sklearn.ensemble
.GradientBoostingRegressor¶
- class sklearn.ensemble.GradientBoostingRegressor(*, loss='squared_error', learning_rate=0.1, n_estimators=100, subsample=1.0, criterion='friedman_mse', min_samples_split=2, min_samples_leaf=1, min_weight_fraction_leaf=0.0, max_depth=3, min_impurity_decrease=0.0, init=None, random_state=None, max_features=None, alpha=0.9, verbose=0, max_leaf_nodes=None, warm_start=False, validation_fraction=0.1, n_iter_no_change=None, tol=0.0001, ccp_alpha=0.0)[source]¶
Gradient Boosting for regression.
This estimator builds an additive model in a forward stage-wise fashion; it allows for the optimization of arbitrary differentiable loss functions. In each stage a regression tree is fit on the negative gradient of the given loss function.
sklearn.ensemble.HistGradientBoostingRegressor
is a much faster variant of this algorithm for intermediate datasets (n_samples >= 10_000
).Read more in the User Guide.
- Parameters:
- loss{‘squared_error’, ‘absolute_error’, ‘huber’, ‘quantile’}, default=’squared_error’
Loss function to be optimized. ‘squared_error’ refers to the squared error for regression. ‘absolute_error’ refers to the absolute error of regression and is a robust loss function. ‘huber’ is a combination of the two. ‘quantile’ allows quantile regression (use
alpha
to specify the quantile).- learning_ratefloat, default=0.1
Learning rate shrinks the contribution of each tree by
learning_rate
. There is a trade-off between learning_rate and n_estimators. Values must be in the range[0.0, inf)
.- n_estimatorsint, default=100
The number of boosting stages to perform. Gradient boosting is fairly robust to over-fitting so a large number usually results in better performance. Values must be in the range
[1, inf)
.- subsamplefloat, default=1.0
The fraction of samples to be used for fitting the individual base learners. If smaller than 1.0 this results in Stochastic Gradient Boosting.
subsample
interacts with the parametern_estimators
. Choosingsubsample < 1.0
leads to a reduction of variance and an increase in bias. Values must be in the range(0.0, 1.0]
.- criterion{‘friedman_mse’, ‘squared_error’}, default=’friedman_mse’
The function to measure the quality of a split. Supported criteria are “friedman_mse” for the mean squared error with improvement score by Friedman, “squared_error” for mean squared error. The default value of “friedman_mse” is generally the best as it can provide a better approximation in some cases.
New in version 0.18.
- min_samples_splitint or float, default=2
The minimum number of samples required to split an internal node:
If int, values must be in the range
[2, inf)
.If float, values must be in the range
(0.0, 1.0]
andmin_samples_split
will beceil(min_samples_split * n_samples)
.
Changed in version 0.18: Added float values for fractions.
- min_samples_leafint or float, default=1
The minimum number of samples required to be at a leaf node. A split point at any depth will only be considered if it leaves at least
min_samples_leaf
training samples in each of the left and right branches. This may have the effect of smoothing the model, especially in regression.If int, values must be in the range
[1, inf)
.If float, values must be in the range
(0.0, 1.0)
andmin_samples_leaf
will beceil(min_samples_leaf * n_samples)
.
Changed in version 0.18: Added float values for fractions.
- min_weight_fraction_leaffloat, default=0.0
The minimum weighted fraction of the sum total of weights (of all the input samples) required to be at a leaf node. Samples have equal weight when sample_weight is not provided. Values must be in the range
[0.0, 0.5]
.- max_depthint or None, default=3
Maximum depth of the individual regression estimators. The maximum depth limits the number of nodes in the tree. Tune this parameter for best performance; the best value depends on the interaction of the input variables. If None, then nodes are expanded until all leaves are pure or until all leaves contain less than min_samples_split samples. If int, values must be in the range
[1, inf)
.- min_impurity_decreasefloat, default=0.0
A node will be split if this split induces a decrease of the impurity greater than or equal to this value. Values must be in the range
[0.0, inf)
.The weighted impurity decrease equation is the following:
N_t / N * (impurity - N_t_R / N_t * right_impurity - N_t_L / N_t * left_impurity)
where
N
is the total number of samples,N_t
is the number of samples at the current node,N_t_L
is the number of samples in the left child, andN_t_R
is the number of samples in the right child.N
,N_t
,N_t_R
andN_t_L
all refer to the weighted sum, ifsample_weight
is passed.New in version 0.19.
