dataeval.core.balance

dataeval.core.balance(class_labels, factor_data, discrete_features=None, num_neighbors=5)

Mutual information between factors (class label, metadata, label/image properties).

Parameters:
class_labels : NDArray[np.intp]

Target class labels as integer indices.

factor_data : NDArray[np.intp]

Factor values after binning or digitization.

discrete_features : Iterable[bool] | None = None

Boolean array or iterable defining whether or not the feature set is discretized.

num_neighbors : int = 5

Number of points to consider as neighbors.

Returns:

(num_factors+1) x (num_factors+1) estimate of mutual information between num_factors metadata factors and class label. Symmetry is enforced.

Return type:

NDArray[np.float64]

Notes

We use mutual_info_classif from sklearn since class label is categorical. mutual_info_classif outputs are consistent up to O(1e-4) and depend on a random seed. MI is computed differently for categorical and continuous variables.

Example

Return balance (mutual information) of factors with class_labels

>>> metadata = generate_random_metadata(
...     labels=["doctor", "artist", "teacher"],
...     factors={
...         "age": [25, 30, 35, 45],
...         "income": [50000, 65000, 80000],
...         "gender": ["M", "F"]},
...     length=100,
...     random_seed=175)
>>> bal = balance(
...     class_labels=metadata.class_labels,
...     factor_data=metadata.binned_data,
...     discrete_features=[True, True, True])
>>> bal
array([[1.017, 0.034, 0.   , 0.028],
       [0.034, 1.   , 0.015, 0.038],
       [0.   , 0.015, 1.   , 0.008],
       [0.028, 0.038, 0.008, 1.   ]])

Return intra/interfactor balance (mutual information)

See also

sklearn.feature_selection.mutual_info_classif, sklearn.feature_selection.mutual_info_regression, sklearn.metrics.mutual_info_score