mojolearn.svm#
Support vector machines.
SVC and SVR are kernel machines trained by SMO. LinearSVC and
LinearSVR are linear machines trained by the quasi-Newton solver of
LogisticRegression (L-BFGS, or OWL-QN for an l1 penalty) on the hinge
family of losses. The linear machines minimize:
mean_i loss(y_i, x_i @ w + b) + penalty(w) / (C * n_samples)
where penalty is the l1 norm or half the squared l2 norm: scikit-learn’s
LinearSVC / LinearSVR objective divided by C * n_samples. The
intercept is never penalized. tol is the gradient tolerance; the
objective-change tolerance is 0.1 * tol. This follows cuML’s
LinearSVC and LinearSVR.
Classes
|
C-support vector classification. |
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Epsilon-support vector regression. |
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Linear support vector classification. |
|
Linear support vector regression. |
- class mojolearn.svm.SVC(*, C=1.0, kernel='rbf', degree=3, gamma='auto', coef0=0.0, tol=0.001, cache_size=1024.0, max_iter=-1, nochange_steps=1000, verbose=False, output_type=None, random_state=None, class_weight=None, decision_function_shape='ovo', probability=False, break_ties=False)[source]#
Bases:
NumericModeMixinC-support vector classification.
Follows scikit-learn’s
SVC, with cuML’sSVCas the reference implementation: an SMO solver with the kernel matrices computed on the GPU. Two classes train one machine; more train one machine per class pair (one-vs-one, libsvm’s scheme) and predict by vote, ties going to the lowest class.Xis converted to float32 (sparse input is densified), and non-finite values inXraise an error naming the first bad cell. Supports the'identical'(default) and'fast'numeric modes;'fast'is available on Apple GPUs only.Defaults that differ from scikit-learn:
gamma='auto'(scikit-learn uses ‘scale’);decision_function_shape='ovo'(scikit-learn uses ‘ovr’);cache_sizeis the prediction buffer in MiB and does not affect training. There is noshrinkingparameter. Every parameter is keyword-only. A parameter that would be ignored is refused rather than accepted:degreewith any kernel but ‘poly’,coef0with any kernel but ‘poly’ or ‘sigmoid’,random_statewithoutprobability=True, and a truthyverboseor anyoutput_typeall raiseNotImplementedError.- Parameters:
C (float, default 1.0) – Regularization penalty. Must be finite and positive.
kernel ({‘linear’, ‘rbf’, ‘poly’, ‘sigmoid’, ‘precomputed’}, default ‘rbf’) – The kernel. ‘poly’ is
(gamma * <x, y> + coef0) ** degree; ‘sigmoid’ istanh(gamma * <x, y> + coef0). With ‘precomputed’,Xis the n x n kernel matrix at fit and the q x n kernel against the training rows at predict;support_vectors_then holds the support rows of the kernel matrix (scikit-learn’s is empty). Other names, including ‘polynomial’ and ‘tanh’, raise.degree (int, default 3) – Degree of the ‘poly’ kernel, an integer in [0, 32]. Must stay 3 with any other kernel.
gamma (float, ‘auto’ or ‘scale’, default ‘auto’) – Kernel coefficient, a finite float >= 0. ‘auto’ is
1 / n_features; ‘scale’ is1 / (n_features * X.var()), computed from the exact variance of the float32 data, so it can differ from scikit-learn’s float32X.var()in the last bits.coef0 (float, default 0.0) – Independent term of the ‘poly’ and ‘sigmoid’ kernels, finite. Must stay 0.0 with any other kernel.
tol (float, default 1e-3) – Stopping tolerance. Must be finite and positive.
cache_size (float, default 1024.0) – Size in MiB of the kernel tile buffer used at prediction, which sets the prediction batch size; results do not depend on it. It has no training-time kernel cache role here. Must be positive and finite.
max_iter (int, default -1) – Cap on the total inner SMO iterations (cuML’s meaning); -1 means no limit. 0 and values below -1 are refused.
nochange_steps (int, default 1000) – Follows cuML’s
nochange_stepsconvergence rule. Must be >= 0.verbose (bool, default False) – Only False is accepted; this estimator prints no log lines.
output_type (None, default None) – Only None is accepted; results are mojolearn Arrays.
