Disorder Detection of Random Fields

Abstract

In solving many problems relating to the recognition of complex signals, in the synthesis of artificial intelligence systems and in experimental data processing, the problem often arises to detect homogeneous regions of a random field. The crux of this problem is as follows. Suppose that a domain of definition J of a random field is divided into k disjoint sets I _i , i = 1,..., k of statistical homogeneity in characteristics of this random field. The problem is to reconstruct the boundaries of the sets I _i using observations of a random field in the domain J.