coloredICA (version 1.0.0)

kern: 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.

Value

• It returns a list containing the following component:
• v
  vector containing the $n$ exponential Kernel evaluations.

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

See Also

scICA, locmulti, grad, hess.