- initestimator or ‘zero’, default=None
An estimator object that is used to compute the initial predictions.
init
has to provide fit and predict. If ‘zero’, the initial raw predictions are set to zero. By default aDummyEstimator
is used, predicting either the average target value (for loss=’squared_error’), or a quantile for the other losses.- random_stateint, RandomState instance or None, default=None
Controls the random seed given to each Tree estimator at each boosting iteration. In addition, it controls the random permutation of the features at each split (see Notes for more details). It also controls the random splitting of the training data to obtain a validation set if
n_iter_no_change
is not None. Pass an int for reproducible output across multiple function calls. See Glossary.- max_features{‘sqrt’, ‘log2’}, int or float, default=None
The number of features to consider when looking for the best split:
If int, values must be in the range
[1, inf)
.If float, values must be in the range
(0.0, 1.0]
and the features considered at each split will bemax(1, int(max_features * n_features_in_))
.If “sqrt”, then
max_features=sqrt(n_features)
.If “log2”, then
max_features=log2(n_features)
.If None, then
max_features=n_features
.
Choosing
max_features < n_features
leads to a reduction of variance and an increase in bias.Note: the search for a split does not stop until at least one valid partition of the node samples is found, even if it requires to effectively inspect more than
max_features
features.- alphafloat, default=0.9
The alpha-quantile of the huber loss function and the quantile loss function. Only if
loss='huber'
orloss='quantile'
. Values must be in the range(0.0, 1.0)
.- verboseint, default=0
Enable verbose output. If 1 then it prints progress and performance once in a while (the more trees the lower the frequency). If greater than 1 then it prints progress and performance for every tree. Values must be in the range
[0, inf)
.- max_leaf_nodesint, default=None
Grow trees with
max_leaf_nodes
in best-first fashion. Best nodes are defined as relative reduction in impurity. Values must be in the range[2, inf)
. If None, then unlimited number of leaf nodes.- warm_startbool, default=False
When set to
True
, reuse the solution of the previous call to fit and add more estimators to the ensemble, otherwise, just erase the previous solution. See the Glossary.- validation_fractionfloat, default=0.1
The proportion of training data to set aside as validation set for early stopping. Values must be in the range
(0.0, 1.0)
. Only used ifn_iter_no_change
is set to an integer.New in version 0.20.
- n_iter_no_changeint, default=None
n_iter_no_change
is used to decide if early stopping will be used to terminate training when validation score is not improving. By default it is set to None to disable early stopping. If set to a number, it will set asidevalidation_fraction
size of the training data as validation and terminate training when validation score is not improving in all of the previousn_iter_no_change
numbers of iterations. Values must be in the range[1, inf)
.New in version 0.20.
- tolfloat, default=1e-4
Tolerance for the early stopping. When the loss is not improving by at least tol for
n_iter_no_change
iterations (if set to a number), the training stops. Values must be in the range[0.0, inf)
.New in version 0.20.
- ccp_alphanon-negative float, default=0.0
Complexity parameter used for Minimal Cost-Complexity Pruning. The subtree with the largest cost complexity that is smaller than
ccp_alpha
will be chosen. By default, no pruning is performed. Values must be in the range[0.0, inf)
. See Minimal Cost-Complexity Pruning for details.New in version 0.22.
- Attributes:
feature_importances_
ndarray of shape (n_features,)The impurity-based feature importances.
- oob_improvement_ndarray of shape (n_estimators,)
The improvement in loss (= deviance) on the out-of-bag samples relative to the previous iteration.
oob_improvement_[0]
is the improvement in loss of the first stage over theinit
estimator. Only available ifsubsample < 1.0
.- oob_scores_ndarray of shape (n_estimators,)
The full history of the loss (= deviance) values on the out-of-bag samples. Only available if
subsample < 1.0
.New in version 1.3.
