Source code for infomeasure.estimators.mutual_information.grassberger
"""Module for the Grassberger mutual information estimator."""
from abc import ABC
from numpy import issubdtype, integer
from infomeasure.estimators.base import (
MutualInformationEstimator,
ConditionalMutualInformationEstimator,
)
from ..entropy.grassberger import GrassbergerEntropyEstimator
from infomeasure import Config
from infomeasure.utils.types import LogBaseType
[docs]
class BaseGrassbergerMIEstimator(ABC):
r"""Base class for Grassberger mutual information estimators.
Attributes
----------
*data : array-like, shape (n_samples,)
The data used to estimate the (conditional) mutual information.
You can pass an arbitrary number of data arrays as positional arguments.
For conditional mutual information, only two data arrays are allowed.
cond : array-like, optional
The conditional data used to estimate the conditional mutual information.
offset : int, optional
Number of positions to shift the data arrays relative to each other.
Delay/lag/shift between the variables. Default is no shift.
Not compatible with the ``cond`` parameter / conditional MI.
"""
def __init__(
self,
*data,
cond=None,
offset: int = 0,
base: LogBaseType = Config.get("base"),
**kwargs,
):
r"""Initialize the Grassberger estimator with specific parameters.
Parameters
----------
*data : array-like, shape (n_samples,)
The data used to estimate the (conditional) mutual information.
You can pass an arbitrary number of data arrays as positional arguments.
For conditional mutual information, only two data arrays are allowed.
cond : array-like, optional
The conditional data used to estimate the conditional mutual information.
offset : int, optional
Number of positions to shift the X and Y data arrays relative to each other.
Delay/lag/shift between the variables. Default is no shift.
Not compatible with the ``cond`` parameter / conditional MI.
"""
if cond is None:
super().__init__(*data, offset=offset, base=base, **kwargs)
else:
super().__init__(
*data,
cond=cond,
offset=offset,
base=base,
**kwargs,
)
[docs]
class GrassbergerMIEstimator(BaseGrassbergerMIEstimator, MutualInformationEstimator):
r"""Estimator for the Grassberger mutual information.
Grassberger mutual information estimator using the entropy combination formula.
Attributes
----------
*data : array-like, shape (n_samples,)
The data used to estimate the mutual information.
You can pass an arbitrary number of data arrays as positional arguments.
offset : int, optional
Number of positions to shift the data arrays relative to each other.
Delay/lag/shift between the variables. Default is no shift.
Notes
-----
This estimator uses the Grassberger entropy estimator to compute mutual
information through the entropy combination formula.
Note that the entropy combination formula is used (_generic_mi_from_entropy)
not a dedicated implementation as other MI might have.
See Also
--------
infomeasure.estimators.entropy.grassberger.GrassbergerEntropyEstimator
Grassberger entropy estimator.
"""
def _calculate(self):
"""Calculate the mutual information of the data.
Returns
-------
float
Grassberger mutual information of the data.
"""
return self._generic_mi_from_entropy(
estimator=GrassbergerEntropyEstimator,
kwargs={"base": self.base},
)
[docs]
class GrassbergerCMIEstimator(
BaseGrassbergerMIEstimator, ConditionalMutualInformationEstimator
):
r"""Estimator for the conditional Grassberger mutual information.
Grassberger conditional mutual information estimator using the entropy combination formula.
Attributes
----------
*data : array-like, shape (n_samples,)
The data used to estimate the conditional mutual information.
You can pass an arbitrary number of data arrays as positional arguments.
cond : array-like
The conditional data used to estimate the conditional mutual information.
offset : int, optional
Number of positions to shift the data arrays relative to each other.
Delay/lag/shift between the variables. Default is no shift.
Notes
-----
This estimator uses the Grassberger entropy estimator to compute conditional
mutual information through the entropy combination formula.
Note that the entropy combination formula is used (_generic_cmi_from_entropy)
not a dedicated implementation as other MI might have.
See Also
--------
infomeasure.estimators.entropy.grassberger.GrassbergerEntropyEstimator
Grassberger entropy estimator.
"""
def _calculate(self):
"""Calculate the conditional mutual information of the data.
Returns
-------
float
Conditional Grassberger mutual information of the data.
"""
return self._generic_cmi_from_entropy(
estimator=GrassbergerEntropyEstimator,
kwargs={"base": self.base},
)