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 one-vs-the-rest scheme.
Read more in the :ref:`User Guide <svm_classification>`.
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.
dual : bool, default=True Select the algorithm to either solve the dual or primal optimization problem. Prefer dual=False when n_samples > n_features.
tol : float, default=1e-4 Tolerance for stopping criteria.
C : float, 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 multi-class strategy if `y` contains more than two classes. ``'ovr'`` trains n_classes one-vs-rest classifiers, while ``'crammer_singer'`` optimizes a joint objective over all classes. While `crammer_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_intercept : bool, 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_scaling : float, 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_weight : dict or 'balanced', default=None Set the parameter C of class i to ``class_weighti
*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 as ``n_samples / (n_classes * np.bincount(y))``.
verbose : int, default=0 Enable verbose output. Note that this setting takes advantage of a per-process runtime setting in liblinear that, if enabled, may not work properly in a multithreaded context.
random_state : int or RandomState instance, default=None Controls the pseudo random number generation for shuffling the data for the dual coordinate descent (if ``dual=True``). When ``dual=False`` the underlying implementation of :class:`LinearSVC` is not random and ``random_state`` has no effect on the results. Pass an int for reproducible output across multiple function calls. See :term:`Glossary <random_state>`.
max_iter : int, 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 from ``raw_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 non-linear but its SMO algorithm does not scale to large number of samples as LinearSVC does.
Furthermore SVC multi-class 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 :class:`sklearn.multiclass.OneVsRestClassifier` wrapper.
Finally SVC can fit dense data without memory copy if the input is C-contiguous. 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 :ref:`differences from liblinear <liblinear_differences>` in the narrative documentation.
References ---------- `LIBLINEAR: A Library for Large Linear Classification <https://www.csie.ntu.edu.tw/~cjlin/liblinear/>`__
Examples -------- >>> from sklearn.svm import LinearSVC >>> from sklearn.pipeline import make_pipeline >>> from sklearn.preprocessing import StandardScaler >>> from sklearn.datasets import make_classification >>> X, y = make_classification(n_features=4, random_state=0) >>> clf = make_pipeline(StandardScaler(), ... LinearSVC(random_state=0, tol=1e-5)) >>> clf.fit(X, y) Pipeline(steps=('standardscaler', StandardScaler()),
('linearsvc', LinearSVC(random_state=0, tol=1e-05))
)
>>> print(clf.named_steps'linearsvc'
.coef_) [0.141... 0.526... 0.679... 0.493...]
>>> print(clf.named_steps'linearsvc'
.intercept_) 0.1693...
>>> print(clf.predict([0, 0, 0, 0]
)) 1