kern: Kernel evaluation

In coloredICA: Implementation of Colored Independent Component Analysis and Spatial Colored Independent Component Analysis

Description

This function returns a vector of length n with the evaluation of an exponential Kernel at a point x0 \in R^2 for the n Fourier frequencies.

Usage

kern(x0, h, freq)

Arguments

x0	Point \in R^2 at which the Kernel is evaluated.
h	Kernel bandwidth.
freq	n \times 2 matrix with the n Fourier frequencies, where n is the number of points in the analyzed lattice.

Details

This function returns a vector of length n with the evaluation of an exponential Kernel at a point x0 \in R^2 for the n Fourier frequencies. In particular the k-th vector element is

e^{-\frac{(\boldsymbol{ω}_k - x_0)^T(\boldsymbol{ω}_k - x_0)}{h^2}}.

Value

It returns a list containing the following component:

v	vector containing the n exponential Kernel evaluations.

Note

It is auxiliary for locmulti, grad and hess functions.

Author(s)

Lee, S., Shen, H., Truong, Y. and Zanini, P.

See Also

scICA, locmulti, grad, hess.

coloredICA documentation built on May 1, 2019, 10:55 p.m.