In this paper, the iterated conditional modes optimization method of a Markov random field technique for image segmentation is generalized based on Tsallis statistics. It is observed that, for some q entropic index values the new algorithm performs better segmentation than the classical one. The...

In the context of inference with expectation constraints, we propose an approach based on the “loopy belief propagation” algorithm (lpb), as a surrogate to an exact Markov Random Field (mrf) modelling. A prior information composed of correlations among a large set of N variables, is encoded...

The classic theory to derive the characteristic Rayleigh wavelength, i.e., the distance between neighbouring droplets into which an originally cylindrical liquid body disintegrates, as a consequence of Rayleigh instability, is analysed in terms of the phenomenon of self-organization due to the...

We seek the numerical calculation of partition functions of general Markov random fields (MRFs) on an infinitely long twisted cylindrical lattice by using the transfer-matrix renormalization group (TMRG) method. The TMRG is a variant of the density-matrix renormalization group (DMRG) which...

We investigate theoretically and numerically the asymptotics of the partition function of a general Markov random field (MRF) on an infinite rectangular lattice. We first propose the general local energy function (LEF)-parameterized MRF. Then we prove that the thermodynamic limit of the free...

We consider image restoration by Bayes’ formula and investigate the relationship between an image and a prior probability from the following two viewpoints: hyperparameter estimation and the accuracy of a restored image. The Q-Ising model is adopted as a prior probability in Bayes’ formula....