- oob_score_float
The last value of the loss (= deviance) on the out-of-bag samples. It is the same as
oob_scores_[-1]
. Only available ifsubsample < 1.0
.New in version 1.3.
- train_score_ndarray of shape (n_estimators,)
The i-th score
train_score_[i]
is the deviance (= loss) of the model at iterationi
on the in-bag sample. Ifsubsample == 1
this is the deviance on the training data.- init_estimator
The estimator that provides the initial predictions. Set via the
init
argument orloss.init_estimator
.- estimators_ndarray of DecisionTreeRegressor of shape (n_estimators, 1)
The collection of fitted sub-estimators.
- n_estimators_int
The number of estimators as selected by early stopping (if
n_iter_no_change
is specified). Otherwise it is set ton_estimators
.- n_features_in_int
Number of features seen during fit.
New in version 0.24.
- feature_names_in_ndarray of shape (
n_features_in_
,) Names of features seen during fit. Defined only when
X
has feature names that are all strings.New in version 1.0.
- max_features_int
The inferred value of max_features.
See also
HistGradientBoostingRegressor
Histogram-based Gradient Boosting Classification Tree.
sklearn.tree.DecisionTreeRegressor
A decision tree regressor.
sklearn.ensemble.RandomForestRegressor
A random forest regressor.
Notes
The features are always randomly permuted at each split. Therefore, the best found split may vary, even with the same training data and
max_features=n_features
, if the improvement of the criterion is identical for several splits enumerated during the search of the best split. To obtain a deterministic behaviour during fitting,random_state
has to be fixed.References
J. Friedman, Greedy Function Approximation: A Gradient Boosting Machine, The Annals of Statistics, Vol. 29, No. 5, 2001.
Friedman, Stochastic Gradient Boosting, 1999
T. Hastie, R. Tibshirani and J. Friedman. Elements of Statistical Learning Ed. 2, Springer, 2009.
Examples
>>> from sklearn.datasets import make_regression >>> from sklearn.ensemble import GradientBoostingRegressor >>> from sklearn.model_selection import train_test_split >>> X, y = make_regression(random_state=0) >>> X_train, X_test, y_train, y_test = train_test_split( ... X, y, random_state=0) >>> reg = GradientBoostingRegressor(random_state=0) >>> reg.fit(X_train, y_train) GradientBoostingRegressor(random_state=0) >>> reg.predict(X_test[1:2]) array([-61...]) >>> reg.score(X_test, y_test) 0.4...
Methods
apply
(X)Apply trees in the ensemble to X, return leaf indices.
fit
(X, y[, sample_weight, monitor])Fit the gradient boosting model.
get_params
([deep])Get parameters for this estimator.
predict
(X)Predict regression target for X.
score
(X, y[, sample_weight])Return the coefficient of determination of the prediction.
set_params
(**params)Set the parameters of this estimator.
Predict regression target at each stage for X.
- apply(X)[source]¶
Apply trees in the ensemble to X, return leaf indices.
New in version 0.17.
- Parameters:
- X{array-like, sparse matrix} of shape (n_samples, n_features)
The input samples. Internally, its dtype will be converted to
dtype=np.float32
. If a sparse matrix is provided, it will be converted to a sparsecsr_matrix
.
- Returns:
- X_leavesarray-like of shape (n_samples, n_estimators)
For each datapoint x in X and for each tree in the ensemble, return the index of the leaf x ends up in each estimator.
- property base_estimator_¶
Estimator used to grow the ensemble.
- property feature_importances_¶
The impurity-based feature importances.
The higher, the more important the feature. The importance of a feature is computed as the (normalized) total reduction of the criterion brought by that feature. It is also known as the Gini importance.