random_state (int or None, default None) – With
probability=True, the seed of the cross-validation fold shuffle (None means 0); an int in [0, 2**64). Refused otherwise.class_weight (dict, ‘balanced’ or None, default None) – Per-class weights; row i’s penalty becomes
C * class_weight[y_i] * sample_weight_i.decision_function_shape ({‘ovo’, ‘ovr’}, default ‘ovo’) – With more than two classes,
decision_functionreturns the pairwise (n, K(K-1)/2) form (‘ovo’) or scikit-learn’s voted (n, K) form (‘ovr’). No effect with two classes.probability (bool, default False) – Fit Platt scaling (libsvm’s method: a seeded 5-fold cross-validation per class pair, then a sigmoid fit and, for more than two classes, pairwise coupling) so that
predict_probaandpredict_log_probaare available. The fold shuffle differs from libsvm’s, so the probabilities are not bit-equal to libsvm’s.break_ties (bool, default False) – With
decision_function_shape='ovr'and more than two classes, predict the argmax of the ‘ovr’ decision function instead of the vote. Must be False with ‘ovo’ (scikit-learn’s rule).numeric_mode ({‘identical’, ‘fast’} or None, default None) – Numeric mode for this estimator; None uses the process default.
- Variables:
classes_ (list of shape (K,)) – The distinct labels, sorted ascending, as Python scalars.
classes_[1]is the positive class of the binary decision function.support_ (Array of shape (n_SV,), int32) – Indices of the support vectors in the training data.
support_vectors_ (Array of shape (n_SV, n_features), float32) – The support vectors.
dual_coef_ (Array of shape (1, n_SV) or (K - 1, n_SV), float32) – Dual coefficients, in scikit-learn’s layout.
intercept_ (Array of shape (1,) or (K(K-1)/2,), float32) – Intercepts of the decision functions.
coef_ (Array of shape (1, n_features) or (K(K-1)/2, n_features), float32) – Primal weights
dual_coef_ @ support_vectors_, only forkernel='linear'; raisesAttributeErrorotherwise, as scikit-learn does.n_support_ (int, or Array of shape (K,), int32) – Number of support vectors. With two classes this is a single count (cuML’s form; scikit-learn returns a per-class array); with more, the per-class counts.
n_iter_ (int, or Array of shape (K(K-1)/2,), int32) – Total inner SMO iterations, per class pair with more than two classes.
probB_ (probA_,) – Platt sigmoid parameters per class pair, when
probability=True.n_features_in_ (int) – Number of features seen during
fit.
Notes
With more than two classes the fitted arrays follow scikit-learn’s layout and orientation: a pair’s decision is positive toward its lower class,
support_is grouped by class (ascending within a class),dual_coef_is (K - 1, n_SV) andintercept_is (K(K-1)/2,).predictreturns an int64 or float64 Array for integer or float labels, and a Python list for other label types.Examples
>>> import numpy as np, mojolearn >>> rng = np.random.default_rng(0) >>> X = rng.random((1000, 8), dtype=np.float32) >>> y = (X[:, 0] + X[:, 1] > 1.0).astype(np.int64) >>> model = mojolearn.SVC(C=1.0, kernel="rbf").fit(X, y) >>> labels = model.predict(X[:5])
- fit(X, y, sample_weight=None)[source]#
Fit the support vector classifier.
- Parameters:
X (array-like of shape (n_samples, n_features)) – Training data, converted to float32. With
kernel='precomputed', the square n x n kernel matrix.y (array-like of shape (n_samples,)) – Class labels; two or more distinct values.
sample_weight (array-like of shape (n_samples,), default None) – Per-sample weights; row i’s penalty becomes
C * w_i(times its class weight). None weights every sample equally.
- Returns:
self (SVC) – The fitted estimator.
- property coef_#
Primal weights, only for
kernel='linear'.Shape (1, n_features) for two classes and (K(K-1)/2, n_features) for K > 2 classes, float32. Raises
AttributeErrorfor other kernels or beforefit.
- decision_function(X)[source]#
Evaluate the decision function for the rows of
X.- Parameters:
X (array-like of shape (n_rows, n_features)) – Query data. With
kernel='precomputed', the kernel between the queries and the training rows, shape (n_rows, n_samples).- Returns:
Array – Two classes: shape (n_rows,), the raw
sum_j K(x, sv_j) dual_j + b, positive towardclasses_[1]. More classes withdecision_function_shape='ovo': shape (n_rows, K(K-1)/2), float32, one column per class pair, positive toward the pair’s lower class. With ‘ovr’: shape (n_rows, K), float64, scikit-learn’s vote-plus-confidence transform of the pairwise values.
