Add Energy distance data drift method

README.md

@@ -335,9 +335,9 @@ The currently implemented detectors are listed in the following table.
     <td style="text-align: center; border: 1px solid grey; padding: 8px;"><a href="https://doi.org/10.1007/978-3-540-75488-6_27">Nishida and Yamauchi (2007)</a></td>
   </tr>
   <tr>
-    <td rowspan="16" style="text-align: center; border: 1px solid grey; padding: 8px;">Data drift</td>
-    <td rowspan="14" style="text-align: center; border: 1px solid grey; padding: 8px;">Batch</td>
-    <td rowspan="9" style="text-align: center; border: 1px solid grey; padding: 8px;">Distance based</td>
+    <td rowspan="17" style="text-align: center; border: 1px solid grey; padding: 8px;">Data drift</td>
+    <td rowspan="15" style="text-align: center; border: 1px solid grey; padding: 8px;">Batch</td>
+    <td rowspan="10" style="text-align: center; border: 1px solid grey; padding: 8px;">Distance based</td>
     <td style="text-align: center; border: 1px solid grey; padding: 8px;">U</td>
     <td style="text-align: center; border: 1px solid grey; padding: 8px;">N</td>
     <td style="text-align: center; border: 1px solid grey; padding: 8px;">Anderson-Darling test</td>
@@ -355,6 +355,12 @@ The currently implemented detectors are listed in the following table.
     <td style="text-align: center; border: 1px solid grey; padding: 8px;">Earth Mover's distance</td>
     <td style="text-align: center; border: 1px solid grey; padding: 8px;"><a href="https://doi.org/10.1023/A:1026543900054">Rubner et al. (2000)</a></td>
   </tr>
+  <tr>
+    <td style="text-align: center; border: 1px solid grey; padding: 8px;">U</td>
+    <td style="text-align: center; border: 1px solid grey; padding: 8px;">N</td>
+    <td style="text-align: center; border: 1px solid grey; padding: 8px;">Energy distance</td>
+    <td style="text-align: center; border: 1px solid grey; padding: 8px;"><a href="https://doi.org/10.1016/j.jspi.2013.03.018">Székely et al. (2013)</a></td>
+  </tr>
   <tr>
     <td style="text-align: center; border: 1px solid grey; padding: 8px;">U</td>
     <td style="text-align: center; border: 1px solid grey; padding: 8px;">N</td>

docs/source/api_reference/detectors/data_drift/batch.md

@@ -26,6 +26,7 @@ The {mod}`frouros.detectors.data_drift.batch` module contains batch data drift d
 
     BhattacharyyaDistance
     EMD
+    EnergyDistance
     HellingerDistance
     HINormalizedComplement
     JS

frouros/detectors/data_drift/__init__.py

@@ -6,6 +6,7 @@
     ChiSquareTest,
     CVMTest,
     EMD,
+    EnergyDistance,
     HellingerDistance,
     HINormalizedComplement,
     JS,
@@ -25,6 +26,7 @@
     "ChiSquareTest",
     "CVMTest",
     "EMD",
+    "EnergyDistance",
     "HellingerDistance",
     "HINormalizedComplement",
     "IncrementalKSTest",

frouros/detectors/data_drift/batch/__init__.py

@@ -3,6 +3,7 @@
 from .distance_based import (
     BhattacharyyaDistance,
     EMD,
+    EnergyDistance,
     HellingerDistance,
     HINormalizedComplement,
     JS,
@@ -25,6 +26,7 @@
     "ChiSquareTest",
     "CVMTest",
     "EMD",
+    "EnergyDistance",
     "HellingerDistance",
     "HINormalizedComplement",
     "JS",

frouros/detectors/data_drift/batch/distance_based/__init__.py

@@ -2,6 +2,7 @@
 
 from .bhattacharyya_distance import BhattacharyyaDistance
 from .emd import EMD
+from .energy_distance import EnergyDistance
 from .hellinger_distance import HellingerDistance
 from .hi_normalized_complement import HINormalizedComplement
 from .js import JS
@@ -12,6 +13,7 @@
 __all__ = [
     "BhattacharyyaDistance",
     "EMD",
+    "EnergyDistance",
     "HellingerDistance",
     "HINormalizedComplement",
     "JS",

