finite_prediction_error#

skfda.preprocessing.smoothing.validation.finite_prediction_error(hat_matrix)[source]#

Finite prediction error for cross validation.

\[\Xi(\nu,n) = \frac{1 + \frac{tr(\hat{H}^\nu)}{n}}{1 - \frac{tr(\hat{H}^\nu)}{n}}\]

See [1] for additional details.

Parameters:

hat_matrix (ndarray[Any, dtype[float64]]) – Smoothing matrix whose penalization score is desired.

Returns:

Penalization given by the finite prediction error.

Return type:

float

References