Binary symmetric#
- binary_symmetric_component(X: ndarray, Y: ndarray, binary_indices: list[int], missing_strategy: str = 'ignore', weights: ndarray | None = None) tuple[ndarray, ndarray][source]#
Compute the symmetric binary component of Gower metric between rows of X and Y.
- Description:
Similarity s_ijt = 1 if x_it == x_jt, else 0.
δ_ijt (present) = 1 if both values are non-missing, else 0.
Distance d_ijt = 1 - s_ijt for δ_ijt = 1; ignored otherwise.
- Parameters:
X (np.ndarray) – shape (n_x, n_features).
Y (np.ndarray) – shape (n_y, n_features).
binary_indices (list[int]) – Indices of binary symmetric features.
missing_strategy (str) – Strategy for handling missing values, default is ‘ignore’.
weights (Optional[np.ndarray]) – Optional weight per binary feature.
- Returns:
sum_diff: matrix (n_x, n_y); weighted sum of d_ijt
count_present: matrix (n_x, n_y); δ_ijt counts
- Return type:
tuple[np.ndarray, np.ndarray]