norm_matrix_H_derivatives: Computation of the H-norm of the derivatives of a set of...

In ardeeshany/FLAME: FLAME for high-dimensional Function-on-Scalar regression problems

Description

It computes the H norm of the derivatives of a set of functions represented as their projection on a basis of the space H.

Usage

norm_matrix_H_derivatives(M, pairwise_derivatives)

Arguments

M	matrix. J \times N matrix containing in the column n the coefficients of the projection of a function y_n on the J-dimensional basis functions.
pairwise_derivatives	matrix. J \times J matrix containing the integral of the pairwise product of the basis functions. It can be computed with the compute_pairwise_integrals function.

Value

vector of length N containing the H-norm of the derivatives of the functions

Examples

data(SobolevKernel)
T_domain <- seq(0, 1, length = 50)
pairwise_derivartives <- compute_pairwise_integrals(derivatives, T_domain)
sum(norm_matrix_H_derivatives(t(Y_matrix), pairwise_derivartives))

ardeeshany/FLAME documentation built on May 14, 2019, 8:41 a.m.