kern {coloredICA}R Documentation

Kernel evaluation

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{\omega}_k - x_0)^T(\boldsymbol{\omega}_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.


[Package coloredICA version 1.0.0 Index]