Added Huber Loss Function (TheAlgorithms#10141)

Author: kausthub-kannan

machine_learning/loss_functions/huber_loss.py

@@ -0,0 +1,52 @@
+"""
+Huber Loss Function
+
+Description:
+Huber loss function describes the penalty incurred by an estimation procedure.
+It serves as a measure of the model's accuracy in regression tasks.
+
+Formula:
+Huber Loss = if |y_true - y_pred| <= delta then 0.5 * (y_true - y_pred)^2
+             else delta * |y_true - y_pred| - 0.5 * delta^2
+
+Source:
+[Wikipedia - Huber Loss](https://en.wikipedia.org/wiki/Huber_loss)
+"""
+
+import numpy as np
+
+
+def huber_loss(y_true: np.ndarray, y_pred: np.ndarray, delta: float) -> float:
+    """
+    Calculate the mean of Huber Loss.
+
+    Parameters:
+    - y_true: The true values (ground truth).
+    - y_pred: The predicted values.
+
+    Returns:
+    - huber_loss: The mean of Huber Loss between y_true and y_pred.
+
+    Example usage:
+    >>> true_values = np.array([0.9, 10.0, 2.0, 1.0, 5.2])
+    >>> predicted_values = np.array([0.8, 2.1, 2.9, 4.2, 5.2])
+    >>> np.isclose(huber_loss(true_values, predicted_values, 1.0), 2.102)
+    True
+    >>> true_labels = np.array([11.0, 21.0, 3.32, 4.0, 5.0])
+    >>> predicted_probs = np.array([8.3, 20.8, 2.9, 11.2, 5.0])
+    >>> np.isclose(huber_loss(true_labels, predicted_probs, 1.0), 1.80164)
+    True
+    """
+
+    if len(y_true) != len(y_pred):
+        raise ValueError("Input arrays must have the same length.")
+
+    huber_mse = 0.5 * (y_true - y_pred) ** 2
+    huber_mae = delta * (np.abs(y_true - y_pred) - 0.5 * delta)
+    return np.where(np.abs(y_true - y_pred) <= delta, huber_mse, huber_mae).mean()
+
+
+if __name__ == "__main__":
+    import doctest
+
+    doctest.testmod()