exposes such an attribute when fit.
Added in version 0.24.
n_features_in_
,)
Names of features seen during fit. Defined only when X
has feature names that are all strings.
Added in version 1.0.
The feature ranking, such that ranking_[i]
corresponds to the ranking position of the i-th feature. Selected (i.e., estimated best) features are assigned rank 1.
The mask of selected features.
See also
RFE
Recursive feature elimination.
Notes
The size of all values in cv_results_
is equal to ceil((n_features - min_features_to_select) / step) + 1
, where step is the number of features removed at each iteration.
Allows NaN/Inf in the input if the underlying estimator does as well.
References
[1]Guyon, I., Weston, J., Barnhill, S., & Vapnik, V., “Gene selection for cancer classification using support vector machines”, Mach. Learn., 46(1-3), 389–422, 2002.
Examples
The following example shows how to retrieve the a-priori not known 5 informative features in the Friedman #1 dataset.
>>> from sklearn.datasets import make_friedman1 >>> from sklearn.feature_selection import RFECV >>> from sklearn.svm import SVR >>> X, y = make_friedman1(n_samples=50, n_features=10, random_state=0) >>> estimator = SVR(kernel="linear") >>> selector = RFECV(estimator, step=1, cv=5) >>> selector = selector.fit(X, y) >>> selector.support_ array([ True, True, True, True, True, False, False, False, False, False]) >>> selector.ranking_ array([1, 1, 1, 1, 1, 6, 4, 3, 2, 5])
For a detailed example of using RFECV to select features when training a LogisticRegression
, see Recursive feature elimination with cross-validation.
Compute the decision function of X
.
The input samples. Internally, it will be converted to dtype=np.float32
and if a sparse matrix is provided to a sparse csr_matrix
.
The decision function of the input samples. The order of the classes corresponds to that in the attribute classes_. Regression and binary classification produce an array of shape [n_samples].
Fit the RFE model and automatically tune the number of selected features.
Training vector, where n_samples
is the number of samples and n_features
is the total number of features.
Target values (integers for classification, real numbers for regression).
Group labels for the samples used while splitting the dataset into train/test set. Only used in conjunction with a “Group” cv instance (e.g., GroupKFold
).
Added in version 0.20.
Parameters passed to the fit
method of the estimator, the scorer, and the CV splitter.
Added in version 1.6: Only available if enable_metadata_routing=True
, which can be set by using sklearn.set_config(enable_metadata_routing=True)
. See Metadata Routing User Guide for more details.
Fitted estimator.
Fit to data, then transform it.
Fits transformer to X
and y
with optional parameters fit_params
and returns a transformed version of X
.
Input samples.
Target values (None for unsupervised transformations).
Additional fit parameters.
Transformed array.
Mask feature names according to selected features.
Input features.
If input_features
is None
, then feature_names_in_
is used as feature names in. If feature_names_in_
is not defined, then the following input feature names are generated: ["x0", "x1", ..., "x(n_features_in_ - 1)"]
.
If input_features
is an array-like, then input_features
must match feature_names_in_
if feature_names_in_
is defined.
Transformed feature names.
Get metadata routing of this object.
Please check User Guide on how the routing mechanism works.
Added in version 1.6.
A MetadataRouter
encapsulating routing information.
Get parameters for this estimator.
If True, will return the parameters for this estimator and contained subobjects that are estimators.
Parameter names mapped to their values.
Get a mask, or integer index, of the features selected.
If True, the return value will be an array of integers, rather than a boolean mask.
An index that selects the retained features from a feature vector. If indices
is False, this is a boolean array of shape [# input features], in which an element is True iff its corresponding feature is selected for retention. If indices
is True, this is an integer array of shape [# output features] whose values are indices into the input feature vector.
Reverse the transformation operation.
The input samples.
X
with columns of zeros inserted where features would have been removed by transform
.
Reduce X to the selected features and predict using the estimator.
The input samples.
Parameters to route to the predict
method of the underlying estimator.
Added in version 1.6: Only available if enable_metadata_routing=True
, which can be set by using sklearn.set_config(enable_metadata_routing=True)
. See Metadata Routing User Guide for more details.
The predicted target values.
Predict class log-probabilities for X.
The input samples.
The class log-probabilities of the input samples. The order of the classes corresponds to that in the attribute classes_.
Predict class probabilities for X.
The input samples. Internally, it will be converted to dtype=np.float32
and if a sparse matrix is provided to a sparse csr_matrix
.
The class probabilities of the input samples. The order of the classes corresponds to that in the attribute classes_.
Score using the scoring
option on the given test data and labels.
Test samples.
True labels for X.
Parameters to pass to the score
method of the underlying scorer.
Added in version 1.6: Only available if enable_metadata_routing=True
, which can be set by using sklearn.set_config(enable_metadata_routing=True)
. See Metadata Routing User Guide for more details.
Score of self.predict(X) w.r.t. y defined by scoring
.
Set output container.
See Introducing the set_output API for an example on how to use the API.
Configure output of transform
and fit_transform
.
"default"
: Default output format of a transformer
"pandas"
: DataFrame output
"polars"
: Polars output
None
: Transform configuration is unchanged
Added in version 1.4: "polars"
option was added.
Estimator instance.
Set the parameters of this estimator.
The method works on simple estimators as well as on nested objects (such as Pipeline
). The latter have parameters of the form <component>__<parameter>
so that it’s possible to update each component of a nested object.
Estimator parameters.
Estimator instance.
Reduce X to the selected features.
The input samples.
The input samples with only the selected features.
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