sklearn.linear_model.RANSACRegressor

class sklearn.linear_model.RANSACRegressor(base_estimator=None, min_samples=None, residual_threshold=None, is_data_valid=None, is_model_valid=None, max_trials=100, max_skips=inf, stop_n_inliers=inf, stop_score=inf, stop_probability=0.99, loss=’absolute_loss’, random_state=None) [source]

RANSAC (RANdom SAmple Consensus) algorithm.

RANSAC is an iterative algorithm for the robust estimation of parameters from a subset of inliers from the complete data set. More information can be found in the general documentation of linear models.

A detailed description of the algorithm can be found in the documentation of the linear_model sub-package.

Read more in the User Guide.

Parameters:

base_estimator : object, optional Base estimator object which implements the following methods: fit(X, y): Fit model to given training data and target values. score(X, y): Returns the mean accuracy on the given test data, which is used for the stop criterion defined by stop_score. Additionally, the score is used to decide which of two equally large consensus sets is chosen as the better one. predict(X): Returns predicted values using the linear model, which is used to compute residual error using loss function. If base_estimator is None, then base_estimator=sklearn.linear_model.LinearRegression() is used for target values of dtype float. Note that the current implementation only supports regression estimators. min_samples : int (>= 1) or float ([0, 1]), optional Minimum number of samples chosen randomly from original data. Treated as an absolute number of samples for min_samples >= 1, treated as a relative number ceil(min_samples * X.shape[0]) for min_samples < 1. This is typically chosen as the minimal number of samples necessary to estimate the given base_estimator. By default a sklearn.linear_model.LinearRegression() estimator is assumed and min_samples is chosen as X.shape[1] + 1. residual_threshold : float, optional Maximum residual for a data sample to be classified as an inlier. By default the threshold is chosen as the MAD (median absolute deviation) of the target values y. is_data_valid : callable, optional This function is called with the randomly selected data before the model is fitted to it: is_data_valid(X, y). If its return value is False the current randomly chosen sub-sample is skipped. is_model_valid : callable, optional This function is called with the estimated model and the randomly selected data: is_model_valid(model, X, y). If its return value is False the current randomly chosen sub-sample is skipped. Rejecting samples with this function is computationally costlier than with is_data_valid. is_model_valid should therefore only be used if the estimated model is needed for making the rejection decision. max_trials : int, optional Maximum number of iterations for random sample selection. max_skips : int, optional Maximum number of iterations that can be skipped due to finding zero inliers or invalid data defined by is_data_valid or invalid models defined by is_model_valid. New in version 0.19. stop_n_inliers : int, optional Stop iteration if at least this number of inliers are found. stop_score : float, optional Stop iteration if score is greater equal than this threshold. stop_probability : float in range [0, 1], optional RANSAC iteration stops if at least one outlier-free set of the training data is sampled in RANSAC. This requires to generate at least N samples (iterations): N >= log(1 - probability) / log(1 - e**m) where the probability (confidence) is typically set to high value such as 0.99 (the default) and e is the current fraction of inliers w.r.t. the total number of samples. loss : string, callable, optional, default “absolute_loss” String inputs, “absolute_loss” and “squared_loss” are supported which find the absolute loss and squared loss per sample respectively. If loss is a callable, then it should be a function that takes two arrays as inputs, the true and predicted value and returns a 1-D array with the i-th value of the array corresponding to the loss on X[i]. If the loss on a sample is greater than the residual_threshold, then this sample is classified as an outlier. random_state : int, RandomState instance or None, optional, default None The generator used to initialize the centers. 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:

estimator_ : object Best fitted model (copy of the base_estimator object). n_trials_ : int Number of random selection trials until one of the stop criteria is met. It is always <= max_trials. inlier_mask_ : bool array of shape [n_samples] Boolean mask of inliers classified as True. n_skips_no_inliers_ : int Number of iterations skipped due to finding zero inliers. New in version 0.19. n_skips_invalid_data_ : int Number of iterations skipped due to invalid data defined by is_data_valid. New in version 0.19. n_skips_invalid_model_ : int Number of iterations skipped due to an invalid model defined by is_model_valid. New in version 0.19.

References

[1]	https://en.wikipedia.org/wiki/RANSAC

[2]	https://www.sri.com/sites/default/files/publications/ransac-publication.pdf

[3]	http://www.bmva.org/bmvc/2009/Papers/Paper355/Paper355.pdf

Examples

>>> from sklearn.linear_model import RANSACRegressor
>>> from sklearn.datasets import make_regression
>>> X, y = make_regression(
...     n_samples=200, n_features=2, noise=4.0, random_state=0)
>>> reg = RANSACRegressor(random_state=0).fit(X, y)
>>> reg.score(X, y) 
0.9885...
>>> reg.predict(X[:1,])
array([-31.9417...])

Methods

fit(X, y[, sample_weight])	Fit estimator using RANSAC algorithm.
get_params([deep])	Get parameters for this estimator.
predict(X)	Predict using the estimated model.
score(X, y)	Returns the score of the prediction.
set_params(**params)	Set the parameters of this estimator.

__init__(base_estimator=None, min_samples=None, residual_threshold=None, is_data_valid=None, is_model_valid=None, max_trials=100, max_skips=inf, stop_n_inliers=inf, stop_score=inf, stop_probability=0.99, loss=’absolute_loss’, random_state=None) [source]

fit(X, y, sample_weight=None) [source]

Fit estimator using RANSAC algorithm.

Parameters:	X : array-like or sparse matrix, shape [n_samples, n_features] Training data. y : array-like, shape = [n_samples] or [n_samples, n_targets] Target values. sample_weight : array-like, shape = [n_samples] Individual weights for each sample raises error if sample_weight is passed and base_estimator fit method does not support it.
Raises:	ValueError If no valid consensus set could be found. This occurs if is_data_valid and is_model_valid return False for all max_trials randomly chosen sub-samples.

get_params(deep=True) [source]

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) [source]

Predict using the estimated model.

This is a wrapper for estimator_.predict(X).

Parameters:	X : numpy array of shape [n_samples, n_features]
Returns:	y : array, shape = [n_samples] or [n_samples, n_targets] Returns predicted values.

score(X, y) [source]

Returns the score of the prediction.

This is a wrapper for estimator_.score(X, y).

Parameters:	X : numpy array or sparse matrix of shape [n_samples, n_features] Training data. y : array, shape = [n_samples] or [n_samples, n_targets] Target values.
Returns:	z : float Score of the prediction.

set_params(**params) [source]

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

Examples using sklearn.linear_model.RANSACRegressor