A family of nonisomorphic Markov random fields

A family of nonisomorphic Markov random fields

It was recently shown that there exists a family Z2 Markov random fields which are K but are not isomorphic to Bernoulli shifts [4]. In this paper we show that most distinct members of this family are not isomorphic. This implies that there is a two parameter family of Z2 Markov random fields of the same entropy, no two of which are isomorphic.

An Uncountable Family of Nonisomorphic Markov Random Elds Which Are K but Not

It was recently shown that there exists a family Z 2 Markov random elds which are K but are not isomorphic to Bernoulli shifts 6]. In this paper we show that most distinct members of this family are not isomorphic. This implies that there is a two parameter family of Z 2 Markov random elds of the same entropy, no two of which are isomorphic.

Information-theoretic characterizations of conditional mutual independence and Markov random fields

We take the point of view that a Markov random field is a collection of so-called full conditional mutual independencies. Using the theory of -Measure, we have obtained a number of fundamental characterizations related to conditional mutual independence and Markov random fields. We show that many aspects of conditional mutual independence and Markov random fields have very simple set-theoretic ...

Cluster-Based Image Segmentation Using Fuzzy Markov Random Field

Image segmentation is an important task in image processing and computer vision which attract many researchers attention. There are a couple of information sets pixels in an image: statistical and structural information which refer to the feature value of pixel data and local correlation of pixel data, respectively. Markov random field (MRF) is a tool for modeling statistical and structural inf...

Central and Local Limit Theories in Markov Dependent Random Variables