geopfa.extrapolation.standardize_xy

standardize_xy(X_train, X_full)[source]

Standardize coordinate arrays using the mean and standard deviation computed from the training coordinates.

Parameters:

  • X_train (numpy.ndarray) – Training coordinate array, shape (n_train, 2).

  • X_full (numpy.ndarray) – Full coordinate array to be standardized using training statistics, shape (n_full, 2).

Returns:

  • X_train_std (numpy.ndarray) – Standardized training coordinates, shape (n_train, 2).

  • X_full_std (numpy.ndarray) – Standardized full-grid coordinates, shape (n_full, 2).

  • mean (numpy.ndarray) – Per-dimension mean of the training data, shape (2,).

  • std (numpy.ndarray) – Per-dimension standard deviation of the training data, shape (2,).

Notes

  • This function computes statistics (mean, std) only from the training array X_train, which ensures proper scaling when evaluating generalization.