gpr (version 1.1)

covNoise: Independent noise function.

Description

Independent covariance function, ie "white noise", with specified variance.

This covariance function is parameterized as: k(x^p,x^q) = s2 * solve(delta(p,q)) , in which s2 is the noise variance and solve(delta(p,q)) is a Kronecker delta function where is 1 if p==q and its zero otherwise. hyperparameter and is defined by: loghyper = [ log(sqrt(s2)) ]

Usage

covNoise(loghyper= NULL ,  x = NULL , z = NULL,  testset.covariances= FALSE)

Arguments

loghyper

loghyper is hyperparameter vector variable.

x

Input parameter array to define the function over.

z

Index number of loghyper vector.

testset.covariances

Logic value to decide to compute testset covariances or not.

Value

If z is not null and testset.covariances is TRUE this function calculates test set covariances and if its FALSE the function computes derivative matrix. When covNoise is called without parameters is reports the minimum number of parameters other than loghyper which it can accept. The output of this function is a list consisting variables A and B. B will include testset covariances calculation when testset.covariances is TRUE.

References

Carl Edward Rasmussen and Christopher K. I. Williams.Gaussian Processes for Machine Learning. MIT Press, 2006. ISBN 0-262-18253-X. Carl Edward Rasmussen & Hannes Nickisch. gpml(GAUSSIAN PROCESS REGRESSION AND CLASSIFICATION Toolbox) Matlab Library.

Examples

params= covNoise()
params