Package mdp :: Package nodes :: Class MultiTaskLassoCVScikitsLearnNode
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Class MultiTaskLassoCVScikitsLearnNode



Multi-task L1/L2 Lasso with built-in cross-validation.

This node has been automatically generated by wrapping the ``sklearn.linear_model.coordinate_descent.MultiTaskLassoCV`` class
from the ``sklearn`` library.  The wrapped instance can be accessed
through the ``scikits_alg`` attribute.

The optimization objective for MultiTaskLasso is::


    (1 / (2 * n_samples)) * ||Y - XW||^Fro_2 + 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**

eps : float, optional
    Length of the path. ``eps=1e-3`` means that
    ``alpha_min / alpha_max = 1e-3``.

alphas : array-like, optional
    List of alphas where to compute the models.
    If not provided, set automaticlly.

n_alphas : int, optional
    Number of alphas along the regularization path

fit_intercept : boolean
    whether to calculate the intercept for this model. If set
    to false, no intercept will be used in calculations
    (e.g. data is expected to be already centered).

normalize : boolean, optional, default False
    If ``True``, the regressors X will be normalized before regression.

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``.

cv : int, cross-validation generator or an iterable, optional
    Determines the cross-validation splitting strategy.
    Possible inputs for cv are:


    - None, to use the default 3-fold cross-validation,
    - integer, to specify the number of folds.
    - An object to be used as a cross-validation generator.
    - An iterable yielding train/test splits.

    For integer/None inputs, :class:`KFold` is used.

    Refer :ref:`User Guide <cross_validation>` for the various
    cross-validation strategies that can be used here.

verbose : bool or integer
    Amount of verbosity.

n_jobs : integer, optional
    Number of CPUs to use during the cross validation. If ``-1``, use
    all the CPUs. Note that this is used only if multiple values for
    l1_ratio are given.

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.

random_state : int, RandomState instance, or None (default)
    The seed of the pseudo random number generator that selects
    a random feature to update. Useful only when selection is set to
    'random'.

**Attributes**

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

``coef_`` : array, shape (n_tasks, n_features)
    Parameter vector (W in the cost function formula).

``alpha_`` : float
    The amount of penalization chosen by cross validation

``mse_path_`` : array, shape (n_alphas, n_folds)
    mean square error for the test set on each fold, varying alpha

``alphas_`` : numpy array, shape (n_alphas,)
    The grid of alphas used for fitting.

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

See also

MultiTaskElasticNet
ElasticNetCV
MultiTaskElasticNetCV

**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.

Instance Methods [hide private]
 
__init__(self, input_dim=None, output_dim=None, dtype=None, **kwargs)
Multi-task L1/L2 Lasso with built-in cross-validation.
 
_execute(self, x)
 
_get_supported_dtypes(self)
Return the list of dtypes supported by this node. The types can be specified in any format allowed by numpy.dtype.
 
_stop_training(self, **kwargs)
Concatenate the collected data in a single array.
 
execute(self, x)
Predict using the linear model
 
stop_training(self, **kwargs)
Fit linear model with coordinate descent

Inherited from unreachable.newobject: __long__, __native__, __nonzero__, __unicode__, next

Inherited from object: __delattr__, __format__, __getattribute__, __hash__, __new__, __reduce__, __reduce_ex__, __setattr__, __sizeof__, __subclasshook__

    Inherited from Cumulator
 
_train(self, *args)
Collect all input data in a list.
 
train(self, *args)
Collect all input data in a list.
    Inherited from Node
 
__add__(self, other)
 
__call__(self, x, *args, **kwargs)
Calling an instance of Node is equivalent to calling its execute method.
 
__repr__(self)
repr(x)
 
__str__(self)
str(x)
 
_check_input(self, x)
 
_check_output(self, y)
 
_check_train_args(self, x, *args, **kwargs)
 
_get_train_seq(self)
 
_if_training_stop_training(self)
 
_inverse(self, x)
 
_pre_execution_checks(self, x)
This method contains all pre-execution checks.
 
_pre_inversion_checks(self, y)
This method contains all pre-inversion checks.
 
_refcast(self, x)
Helper function to cast arrays to the internal dtype.
 
_set_dtype(self, t)
 
_set_input_dim(self, n)
 
_set_output_dim(self, n)
 
copy(self, protocol=None)
Return a deep copy of the node.
 
get_current_train_phase(self)
Return the index of the current training phase.
 
get_dtype(self)
Return dtype.
 
get_input_dim(self)
Return input dimensions.
 
get_output_dim(self)
Return output dimensions.
 
get_remaining_train_phase(self)
Return the number of training phases still to accomplish.
 
get_supported_dtypes(self)
Return dtypes supported by the node as a list of dtype objects.
 
has_multiple_training_phases(self)
Return True if the node has multiple training phases.
 
inverse(self, y, *args, **kwargs)
Invert y.
 
is_training(self)
Return True if the node is in the training phase, False otherwise.
 
