Source code for infomeasure.estimators.mutual_information.chao_wang_jost
"""Module for the ChaoWangJost mutual information estimator."""
from abc import ABC
from numpy import issubdtype, integer
from infomeasure.estimators.base import (
MutualInformationEstimator,
ConditionalMutualInformationEstimator,
)
from ..entropy.chao_wang_jost import ChaoWangJostEntropyEstimator
from infomeasure import Config
from infomeasure.utils.types import LogBaseType
[docs]
class BaseChaoWangJostMIEstimator(ABC):
r"""Base class for ChaoWangJost 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 ChaoWangJost 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 ChaoWangJostMIEstimator(BaseChaoWangJostMIEstimator, MutualInformationEstimator):
r"""Estimator for the ChaoWangJost mutual information.
ChaoWangJost 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 ChaoWangJost 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.chao_wang_jost.ChaoWangJostEntropyEstimator
ChaoWangJost entropy estimator.
"""
def _calculate(self):
"""Calculate the mutual information of the data.
Returns
-------
float
ChaoWangJost mutual information of the data.
"""
return self._generic_mi_from_entropy(
estimator=ChaoWangJostEntropyEstimator,
kwargs={"base": self.base},
)
[docs]
class ChaoWangJostCMIEstimator(
BaseChaoWangJostMIEstimator, ConditionalMutualInformationEstimator
):
r"""Estimator for the conditional ChaoWangJost mutual information.
ChaoWangJost 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 ChaoWangJost 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.chao_wang_jost.ChaoWangJostEntropyEstimator
ChaoWangJost entropy estimator.
"""
def _calculate(self):
"""Calculate the conditional mutual information of the data.
Returns
-------
float
Conditional ChaoWangJost mutual information of the data.
"""
return self._generic_cmi_from_entropy(
estimator=ChaoWangJostEntropyEstimator,
kwargs={"base": self.base},
)