Warning: impurity-based feature importances can be misleading for high cardinality features (many unique values). See
sklearn.inspection.permutation_importance
as an alternative.- Returns:
- feature_importances_ndarray of shape (n_features,)
The values of this array sum to 1, unless all trees are single node trees consisting of only the root node, in which case it will be an array of zeros.
- fit(X, y, sample_weight=None, monitor=None)[source]¶
Fit the gradient boosting model.
- Parameters:
- X{array-like, sparse matrix} of shape (n_samples, n_features)
The input samples. Internally, it will be converted to
dtype=np.float32
and if a sparse matrix is provided to a sparsecsr_matrix
.- yarray-like of shape (n_samples,)
Target values (strings or integers in classification, real numbers in regression) For classification, labels must correspond to classes.
- sample_weightarray-like of shape (n_samples,), default=None
Sample weights. If None, then samples are equally weighted. Splits that would create child nodes with net zero or negative weight are ignored while searching for a split in each node. In the case of classification, splits are also ignored if they would result in any single class carrying a negative weight in either child node.
- monitorcallable, default=None
The monitor is called after each iteration with the current iteration, a reference to the estimator and the local variables of
_fit_stages
as keyword argumentscallable(i, self, locals())
. If the callable returnsTrue
the fitting procedure is stopped. The monitor can be used for various things such as computing held-out estimates, early stopping, model introspect, and snapshoting.
- Returns:
- selfobject
Fitted estimator.
- get_params(deep=True)[source]¶
Get parameters for this estimator.
- Parameters:
- deepbool, default=True
If True, will return the parameters for this estimator and contained subobjects that are estimators.
- Returns:
- paramsdict
Parameter names mapped to their values.
- predict(X)[source]¶
Predict regression target for X.
- Parameters:
- X{array-like, sparse matrix} of shape (n_samples, n_features)
The input samples. Internally, it will be converted to
dtype=np.float32
and if a sparse matrix is provided to a sparsecsr_matrix
.
- Returns:
- yndarray of shape (n_samples,)
The predicted values.
- score(X, y, sample_weight=None)[source]¶
Return the coefficient of determination of the prediction.
The coefficient of determination \(R^2\) is defined as \((1 - \frac{u}{v})\), where \(u\) is the residual sum of squares
((y_true - y_pred)** 2).sum()
and \(v\) is the total sum of squares((y_true - y_true.mean()) ** 2).sum()
. The best possible score is 1.0 and it can be negative (because the model can be arbitrarily worse). A constant model that always predicts the expected value ofy
, disregarding the input features, would get a \(R^2\) score of 0.0.- Parameters:
- Xarray-like of shape (n_samples, n_features)
Test samples. For some estimators this may be a precomputed kernel matrix or a list of generic objects instead with shape
(n_samples, n_samples_fitted)
, wheren_samples_fitted
is the number of samples used in the fitting for the estimator.- yarray-like of shape (n_samples,) or (n_samples, n_outputs)
True values for
X
.- sample_weightarray-like of shape (n_samples,), default=None
Sample weights.
- Returns:
- scorefloat
\(R^2\) of
self.predict(X)
w.r.t.y
.
Notes
The \(R^2\) score used when calling
score
on a regressor usesmultioutput='uniform_average'
from version 0.23 to keep consistent with default value ofr2_score
. This influences thescore
method of all the multioutput regressors (except forMultiOutputRegressor
).
- set_params(**params)[source]¶
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.- Parameters:
- **paramsdict
Estimator parameters.
- Returns:
- selfestimator instance
Estimator instance.
- staged_predict(X)[source]¶
Predict regression target at each stage for X.
This method allows monitoring (i.e. determine error on testing set) after each stage.
- Parameters:
- X{array-like, sparse matrix} of shape (n_samples, n_features)
The input samples. Internally, it will be converted to
dtype=np.float32
and if a sparse matrix is provided to a sparsecsr_matrix
.
- Yields:
- ygenerator of ndarray of shape (n_samples,)
The predicted value of the input samples.
Examples using sklearn.ensemble.GradientBoostingRegressor
¶
Plot individual and voting regression predictions
Prediction Intervals for Gradient Boosting Regression