sklearn.svm
.LinearSVC¶

class
sklearn.svm.
LinearSVC
(penalty='l2', loss='squared_hinge', dual=True, tol=0.0001, C=1.0, multi_class='ovr', fit_intercept=True, intercept_scaling=1, class_weight=None, verbose=0, random_state=None, max_iter=1000)[source]¶ Linear Support Vector Classification.
Similar to SVC with parameter kernel=’linear’, but implemented in terms of liblinear rather than libsvm, so it has more flexibility in the choice of penalties and loss functions and should scale better to large numbers of samples.
This class supports both dense and sparse input and the multiclass support is handled according to a onevstherest scheme.
Read more in the User Guide.
 Parameters
 penalty{‘l1’, ‘l2’}, default=’l2’
Specifies the norm used in the penalization. The ‘l2’ penalty is the standard used in SVC. The ‘l1’ leads to
coef_
vectors that are sparse. loss{‘hinge’, ‘squared_hinge’}, default=’squared_hinge’
Specifies the loss function. ‘hinge’ is the standard SVM loss (used e.g. by the SVC class) while ‘squared_hinge’ is the square of the hinge loss.
 dualbool, default=True
Select the algorithm to either solve the dual or primal optimization problem. Prefer dual=False when n_samples > n_features.
 tolfloat, default=1e4
Tolerance for stopping criteria.
 Cfloat, default=1.0
Regularization parameter. The strength of the regularization is inversely proportional to C. Must be strictly positive.
 multi_class{‘ovr’, ‘crammer_singer’}, default=’ovr’
Determines the multiclass strategy if
y
contains more than two classes."ovr"
trains n_classes onevsrest classifiers, while"crammer_singer"
optimizes a joint objective over all classes. Whilecrammer_singer
is interesting from a theoretical perspective as it is consistent, it is seldom used in practice as it rarely leads to better accuracy and is more expensive to compute. If"crammer_singer"
is chosen, the options loss, penalty and dual will be ignored. fit_interceptbool, default=True
Whether to calculate the intercept for this model. If set to false, no intercept will be used in calculations (i.e. data is expected to be already centered).
 intercept_scalingfloat, default=1
When self.fit_intercept is True, instance vector x becomes
[x, self.intercept_scaling]
, i.e. a “synthetic” feature with constant value equals to intercept_scaling is appended to the instance vector. The intercept becomes intercept_scaling * synthetic feature weight Note! the synthetic feature weight is subject to l1/l2 regularization as all other features. To lessen the effect of regularization on synthetic feature weight (and therefore on the intercept) intercept_scaling has to be increased. class_weightdict or ‘balanced’, default=None
Set the parameter C of class i to
class_weight[i]*C
for SVC. If not given, all classes are supposed to have weight one. The “balanced” mode uses the values of y to automatically adjust weights inversely proportional to class frequencies in the input data asn_samples / (n_classes * np.bincount(y))
. verboseint, default=0
Enable verbose output. Note that this setting takes advantage of a perprocess runtime setting in liblinear that, if enabled, may not work properly in a multithreaded context.
 random_stateint or RandomState instance, default=None
Controls the pseudo random number generation for shuffling the data for the dual coordinate descent (if
dual=True
). Whendual=False
the underlying implementation ofLinearSVC
is not random andrandom_state
has no effect on the results. Pass an int for reproducible output across multiple function calls. See Glossary. max_iterint, default=1000
The maximum number of iterations to be run.
 Attributes
 coef_ndarray of shape (1, n_features) if n_classes == 2 else (n_classes, n_features)
Weights assigned to the features (coefficients in the primal problem). This is only available in the case of a linear kernel.
coef_
is a readonly property derived fromraw_coef_
that follows the internal memory layout of liblinear. intercept_ndarray of shape (1,) if n_classes == 2 else (n_classes,)
Constants in decision function.
 classes_ndarray of shape (n_classes,)
The unique classes labels.
 n_iter_int
Maximum number of iterations run across all classes.
See also
SVC
Implementation of Support Vector Machine classifier using libsvm: the kernel can be nonlinear but its SMO algorithm does not scale to large number of samples as LinearSVC does. Furthermore SVC multiclass mode is implemented using one vs one scheme while LinearSVC uses one vs the rest. It is possible to implement one vs the rest with SVC by using the
sklearn.multiclass.OneVsRestClassifier
wrapper. Finally SVC can fit dense data without memory copy if the input is Ccontiguous. Sparse data will still incur memory copy though.sklearn.linear_model.SGDClassifier
SGDClassifier can optimize the same cost function as LinearSVC by adjusting the penalty and loss parameters. In addition it requires less memory, allows incremental (online) learning, and implements various loss functions and regularization regimes.
Notes
The underlying C implementation uses a random number generator to select features when fitting the model. It is thus not uncommon to have slightly different results for the same input data. If that happens, try with a smaller
tol
parameter.The underlying implementation, liblinear, uses a sparse internal representation for the data that will incur a memory copy.
Predict output may not match that of standalone liblinear in certain cases. See differences from liblinear in the narrative documentation.
References
LIBLINEAR: A Library for Large Linear Classification
Examples
>>> from sklearn.svm import LinearSVC >>> from sklearn.datasets import make_classification >>> X, y = make_classification(n_features=4, random_state=0) >>> clf = LinearSVC(random_state=0, tol=1e5) >>> clf.fit(X, y) LinearSVC(random_state=0, tol=1e05) >>> print(clf.coef_) [[0.085... 0.394... 0.498... 0.375...]] >>> print(clf.intercept_) [0.284...] >>> print(clf.predict([[0, 0, 0, 0]])) [1]
Methods
decision_function
(self, X)Predict confidence scores for samples.
densify
(self)Convert coefficient matrix to dense array format.
fit
(self, X, y[, sample_weight])Fit the model according to the given training data.
get_params
(self[, deep])Get parameters for this estimator.
predict
(self, X)Predict class labels for samples in X.
score
(self, X, y[, sample_weight])Return the mean accuracy on the given test data and labels.
set_params
(self, \*\*params)Set the parameters of this estimator.
sparsify
(self)Convert coefficient matrix to sparse format.