- predict(X)[source]#
Predict class labels for the rows of
X.Two classes:
classes_[1]where the decision function is >= 0, otherwiseclasses_[0]. More classes: one-vs-one vote, the most votes winning and ties going to the lowest class; withbreak_ties=True(anddecision_function_shape='ovr'), the argmax of the ‘ovr’ decision function, the first maximum winning.- Parameters:
X (array-like of shape (n_rows, n_features)) – Query data (the cross-kernel with
kernel='precomputed').- Returns:
Array or list of shape (n_rows,) – Labels from
classes_: an int64 or float64 Array for integer or float labels, a Python list otherwise.
- predict_proba(X)[source]#
Class probabilities from the fitted Platt scaling.
Follows libsvm: each class pair’s decision value goes through its fitted sigmoid (clamped to [1e-7, 1 - 1e-7]); with more than two classes the pairwise probabilities are then coupled.
- Parameters:
X (array-like of shape (n_rows, n_features)) – Query data.
- Returns:
Array of shape (n_rows, K), float64 – Probabilities, columns in
classes_order.- Raises:
AttributeError – If the model was fitted with
probability=False.
- predict_log_proba(X)[source]#
Natural log of
predict_proba(X).- Parameters:
X (array-like of shape (n_rows, n_features)) – Query data.
- Returns:
Array of shape (n_rows, K), float64 – Log probabilities, columns in
classes_order.- Raises:
AttributeError – If the model was fitted with
probability=False.
- score(X, y)[source]#
Mean accuracy of
predict(X)againsty.- Parameters:
X (array-like of shape (n_rows, n_features)) – Query data.
y (array-like of shape (n_rows,)) – True labels.
- Returns:
float – Fraction of rows predicted correctly.
- save(path)[source]#
Save the fitted model to
pathas an.npzfile.The file holds the fitted arrays, the hyperparameters, the gamma resolved at fit and the numeric mode. Load it with
SVC.load, or predict from it on a CPU without a GPU withmojolearn.host_model(path).- Parameters:
path (str or path-like) – Destination file.
- Raises:
RuntimeError – If the model has not been fitted.
- classmethod load(path)[source]#
Load a model written by
save.Every array is read at its saved dtype, never cast.
- Parameters:
path (str or path-like) – File written by
SVC.save.- Returns:
SVC – A fitted model, ready to predict, with the saved numeric mode.
- Raises:
ValueError – If the file is not a valid saved
SVC.
- class mojolearn.svm.SVR(*, kernel='rbf', degree=3, gamma='auto', coef0=0.0, tol=0.001, C=1.0, epsilon=0.1, cache_size=1024.0, verbose=False, max_iter=-1, nochange_steps=1000, output_type=None)[source]#
Bases:
NumericModeMixinEpsilon-support vector regression.
Follows scikit-learn’s
SVR, with cuML’sSVRas the reference implementation: an SMO solver with the kernel matrices computed on the GPU. Rows whose prediction falls withinepsilonof the target cost nothing and never become support vectors, so raisingepsiloncan only remove rows from the support set.Xis converted to float32 (sparse input is densified); non-finite values inXoryraise an error naming the first bad cell. Supports the'identical'(default) and'fast'numeric modes;'fast'is available on Apple GPUs only.The parameters keep scikit-learn’s order and meaning, with two defaults that differ:
gamma='auto'(scikit-learn uses ‘scale’) andcache_size=1024.0, which here is the prediction buffer in MiB and does not affect training (scikit-learn’s 200 is a training cache). There is noshrinkingparameter; passing it raisesTypeError.nochange_stepsis cuML’s. Every parameter is keyword-only. A parameter that would be ignored is refused:degreewith any kernel but ‘poly’,coef0with any kernel but ‘poly’ or ‘sigmoid’, and a truthyverboseor anyoutput_typeraiseNotImplementedError.- Parameters:
kernel ({‘linear’, ‘rbf’, ‘poly’, ‘sigmoid’, ‘precomputed’}, default ‘rbf’) – The kernel. ‘poly’ is
(gamma * <x, y> + coef0) ** degree; ‘sigmoid’ istanh(gamma * <x, y> + coef0). With ‘precomputed’,Xis the n x n kernel matrix at fit and the q x n kernel against the training rows at predict. Other names, including ‘polynomial’ and ‘tanh’, raise.degree (int, default 3) – Degree of the ‘poly’ kernel, an integer in [0, 32]. Must stay 3 with any other kernel.
