In this paper we study the measure-theoretical entropy of the one-dimensional linear cellular automata (CA hereafter) Tf [−l,r], generated by local rule f(x −l, . . . , xr) = r ∑ i=−l λixi(mod m), where l and r are positive integers, acting on the space of all doubly infinite sequences with values in a finite ring Zm, m ≥ 2, with respect to a Markov measure. We prove that if the local rule f is...

In this paper, we show that the Chapman-Kolmogorov formula could be used as a recursive formula for computing the m-step-ahead conditional density of a Markov bilinear model. The stationary marginal probability density function of the model may be approximated by the m-step-ahead conditional density for sufficiently large m.

We present a population density and moment-based description of the stochastic dynamics of domain Ca-mediated inactivation of L-type Ca channels. Our approach accounts for the effect of heterogeneity of local Ca signals on whole cell Ca currents; however, in contrast with prior work, e.g., Sherman et al. (1990), we do not assume that Ca domain formation and collapse are fast compared to channel...

  Stochastic models such as mixture models, graphical models, Markov random fields and hidden Markov models have key role in probabilistic data analysis. In this paper, we have learned Gaussian mixture model to the pixels of an image. The parameters of the model have estimated by EM-algorithm.   In addition pixel labeling corresponded to each pixel of true image is made by Bayes rule. In fact, ...

Improving phoneme recognition has attracted the attention of many researchers due to its applications in various fields of speech processing. Recent research achievements show that using deep neural network (DNN) in speech recognition systems significantly improves the performance of these systems. There are two phases in DNN-based phoneme recognition systems including training and testing. Mos...

Overlapped areas of crop and coal production are responsible for national food security mineral resource supply. However, long-term mining urban rural construction have continuously impacted the structure functions original agricultural landscape ecosystem in area brought serious ecological problems. On basis results remote sensing image classification Zhaogu area, this study explores spatio-te...

Objective. The aim of the study is to develop a mathematical model for assessing stability functioning an informatization object (IO) in conditions computer attacks (CA), assuming that laws distribution random variables before enemy's impact and recovery time are distributed exponentially. Method. Application method discrete Markov processes solve problem IO, which differs from known approaches...