package sklearn

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type t
val of_pyobject : Py.Object.t -> t
val to_pyobject : t -> Py.Object.t
val create : ?alpha:float -> ?fit_intercept:bool -> ?normalize:bool -> ?copy_X:bool -> ?max_iter:int -> ?tol:float -> ?warm_start:bool -> ?random_state:[ `Int of int | `RandomState of Py.Object.t | `None ] -> ?selection:string -> unit -> t

Multi-task Lasso model trained with L1/L2 mixed-norm as regularizer.

The optimization objective for Lasso is::

(1 / (2 * n_samples)) * ||Y - XW||^2_Fro + alpha * ||W||_21

Where::

||W||_21 = \sum_i \sqrt\sum_j w_{ij^2

}

i.e. the sum of norm of each row.

Read more in the :ref:`User Guide <multi_task_lasso>`.

Parameters ---------- alpha : float, optional Constant that multiplies the L1/L2 term. Defaults to 1.0

fit_intercept : boolean 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 centered).

normalize : boolean, optional, default False This parameter is ignored when ``fit_intercept`` is set to False. If True, the regressors X will be normalized before regression by subtracting the mean and dividing by the l2-norm. If you wish to standardize, please use :class:`sklearn.preprocessing.StandardScaler` before calling ``fit`` on an estimator with ``normalize=False``.

copy_X : boolean, optional, default True If ``True``, X will be copied; else, it may be overwritten.

max_iter : int, optional The maximum number of iterations

tol : float, optional The tolerance for the optimization: if the updates are smaller than ``tol``, the optimization code checks the dual gap for optimality and continues until it is smaller than ``tol``.

warm_start : bool, optional 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>`.

random_state : int, RandomState instance or None, optional, default None The seed of the pseudo random number generator that selects a random feature to update. 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`. Used when ``selection`` == 'random'.

selection : str, default 'cyclic' If set to 'random', a random coefficient is updated every iteration rather than looping over features sequentially by default. This (setting to 'random') often leads to significantly faster convergence especially when tol is higher than 1e-4

Attributes ---------- coef_ : array, shape (n_tasks, n_features) Parameter vector (W in the cost function formula). Note that ``coef_`` stores the transpose of ``W``, ``W.T``.

intercept_ : array, shape (n_tasks,) independent term in decision function.

n_iter_ : int number of iterations run by the coordinate descent solver to reach the specified tolerance.

Examples -------- >>> from sklearn import linear_model >>> clf = linear_model.MultiTaskLasso(alpha=0.1) >>> clf.fit([0,0], [1, 1], [2, 2], [0, 0], [1, 1], [2, 2]) MultiTaskLasso(alpha=0.1) >>> print(clf.coef_) [0.89393398 0. ] [0.89393398 0. ] >>> print(clf.intercept_) 0.10606602 0.10606602

See also -------- MultiTaskLasso : Multi-task L1/L2 Lasso with built-in cross-validation Lasso MultiTaskElasticNet

Notes ----- The algorithm used to fit the model is coordinate descent.

To avoid unnecessary memory duplication the X argument of the fit method should be directly passed as a Fortran-contiguous numpy array.

val fit : x:Ndarray.t -> y:Py.Object.t -> t -> t

Fit MultiTaskElasticNet model with coordinate descent

Parameters ---------- X : ndarray, shape (n_samples, n_features) Data y : ndarray, shape (n_samples, n_tasks) Target. Will be cast to X's dtype if necessary

Notes -----

Coordinate descent is an algorithm that considers each column of data at a time hence it will automatically convert the X input as a Fortran-contiguous numpy array if necessary.

To avoid memory re-allocation it is advised to allocate the initial data in memory directly using that format.

val get_params : ?deep:bool -> t -> Py.Object.t

Get parameters for this estimator.

Parameters ---------- deep : bool, default=True 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.

val predict : x:[ `Ndarray of Ndarray.t | `SparseMatrix of Csr_matrix.t ] -> t -> Ndarray.t

Predict using the linear model.

Parameters ---------- X : array_like or sparse matrix, shape (n_samples, n_features) Samples.

Returns ------- C : array, shape (n_samples,) Returns predicted values.

val score : ?sample_weight:Ndarray.t -> x:Ndarray.t -> y:Ndarray.t -> t -> float

Return the coefficient of determination R^2 of the prediction.

The coefficient R^2 is defined as (1 - u/v), where u is the residual sum of squares ((y_true - y_pred) ** 2).sum() and v is the total sum of squares ((y_true - y_true.mean()) ** 2).sum(). The best possible score is 1.0 and it can be negative (because the model can be arbitrarily worse). A constant model that always predicts the expected value of y, disregarding the input features, would get a R^2 score of 0.0.

Parameters ---------- X : array-like of shape (n_samples, n_features) Test samples. For some estimators this may be a precomputed kernel matrix or a list of generic objects instead, shape = (n_samples, n_samples_fitted), where n_samples_fitted is the number of samples used in the fitting for the estimator.

y : array-like of shape (n_samples,) or (n_samples, n_outputs) True values for X.

sample_weight : array-like of shape (n_samples,), default=None Sample weights.

Returns ------- score : float R^2 of self.predict(X) wrt. y.

Notes ----- The R2 score used when calling ``score`` on a regressor will use ``multioutput='uniform_average'`` from version 0.23 to keep consistent with :func:`~sklearn.metrics.r2_score`. This will influence the ``score`` method of all the multioutput regressors (except for :class:`~sklearn.multioutput.MultiOutputRegressor`). To specify the default value manually and avoid the warning, please either call :func:`~sklearn.metrics.r2_score` directly or make a custom scorer with :func:`~sklearn.metrics.make_scorer` (the built-in scorer ``'r2'`` uses ``multioutput='uniform_average'``).

val set_params : ?params:(string * Py.Object.t) list -> t -> t

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 ---------- **params : dict Estimator parameters.

Returns ------- self : object Estimator instance.

val coef_ : t -> Ndarray.t

Attribute coef_: see constructor for documentation

val intercept_ : t -> Ndarray.t

Attribute intercept_: see constructor for documentation

val n_iter_ : t -> int

Attribute n_iter_: see constructor for documentation

val to_string : t -> string

Print the object to a human-readable representation.

val show : t -> string

Print the object to a human-readable representation.

val pp : Stdlib.Format.formatter -> t -> unit

Pretty-print the object to a formatter.

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