gamma (float, ‘auto’ or ‘scale’, default ‘auto’) – Kernel coefficient, a finite float >= 0. ‘auto’ is
1 / n_features; ‘scale’ is1 / (n_features * X.var()), computed from the exact variance of the float32 data, so it can differ from scikit-learn’s float32X.var()in the last bits.coef0 (float, default 0.0) – Independent term of the ‘poly’ and ‘sigmoid’ kernels, finite. Must stay 0.0 with any other kernel.
tol (float, default 1e-3) – Stopping tolerance. Must be finite and positive.
C (float, default 1.0) – Regularization penalty. Must be finite and positive.
epsilon (float, default 0.1) – Half-width of the epsilon-insensitive tube. Must be finite and >= 0; an invalid value is refused when
fitruns.cache_size (float, default 1024.0) – Size in MiB of the kernel tile buffer used at prediction, which sets the prediction batch size; results do not depend on it. Must be positive and finite.
verbose (bool, default False) – Only False is accepted; this estimator prints no log lines.
max_iter (int, default -1) – Cap on the total inner SMO iterations (cuML’s meaning); -1 means no limit. 0 and values below -1 are refused.
nochange_steps (int, default 1000) – Follows cuML’s
nochange_stepsconvergence rule. Must be >= 0.output_type (None, default None) – Only None is accepted; results are mojolearn Arrays.
numeric_mode ({‘identical’, ‘fast’} or None, default None) – Numeric mode for this estimator; None uses the process default.
- Variables:
support_ (Array of shape (n_SV,), int32) – Indices of the support vectors in the training data.
support_vectors_ (Array of shape (n_SV, n_features), float32) – The support vectors (rows of the kernel matrix with
kernel='precomputed').dual_coef_ (Array of shape (1, n_SV), float32) –
alpha_i - alpha*_ifor each support vector, in scikit-learn’s layout.intercept_ (Array of shape (1,), float32) – Intercept of the decision function.
coef_ (Array of shape (1, n_features), float32) – Primal weights
dual_coef_ @ support_vectors_, only forkernel='linear'; raisesAttributeErrorotherwise, as scikit-learn does.n_support_ (int) – Number of support vectors (cuML’s scalar form; scikit-learn’s is an array).
n_iter_ (int) – Total inner SMO iterations.
n_features_in_ (int) – Number of features seen during
fit.
Examples
>>> import numpy as np, mojolearn >>> rng = np.random.default_rng(0) >>> X = rng.random((1000, 8), dtype=np.float32) >>> y = X.sum(axis=1) >>> model = mojolearn.SVR(C=1.0, epsilon=0.1).fit(X, y) >>> pred = model.predict(X[:5])
- fit(X, y, sample_weight=None)[source]#
Fit the support vector regressor.
- Parameters:
X (array-like of shape (n_samples, n_features)) – Training data, converted to float32. With
kernel='precomputed', the square n x n kernel matrix.y (array-like of shape (n_samples,)) – Finite target values.
sample_weight (array-like of shape (n_samples,), default None) – Per-sample weights; row i’s penalty becomes
C * w_i. None weights every sample equally.
- Returns:
self (SVR) – The fitted estimator.
- property coef_#
Primal weights, shape (1, n_features), float32.
Only for
kernel='linear'; raisesAttributeErrorfor other kernels or beforefit.
- predict(X)[source]#
Predict target values for the rows of
X.- Parameters:
X (array-like of shape (n_rows, n_features)) – Query data. With
kernel='precomputed', the kernel between the queries and the training rows, shape (n_rows, n_samples).- Returns:
Array of shape (n_rows,), float32 –
sum_j K(x, sv_j) dual_j + bfor each row.
- score(X, y)[source]#
Coefficient of determination R^2 of
predict(X)againsty.scikit-learn’s definition,
1 - SS_res / SS_tot, accumulated in float64. A constantyscores 1.0 when predicted exactly and 0.0 otherwise.- Parameters:
X (array-like of shape (n_rows, n_features)) – Query data.
y (array-like of shape (n_rows,)) – True target values.
- Returns:
float – The R^2 score.