save(self, filename, protocol=-1)
Save a pickled serialization of the node to filename. If filename is None, return a string.
 
set_dtype(self, t)
Set internal structures' dtype.
 
set_input_dim(self, n)
Set input dimensions.
 
set_output_dim(self, n)
Set output dimensions.
Static Methods [hide private]
 
is_invertible()
Return True if the node can be inverted, False otherwise.
 
is_trainable()
Return True if the node can be trained, False otherwise.
Properties [hide private]

Inherited from object: __class__

    Inherited from Node
  _train_seq
List of tuples:
  dtype
dtype
  input_dim
Input dimensions
  output_dim
Output dimensions
  supported_dtypes
Supported dtypes
Method Details [hide private]

__init__(self, input_dim=None, output_dim=None, dtype=None, **kwargs)
(Constructor)

 

Multi-task L1/L2 Lasso with built-in cross-validation.

This node has been automatically generated by wrapping the ``sklearn.linear_model.coordinate_descent.MultiTaskLassoCV`` class
from the ``sklearn`` library.  The wrapped instance can be accessed
through the ``scikits_alg`` attribute.

The optimization objective for MultiTaskLasso is::


    (1 / (2 * n_samples)) * ||Y - XW||^Fro_2 + 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**

eps : float, optional
    Length of the path. ``eps=1e-3`` means that
    ``alpha_min / alpha_max = 1e-3``.

alphas : array-like, optional
    List of alphas where to compute the models.
    If not provided, set automaticlly.

n_alphas : int, optional
    Number of alphas along the regularization path

fit_intercept : boolean
    whether to calculate the intercept for this model. If set
    to false, no intercept will be used in calculations
    (e.g. data is expected to be already centered).

normalize : boolean, optional, default False
    If ``True``, the regressors X will be normalized before regression.

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``.

cv : int, cross-validation generator or an iterable, optional
    Determines the cross-validation splitting strategy.
    Possible inputs for cv are:


    - None, to use the default 3-fold cross-validation,
    - integer, to specify the number of folds.
    - An object to be used as a cross-validation generator.
    - An iterable yielding train/test splits.

    For integer/None inputs, :class:`KFold` is used.

    Refer :ref:`User Guide <cross_validation>` for the various
    cross-validation strategies that can be used here.

verbose : bool or integer
    Amount of verbosity.

n_jobs : integer, optional
    Number of CPUs to use during the cross validation. If ``-1``, use
    all the CPUs. Note that this is used only if multiple values for
    l1_ratio are given.

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.

random_state : int, RandomState instance, or None (default)
    The seed of the pseudo random number generator that selects
    a random feature to update. Useful only when selection is set to
    'random'.

**Attributes**

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

``coef_`` : array, shape (n_tasks, n_features)
    Parameter vector (W in the cost function formula).

``alpha_`` : float
    The amount of penalization chosen by cross validation

``mse_path_`` : array, shape (n_alphas, n_folds)
    mean square error for the test set on each fold, varying alpha

``alphas_`` : numpy array, shape (n_alphas,)
    The grid of alphas used for fitting.

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

See also

MultiTaskElasticNet
ElasticNetCV
MultiTaskElasticNetCV

**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.

Overrides: object.__init__

_execute(self, x)

 
Overrides: Node._execute

_get_supported_dtypes(self)

 
Return the list of dtypes supported by this node. The types can be specified in any format allowed by numpy.dtype.
Overrides: Node._get_supported_dtypes

_stop_training(self, **kwargs)

 
Concatenate the collected data in a single array.
Overrides: Node._stop_training

execute(self, x)

 

Predict using the linear model

This node has been automatically generated by wrapping the sklearn.linear_model.coordinate_descent.MultiTaskLassoCV class from the sklearn library. The wrapped instance can be accessed through the scikits_alg attribute.

Parameters

X : {array-like, sparse matrix}, shape = (n_samples, n_features)
Samples.

Returns

C : array, shape = (n_samples,)
Returns predicted values.
Overrides: Node.execute

is_invertible()
Static Method

 
Return True if the node can be inverted, False otherwise.
Overrides: Node.is_invertible
(inherited documentation)

is_trainable()
Static Method

 
Return True if the node can be trained, False otherwise.
Overrides: Node.is_trainable

stop_training(self, **kwargs)

 

Fit linear model with coordinate descent

This node has been automatically generated by wrapping the sklearn.linear_model.coordinate_descent.MultiTaskLassoCV class from the sklearn library. The wrapped instance can be accessed through the scikits_alg attribute.

Fit is on grid of alphas and best alpha estimated by cross-validation.

Parameters

X : {array-like}, shape (n_samples, n_features)
Training data. Pass directly as float64, Fortran-contiguous data to avoid unnecessary memory duplication. If y is mono-output, X can be sparse.
y : array-like, shape (n_samples,) or (n_samples, n_targets)
Target values
Overrides: Node.stop_training