# Source code for gemseo.mlearning.transform.scaler.standard_scaler

# -*- coding: utf-8 -*-
# Copyright 2021 IRT Saint Exupéry, https://www.irt-saintexupery.com
#
# This program is free software; you can redistribute it and/or
# modify it under the terms of the GNU Lesser General Public
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
# Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with this program; if not, write to the Free Software Foundation,
# Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.

# Contributors:
#    INITIAL AUTHORS - initial API and implementation and/or initial
#                         documentation
#        :author: Matthias De Lozzo, Syver Doving Agdestein
#    OTHER AUTHORS   - MACROSCOPIC CHANGES
"""Scaling a variable with a statistical linear transformation.

The :class:.StandardScaler class implements the Standard scaling method
applying to some parameter :math:z:

.. math::

\\bar{z} := \\text{offset} + \\text{coefficient}\\times z
= \\frac{z-\\text{mean}(z)}{\\text{std}(z)}

where :math:\\text{offset}=-\\text{mean}(z)/\\text{std}(z) and
:math:\\text{coefficient}=1/\\text{std}(z).

In this standard scaling method,
the scaling operation linearly transforms the original variable math:z
such that in the scaled space,
the original data have zero mean and unit standard deviation.
"""
from __future__ import division, unicode_literals

from numpy import mean, ndarray, std
from past.utils import old_div

from gemseo.mlearning.transform.scaler.scaler import Scaler
from gemseo.mlearning.transform.transformer import TransformerFitOptionType

[docs]class StandardScaler(Scaler): """Standard scaler.""" def __init__( self, name="StandardScaler", # type: str offset=0.0, # type: float coefficient=1.0, # type: float ): # type: (...) -> None """ Args: name: A name for this transformer. offset: The offset of the linear transformation. coefficient: The coefficient of the linear transformation. """ super(StandardScaler, self).__init__(name, offset, coefficient)
[docs] def fit( self, data, # type: ndarray *args # type: TransformerFitOptionType ): # type: (...) -> None average = mean(data, 0) std_ = std(data, 0) self.offset = old_div(-average, std_) self.coefficient = 1.0 / std_