PyLogisticRegression

Struct PyLogisticRegression 

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pub struct PyLogisticRegression { /* private fields */ }
Expand description

Logistic Regression (aka logit, MaxEnt) classifier.

In the multiclass case, the training algorithm uses the one-vs-rest (OvR) scheme if the ‘multi_class’ option is set to ‘ovr’, and uses the cross-entropy loss if the ‘multi_class’ option is set to ‘multinomial’. (Currently the ‘multinomial’ option is supported only by the ‘lbfgs’, ‘sag’, ‘saga’ and ‘newton-cg’ solvers.)

This class implements regularized logistic regression using various solvers. Note that regularization is applied by default. It can handle both dense and sparse input. Use C-ordered arrays containing 64-bit floats for optimal performance; any other input format will be converted (and copied).

The ‘newton-cg’, ‘sag’, and ‘lbfgs’ solvers support only L2 regularization with primal formulation, or no regularization. The Elastic-Net regularization is only supported by the ‘saga’ solver.

§Parameters

penalty : {‘l1’, ‘l2’, ‘elasticnet’}, default=‘l2’ Specify the norm of the penalty:

- 'l2': add a L2 penalty term and it is the default choice;
- 'l1': add a L1 penalty term;
- 'elasticnet': both L1 and L2 penalty terms are added.

tol : float, default=1e-4 Tolerance for stopping criteria.

C : float, default=1.0 Inverse of regularization strength; must be a positive float. Like in support vector machines, smaller values specify stronger regularization.

fit_intercept : bool, default=True Specifies if a constant (a.k.a. bias or intercept) should be added to the decision function.

class_weight : dict or ‘balanced’, default=None Weights associated with classes in the form {class_label: weight}. 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))``.

random_state : int, default=None Used when solver == ‘sag’, ‘saga’ to shuffle the data. See :term:Glossary <random_state> for details.

solver : {‘lbfgs’, ‘newton-cg’, ‘sag’, ‘saga’}, default=‘lbfgs’

Algorithm to use in the optimization problem. Default is 'lbfgs'.
To choose a solver, you might want to consider the following aspects:

    - For small datasets, 'lbfgs' is a good choice, whereas 'sag'
      and 'saga' are faster for large ones;
    - For multiclass problems, only 'newton-cg', 'sag', 'saga' and
      'lbfgs' handle multinomial loss.

max_iter : int, default=100 Maximum number of iterations taken for the solvers to converge.

multi_class : {‘auto’, ‘ovr’, ‘multinomial’}, default=‘auto’ If the option chosen is ‘ovr’, then a binary problem is fit for each label. For ‘multinomial’ the loss minimised is the multinomial loss fit across the entire probability distribution, even when the data is binary. ‘auto’ selects ‘ovr’ if the data is binary, and otherwise selects ‘multinomial’.

warm_start : bool, default=False When set to True, reuse the solution of the previous call to fit as initialization, otherwise, just erase the previous solution. See :term:the Glossary <warm_start>.

n_jobs : int, default=None Number of CPU cores used when parallelizing over classes if multi_class=‘ovr’“. None means 1 unless in a :obj:joblib.parallel_backend context. -1 means using all processors. See :term:Glossary <n_jobs> for more details.

l1_ratio : float, default=None The Elastic-Net mixing parameter, with 0 <= l1_ratio <= 1. Only used if penalty='elasticnet'. Setting l1_ratio=0 is equivalent to using penalty='l2', while setting l1_ratio=1 is equivalent to using penalty='l1'. For 0 < l1_ratio <1, the penalty is a combination of L1 and L2.

§Attributes

classes_ : ndarray of shape (n_classes, ) A list of class labels known to the classifier.

coef_ : ndarray of shape (1, n_features) or (n_classes, n_features) Coefficient of the features in the decision function.

`coef_` is of shape (1, n_features) when the given problem is binary.

intercept_ : float or ndarray of shape (n_classes,) Intercept (a.k.a. bias) added to the decision function.

If `fit_intercept` is set to False, the intercept is set to zero.
`intercept_` is of shape (1,) when the given problem is binary.

n_features_in_ : int Number of features seen during :term:fit.

§Examples

from sklears_python import LogisticRegression import numpy as np X = np.array([[-1, -1], [-2, -1], [1, 1], [2, 1]]) y = np.array([0, 0, 1, 1]) clf = LogisticRegression(random_state=0).fit(X, y) clf.predict(X[:2, :]) array([0, 0]) clf.predict_proba(X[:2, :]) array([[…]]) clf.score(X, y) 1.0

§Notes

The underlying implementation uses optimized solvers from sklears-linear.