- save(path)[source]#
Save the fitted model to
pathas an.npzfile.The file holds the fitted arrays, the hyperparameters, the gamma resolved at fit and the numeric mode. Load it with
SVR.load, or predict from it on a CPU without a GPU withmojolearn.host_model(path).- Parameters:
path (str or path-like) – Destination file.
- Raises:
RuntimeError – If the model has not been fitted.
- classmethod load(path)[source]#
Load a model written by
save.Every array is read at its saved dtype, never cast.
- Parameters:
path (str or path-like) – File written by
SVR.save.- Returns:
SVR – A fitted model, ready to predict, with the saved numeric mode.
- Raises:
ValueError – If the file is not a valid saved
SVR.
- class mojolearn.svm.LinearSVC(*, penalty='l2', loss='squared_hinge', C=1.0, fit_intercept=True, penalized_intercept=False, class_weight=None, tol=0.0001, max_iter=1000, linesearch_max_iter=100, lbfgs_memory=5, multi_class='ovr')[source]#
Bases:
_LinearSVMBaseLinear support vector classification.
Minimizes the hinge or squared hinge loss plus an l2 or l1 penalty (see the
mojolearn.svmmodule description for the objective). Two classes fit one machine; more classes fit one machine per class against the rest, in class order. The intercept is never penalized.Xis read as float32.yis a 1-D array of labels;classes_is the sorted unique labels. Invalid parameter values raiseValueError.- Parameters:
penalty ({‘l2’, ‘l1’}, default ‘l2’) – The regularization term;
'l1'uses OWL-QN and gives exact zeros.loss ({‘squared_hinge’, ‘hinge’}, default ‘squared_hinge’) – The data-fit loss.
C (float, default 1.0) – Inverse regularization strength, > 0.
fit_intercept (bool, default True) – Whether to fit an (unpenalized) intercept.
penalized_intercept (bool, default False) – Only False is supported; True raises
NotImplementedError.class_weight (None) – Must be None; anything else raises
NotImplementedError.tol (float, default 1e-4) – Gradient tolerance, > 0.
max_iter (int, default 1000) – Maximum number of solver iterations per machine.
linesearch_max_iter (int, default 100) – Maximum number of line-search steps per iteration.
lbfgs_memory (int, default 5) – Number of past updates kept by L-BFGS.
multi_class ({‘ovr’}, default ‘ovr’) – One-vs-rest, the only supported value.
numeric_mode ({‘identical’, ‘fast’} or None, default None) – The numeric mode for this estimator; None uses the process default (see
mojolearn.set_numeric_mode).'fast'is for Apple GPUs.
- Variables:
classes_ (list) – The sorted class labels.
coef_ (array of shape (1, n_features) or (n_classes, n_features), float32) – Coefficients: one row for two classes, one row per class for more.
intercept_ (array of shape (1,) or (n_classes,), float32) – Intercepts; zeros when
fit_interceptis False.n_iter_ (array of shape (1,), int64) – The largest iteration count over the machines.
objective_ (float or list of float) – The final objective value (one per machine when there are more than two classes).
retcode_ (int or list of int) – The solver’s return code, as on
LogisticRegression(one per machine when there are more than two classes).n_features_in_ (int) – The number of features seen in
fit.input_copied_ (bool) – Whether
fithad to copyXto float32 C order.
Examples
>>> import numpy as np, mojolearn >>> rng = np.random.default_rng(0) >>> X = rng.random((1000, 8), dtype=np.float32) >>> y = (X[:, 0] + X[:, 1] > 1.0).astype(np.int64) >>> clf = mojolearn.LinearSVC(C=10.0).fit(X, y) >>> labels = clf.predict(X)
- fit(X, y, sample_weight=None)[source]#
Fit the classifier.
- Parameters:
X (array-like of shape (n_samples, n_features)) – Training data, read as float32.
y (array-like of shape (n_samples,)) – Class labels, at least two distinct values. A 2-D
y, a single class or a length mismatch raisesValueError.sample_weight (None) – Must be None; weights raise
NotImplementedError.
- Returns:
self (LinearSVC) – The fitted estimator.
- decision_function(X)[source]#
Return the linear scores
X @ coef_.T + intercept_.- Parameters:
X (array-like of shape (n_samples, n_features)) – Samples, read as float32.
- Returns:
scores (array of shape (n_samples,) or (n_samples, n_classes), float32) – For two classes, one score per row (positive means
classes_[1]); for more, one score per class.- Raises:
ValueError – If the model is not fitted, or
Xhas a different number of features than the training data.