frouros/detectors/data_drift/batch/distance_based/energy_distance.py

@@ -0,0 +1,77 @@
+"""Energy Distance module."""
+
+from typing import Optional, Union
+
+import numpy as np  # type: ignore
+from scipy.stats import energy_distance  # type: ignore
+
+from frouros.callbacks.batch.base import BaseCallbackBatch
+from frouros.detectors.data_drift.base import UnivariateData
+from frouros.detectors.data_drift.batch.distance_based.base import (
+    BaseDistanceBased,
+    DistanceResult,
+)
+
+
+class EnergyDistance(BaseDistanceBased):
+    """EnergyDistance [szekely2013energy]_ detector.
+
+    :param callbacks: callbacks, defaults to None
+    :type callbacks: Optional[Union[BaseCallbackBatch, list[BaseCallbackBatch]]]
+    :param kwargs: additional keyword arguments to pass to scipy.stats.energy_distance
+    :type kwargs: Dict[str, Any]
+
+    :References:
+
+    .. [szekely2013energy] Székely, Gábor J., and Maria L. Rizzo.
+        "Energy statistics: A class of statistics based on distances."
+        Journal of statistical planning and inference 143.8 (2013): 1249-1272.
+
+    :Example:
+
+    >>> from frouros.detectors.data_drift import EnergyDistance
+    >>> import numpy as np
+    >>> np.random.seed(seed=31)
+    >>> X = np.random.normal(loc=0, scale=1, size=100)
+    >>> Y = np.random.normal(loc=1, scale=1, size=100)
+    >>> detector = EnergyDistance()
+    >>> _ = detector.fit(X=X)
+    >>> detector.compare(X=Y)[0]
+    DistanceResult(distance=0.8359206395514527)
+    """  # noqa: E501
+
+    def __init__(  # noqa: D107
+        self,
+        callbacks: Optional[Union[BaseCallbackBatch, list[BaseCallbackBatch]]] = None,
+        **kwargs,
+    ) -> None:
+        super().__init__(
+            statistical_type=UnivariateData(),
+            statistical_method=self._energy_distance,
+            statistical_kwargs=kwargs,
+            callbacks=callbacks,
+        )
+        self.kwargs = kwargs
+
+    def _distance_measure(
+        self,
+        X_ref: np.ndarray,  # noqa: N803
+        X: np.ndarray,  # noqa: N803
+        **kwargs,
+    ) -> DistanceResult:
+        emd = self._energy_distance(X=X_ref, Y=X, **self.kwargs)
+        distance = DistanceResult(distance=emd)
+        return distance
+
+    @staticmethod
+    def _energy_distance(
+        X: np.ndarray,  # noqa: N803
+        Y: np.ndarray,
+        **kwargs,
+    ) -> float:
+        energy = energy_distance(
+            u_values=X.flatten(),
+            v_values=Y.flatten(),
+            **kwargs,
+        )
+        return energy

frouros/tests/integration/test_callback.py

@@ -30,6 +30,7 @@
     BhattacharyyaDistance,
     CVMTest,
     EMD,
+    EnergyDistance,
     HellingerDistance,
     HINormalizedComplement,
     JS,
@@ -48,6 +49,7 @@
     [
         (BhattacharyyaDistance, 0.55516059, 0.0),
         (EMD, 3.85346006, 0.0),
+        (EnergyDistance, 2.11059982, 0.0),
         (HellingerDistance, 0.74509099, 0.0),
         (HINormalizedComplement, 0.78, 0.0),
         (JS, 0.67010107, 0.0),

frouros/tests/integration/test_data_drift.py

@@ -8,6 +8,7 @@
 from frouros.detectors.data_drift.batch import (
     BhattacharyyaDistance,
     EMD,
+    EnergyDistance,
     HellingerDistance,
     HINormalizedComplement,
     PSI,
@@ -64,6 +65,7 @@ def test_batch_distance_based_categorical(
     "detector, expected_distance",
     [
         (EMD(), 3.85346006),
+        (EnergyDistance(), 2.11059982),
         (JS(), 0.67010107),
         (KL(), np.inf),
         (HINormalizedComplement(), 0.78),