§References

L-BFGS-B – Software for Large-scale Bound-constrained Optimization Ciyou Zhu, Richard Byrd, Jorge Nocedal and Jose Luis Morales. http://users.iems.northwestern.edu/~nocedal/lbfgsb.html

SAG – Mark Schmidt, Nicolas Le Roux, and Francis Bach Minimizing Finite Sums with the Stochastic Average Gradient https://hal.inria.fr/hal-00860051/document

SAGA – Defazio, A., Bach F. & Lacoste-Julien S. (2014). SAGA: A Fast Incremental Gradient Method With Support for Non-Strongly Convex Composite Objectives https://arxiv.org/abs/1407.0202

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impl<'py> IntoPyObject<'py> for PyLogisticRegression

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type Target = PyLogisticRegression

The Python output type
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type Output = Bound<'py, <PyLogisticRegression as IntoPyObject<'py>>::Target>

The smart pointer type to use. Read more
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type Error = PyErr

The type returned in the event of a conversion error.
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fn into_pyobject( self, py: Python<'py>, ) -> Result<<Self as IntoPyObject<'_>>::Output, <Self as IntoPyObject<'_>>::Error>

Performs the conversion.
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impl PyClass for PyLogisticRegression

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type Frozen = False

Whether the pyclass is frozen. Read more
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impl PyClassImpl for PyLogisticRegression

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const IS_BASETYPE: bool = false

#[pyclass(subclass)]
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const IS_SUBCLASS: bool = false

#[pyclass(extends=…)]
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const IS_MAPPING: bool = false

#[pyclass(mapping)]
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const IS_SEQUENCE: bool = false

#[pyclass(sequence)]
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const IS_IMMUTABLE_TYPE: bool = false

#[pyclass(immutable_type)]
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type BaseType = PyAny

Base class
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type ThreadChecker = SendablePyClass<PyLogisticRegression>

This handles following two situations: Read more
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type PyClassMutability = <<PyAny as PyClassBaseType>::PyClassMutability as PyClassMutability>::MutableChild

Immutable or mutable
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type Dict = PyClassDummySlot

Specify this class has #[pyclass(dict)] or not.
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type WeakRef = PyClassDummySlot

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type BaseNativeType = PyAny

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fn items_iter() -> PyClassItemsIter

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fn doc(py: Python<'_>) -> PyResult<&'static CStr>

Rendered class doc
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fn lazy_type_object() -> &'static LazyTypeObject<Self>

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fn dict_offset() -> Option<isize>

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fn weaklist_offset() -> Option<isize>

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impl PyClassNewTextSignature<PyLogisticRegression> for PyClassImplCollector<PyLogisticRegression>

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fn new_text_signature(self) -> Option<&'static str>

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impl<'a, 'py> PyFunctionArgument<'a, 'py, false> for &'a PyLogisticRegression

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type Holder = Option<PyRef<'py, PyLogisticRegression>>

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fn extract( obj: &'a Bound<'py, PyAny>, holder: &'a mut Self::Holder, ) -> PyResult<Self>

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impl<'a, 'py> PyFunctionArgument<'a, 'py, false> for &'a mut PyLogisticRegression

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type Holder = Option<PyRefMut<'py, PyLogisticRegression>>

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fn extract( obj: &'a Bound<'py, PyAny>, holder: &'a mut Self::Holder, ) -> PyResult<Self>

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impl PyMethods<PyLogisticRegression> for PyClassImplCollector<PyLogisticRegression>

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fn py_methods(self) -> &'static PyClassItems

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impl PyTypeInfo for PyLogisticRegression

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const NAME: &'static str = "LogisticRegression"

Class name.
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const MODULE: Option<&'static str> = ::core::option::Option::None

Module name, if any.
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fn type_object_raw(py: Python<'_>) -> *mut PyTypeObject

Returns the PyTypeObject instance for this type.
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fn type_object(py: Python<'_>) -> Bound<'_, PyType>

Returns the safe abstraction over the type object.
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fn is_type_of(object: &Bound<'_, PyAny>) -> bool

Checks if object is an instance of this type or a subclass of this type.
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fn is_exact_type_of(object: &Bound<'_, PyAny>) -> bool

Checks if object is an instance of this type.
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impl DerefToPyAny for PyLogisticRegression

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