- predict(X)[source]#
Predict class labels.
For two classes a row is
classes_[1]when its decision score is positive andclasses_[0]otherwise. For more classes it is the class with the highest score; a tie goes to the class that comes first inclasses_.- Parameters:
X (array-like of shape (n_samples, n_features)) – Samples, read as float32.
- Returns:
labels (array of shape (n_samples,) or list) – An int64 array for integer labels, a float64 array for float labels, and a Python list for any other label type.
- class mojolearn.svm.LinearSVR(*, epsilon=0.0, penalty='l1', loss='epsilon_insensitive', C=1.0, fit_intercept=True, penalized_intercept=False, tol=0.0001, max_iter=1000, linesearch_max_iter=100, lbfgs_memory=5)[source]#
Bases:
_LinearSVMBaseLinear support vector regression.
Minimizes the epsilon-insensitive or squared epsilon-insensitive loss plus an l1 or l2 penalty (see the
mojolearn.svmmodule description for the objective). The intercept is never penalized.The default penalty is
'l1'(cuML’s default), which uses OWL-QN and gives exact zeros. scikit-learn’sLinearSVRis l2 only: passpenalty='l2'for its objective.Xis read as float32;ymust be one-dimensional. Invalid parameter values raiseValueError.- Parameters:
epsilon (float, default 0.0) – Width of the insensitive zone, finite and >= 0.
penalty ({‘l1’, ‘l2’}, default ‘l1’) – The regularization term.
loss ({‘epsilon_insensitive’, ‘squared_epsilon_insensitive’}, default ‘epsilon_insensitive’) – The data-fit loss.
C (float, default 1.0) – Inverse regularization strength, > 0.
fit_intercept (bool, default True) – Whether to fit an (unpenalized) intercept.
penalized_intercept (bool, default False) – Only False is supported; True raises
NotImplementedError.tol (float, default 1e-4) – Gradient tolerance, > 0.
max_iter (int, default 1000) – Maximum number of solver iterations.
linesearch_max_iter (int, default 100) – Maximum number of line-search steps per iteration.
lbfgs_memory (int, default 5) – Number of past updates kept by L-BFGS.
numeric_mode ({‘identical’, ‘fast’} or None, default None) – The numeric mode for this estimator; None uses the process default (see
mojolearn.set_numeric_mode).'fast'is for Apple GPUs.
- Variables:
coef_ (array of shape (n_features,), float32) – The fitted coefficients.
intercept_ (float) – The fitted intercept; 0.0 when
fit_interceptis False.n_iter_ (array of shape (1,), int64) – The number of solver iterations run.
objective_ (float) – The final value of the minimized objective.
retcode_ (int) – The solver’s return code, as on
LogisticRegression.n_features_in_ (int) – The number of features seen in
fit.input_copied_ (bool) – Whether
fithad to copyXto float32 C order.
Examples
>>> import numpy as np, mojolearn >>> rng = np.random.default_rng(0) >>> X = rng.random((1000, 8), dtype=np.float32) >>> y = X @ np.arange(8, dtype=np.float32) + 1.0 >>> model = mojolearn.LinearSVR(penalty="l2", epsilon=0.1).fit(X, y) >>> pred = model.predict(X)
- fit(X, y, sample_weight=None)[source]#
Fit the regressor.
- Parameters:
X (array-like of shape (n_samples, n_features)) – Training data, read as float32.
y (array-like of shape (n_samples,)) – Target values. A 2-D
yor a length mismatch raisesValueError.sample_weight (None) – Must be None; weights raise
NotImplementedError.
- Returns:
self (LinearSVR) – The fitted estimator.
- predict(X)[source]#
Predict with the fitted model.
- Parameters:
X (array-like of shape (n_samples, n_features)) – Samples, read as float32.
- Returns:
y_pred (array of shape (n_samples,), float32) –
X @ coef_ + intercept_.- Raises:
ValueError – If the model is not fitted, or
Xhas a different number of features than the training data.
- score(X, y)[source]#
Return the coefficient of determination R^2 of the prediction.
- Parameters:
X (array-like of shape (n_samples, n_features)) – Test samples.
y (array-like of shape (n_samples,)) – True target values.
- Returns:
score (float) –
1 - SS_res / SS_tot, computed in float64. A constantyscores 0.0.