# Source code for gemseo_mlearning.quality_measures.me_measure

# 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
# License version 3 as published by the Free Software Foundation.
#
# 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
#    OTHER AUTHORS   - MACROSCOPIC CHANGES
r"""The maximum error measure to measure the quality of a regression algorithm.

The maximum error (ME) is defined by

.. math::

\operatorname{ME}(\hat{y})=\max_{1\leq i \leq n}\|\hat{y}_i-y_i\|,

where :math:\hat{y} are the predictions and :math:y are the data points.
"""
from __future__ import annotations

from gemseo.mlearning.quality_measures.error_measure import MLErrorMeasure
from gemseo.mlearning.regression.regression import MLRegressionAlgo
from numpy import ndarray

[docs]class MEMeasure(MLErrorMeasure):
"""The maximum error measure for machine learning."""

def __init__(  # noqa: D107
self,
algo: MLRegressionAlgo,
fit_transformers: bool = False,
) -> None:
super().__init__(algo, fit_transformers=fit_transformers)

def _compute_measure(
self,
outputs: ndarray,
predictions: ndarray,
multioutput: bool = True,
) -> float | ndarray:
if multioutput:
return abs(outputs - predictions).max(0)
else:
return abs(outputs - predictions).max()