Partially observed Markov random fields are variable neighborhood random fields

Details Partially observed Markov random fields are variable neighborhood random fields Partially observed Markov random fields are variable neighborhood random fields

2011-11-04

arxiv.org/abs/1111.1177v3

Mathematics

Probability

To appear in Journal of Statistical Physics

Scientific paper

The present paper has two goals. First to present a natural example of a new class of random fields which are the variable neighborhood random fields. The example we consider is a partially observed nearest neighbor binary Markov random field. The second goal is to establish sufficient conditions ensuring that the variable neighborhoods are almost surely finite. We discuss the relationship between the almost sure finiteness of the interaction neighborhoods and the presence/absence of phase transition of the underlying Markov random field. In the case where the underlying random field has no phase transition we show that the finiteness of neighborhoods depends on a specific relation between the noise level and the minimum values of the one-point specification of the Markov random field. The case in which there is phase transition is addressed in the frame of the ferromagnetic Ising model. We prove that the existence of infinite interaction neighborhoods depends on the phase.

Affiliated with

Also associated with

No associations

Rating

Partially observed Markov random fields are variable neighborhood random fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Partially observed Markov random fields are variable neighborhood random fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Partially observed Markov random fields are variable neighborhood random fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-101411