sklearn.ensemble.AdaBoostRegressor

class sklearn.ensemble.AdaBoostRegressor(base_estimator=None, n_estimators=50, learning_rate=1.0, loss='linear', random_state=None)

An AdaBoost regressor.

An AdaBoost [1] regressor is a meta-estimator that begins by fitting a regressor on the original dataset and then fits additional copies of the regressor on the same dataset but where the weights of instances are adjusted according to the error of the current prediction. As such, subsequent regressors focus more on difficult cases.

This class implements the algorithm known as AdaBoost.R2 [2].

Read more in the User Guide.

Parameters:

base_estimator : object, optional (default=None)

The base estimator from which the boosted ensemble is built. Support for sample weighting is required. If None, then the base estimator is DecisionTreeRegressor(max_depth=3)

n_estimators : integer, optional (default=50)

The maximum number of estimators at which boosting is terminated. In case of perfect fit, the learning procedure is stopped early.

learning_rate : float, optional (default=1.)

Learning rate shrinks the contribution of each regressor by learning_rate. There is a trade-off between learning_rate and n_estimators.

loss : {‘linear’, ‘square’, ‘exponential’}, optional (default=’linear’)

The loss function to use when updating the weights after each boosting iteration.

random_state : int, RandomState instance or None, optional (default=None)

If int, random_state is the seed used by the random number generator; If RandomState instance, random_state is the random number generator; If None, the random number generator is the RandomState instance used by np.random.

Attributes:

estimators_ : list of classifiers

The collection of fitted sub-estimators.

estimator_weights_ : array of floats

Weights for each estimator in the boosted ensemble.

estimator_errors_ : array of floats

Regression error for each estimator in the boosted ensemble.

feature_importances_ : array of shape = [n_features]

Return the feature importances (the higher, the more important the feature).

See also

AdaBoostClassifier, GradientBoostingRegressor, sklearn.tree.DecisionTreeRegressor

References

[1]	Y. Freund, R. Schapire, “A Decision-Theoretic Generalization of on-Line Learning and an Application to Boosting”, 1995.

[2]	Drucker, “Improving Regressors using Boosting Techniques”, 1997.

Methods

fit(X, y[, sample_weight])	Build a boosted regressor from the training set (X, y).
get_params([deep])	Get parameters for this estimator.
predict(X)	Predict regression value for X.
score(X, y[, sample_weight])	Returns the coefficient of determination R^2 of the prediction.
set_params(**params)	Set the parameters of this estimator.
staged_predict(X)	Return staged predictions for X.
staged_score(X, y[, sample_weight])	Return staged scores for X, y.

__init__(base_estimator=None, n_estimators=50, learning_rate=1.0, loss='linear', random_state=None)

feature_importances_

Return the feature importances (the higher, the more important the

feature).

Returns:

feature_importances_ : array, shape = [n_features]

fit(X, y, sample_weight=None)

Build a boosted regressor from the training set (X, y).

Parameters:

X : {array-like, sparse matrix} of shape = [n_samples, n_features]

The training input samples. Sparse matrix can be CSC, CSR, COO, DOK, or LIL. DOK and LIL are converted to CSR.

y : array-like of shape = [n_samples]

The target values (real numbers).

sample_weight : array-like of shape = [n_samples], optional

Sample weights. If None, the sample weights are initialized to 1 / n_samples.

Returns:

self : object

get_params(deep=True)

Get parameters for this estimator.

Parameters:

deep : boolean, optional

If True, will return the parameters for this estimator and contained subobjects that are estimators.

Returns:

params : mapping of string to any

Parameter names mapped to their values.

predict(X)

Predict regression value for X.

The predicted regression value of an input sample is computed as the weighted median prediction of the classifiers in the ensemble.

Parameters:

X : {array-like, sparse matrix} of shape = [n_samples, n_features]

The training input samples. Sparse matrix can be CSC, CSR, COO, DOK, or LIL. DOK and LIL are converted to CSR.

Returns:

y : array of shape = [n_samples]

The predicted regression values.

score(X, y, sample_weight=None)

Returns the coefficient of determination R^2 of the prediction.

The coefficient R^2 is defined as (1 - 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 of y, disregarding the input features, would get a R^2 score of 0.0.

Parameters:

X : array-like, shape = (n_samples, n_features)

Test samples. For some estimators this may be a precomputed kernel matrix instead, shape = (n_samples, n_samples_fitted], where n_samples_fitted is the number of samples used in the fitting for the estimator.

y : array-like, shape = (n_samples) or (n_samples, n_outputs)

True values for X.

sample_weight : array-like, shape = [n_samples], optional

Sample weights.

Returns:

score : float

R^2 of self.predict(X) wrt. y.

set_params(**params)

Set the parameters of this estimator.

The method works on simple estimators as well as on nested objects (such as pipelines). The latter have parameters of the form <component>__<parameter> so that it’s possible to update each component of a nested object.

Returns:

self

staged_predict(X)

Return staged predictions for X.

The predicted regression value of an input sample is computed as the weighted median prediction of the classifiers in the ensemble.

This generator method yields the ensemble prediction after each iteration of boosting and therefore allows monitoring, such as to determine the prediction on a test set after each boost.

Parameters:

X : {array-like, sparse matrix} of shape = [n_samples, n_features]

The training input samples. Sparse matrix can be CSC, CSR, COO, DOK, or LIL. DOK and LIL are converted to CSR.

Returns:

y : generator of array, shape = [n_samples]

The predicted regression values.

staged_score(X, y, sample_weight=None)

Return staged scores for X, y.

This generator method yields the ensemble score after each iteration of boosting and therefore allows monitoring, such as to determine the score on a test set after each boost.

Parameters:

X : {array-like, sparse matrix} of shape = [n_samples, n_features]

The training input samples. Sparse matrix can be CSC, CSR, COO, DOK, or LIL. DOK and LIL are converted to CSR.

y : array-like, shape = [n_samples]

Labels for X.

sample_weight : array-like, shape = [n_samples], optional

Sample weights.

Returns:

z : float

Examples using sklearn.ensemble.AdaBoostRegressor

Decision Tree Regression with AdaBoost