__init__
(self, penalty='l2', loss='squared_hinge', dual=True, tol=0.0001, C=1.0, multi_class='ovr', fit_intercept=True, intercept_scaling=1, class_weight=None, verbose=0, random_state=None, max_iter=1000)[source]¶ Initialize self. See help(type(self)) for accurate signature.

decision_function
(self, X)[source]¶ Predict confidence scores for samples.
The confidence score for a sample is the signed distance of that sample to the hyperplane.
 Parameters
 Xarray_like or sparse matrix, shape (n_samples, n_features)
Samples.
 Returns
 array, shape=(n_samples,) if n_classes == 2 else (n_samples, n_classes)
Confidence scores per (sample, class) combination. In the binary case, confidence score for self.classes_[1] where >0 means this class would be predicted.

densify
(self)[source]¶ Convert coefficient matrix to dense array format.
Converts the
coef_
member (back) to a numpy.ndarray. This is the default format ofcoef_
and is required for fitting, so calling this method is only required on models that have previously been sparsified; otherwise, it is a noop. Returns
 self
Fitted estimator.

fit
(self, X, y, sample_weight=None)[source]¶ Fit the model according to the given training data.
 Parameters
 X{arraylike, sparse matrix} of shape (n_samples, n_features)
Training vector, where n_samples in the number of samples and n_features is the number of features.
 yarraylike of shape (n_samples,)
Target vector relative to X.
 sample_weightarraylike of shape (n_samples,), default=None
Array of weights that are assigned to individual samples. If not provided, then each sample is given unit weight.
 Returns
 selfobject
An instance of the estimator.

get_params
(self, 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
 paramsmapping of string to any
Parameter names mapped to their values.

predict
(self, X)[source]¶ Predict class labels for samples in X.
 Parameters
 Xarray_like or sparse matrix, shape (n_samples, n_features)
Samples.
 Returns
 Carray, shape [n_samples]
Predicted class label per sample.

score
(self, X, y, sample_weight=None)[source]¶ Return the mean accuracy on the given test data and labels.
In multilabel classification, this is the subset accuracy which is a harsh metric since you require for each sample that each label set be correctly predicted.
 Parameters
 Xarraylike of shape (n_samples, n_features)
Test samples.
 yarraylike of shape (n_samples,) or (n_samples, n_outputs)
True labels for X.
 sample_weightarraylike of shape (n_samples,), default=None
Sample weights.
 Returns
 scorefloat
Mean accuracy of self.predict(X) wrt. y.

set_params
(self, **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. Parameters
 **paramsdict
Estimator parameters.
 Returns
 selfobject
Estimator instance.

sparsify
(self)[source]¶ Convert coefficient matrix to sparse format.
Converts the
coef_
member to a scipy.sparse matrix, which for L1regularized models can be much more memory and storageefficient than the usual numpy.ndarray representation.The
intercept_
member is not converted. Returns
 self
Fitted estimator.
Notes
For nonsparse models, i.e. when there are not many zeros in
coef_
, this may actually increase memory usage, so use this method with care. A rule of thumb is that the number of zero elements, which can be computed with(coef_ == 0).sum()
, must be more than 50% for this to provide significant benefits.After calling this method, further fitting with the partial_fit method (if any) will not work until you call densify.