The EM algorithm, e.g., the Baum–Welch re-estimation, is an important tool for parameter estimation in discrete-time hidden Markov models. We present a direct re-estimation of rate constants for applications in which the underlying Markov process is continuous in time. Previous estimation of discrete-time transition probabilities is not necessary.

3 Baum-Welch Algorithm (EM) 5 3.1 Outline of Procedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.2 First Term of Lc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.3 Second Term of Lc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.4 Third Term of Lc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.4.1 Pois...

Gibbs distribution is used to represent fuzzy codebooks of individual speakers. The method of fuzzy evolutionary programming is employed to create the fuzzy codebooks and also to train hidden Markov models of speakers. This method increases the chance of attaining global maxima in Baum-Welch algorithm for hidden Markov model re-estimation. The experiments show the results of speaker identificat...

Video affective content analysis is a fascinating but seldom addressed field in entertainment computing research communities. To recognize affective content in video, a video affective content representation and recognition framework based on Video Affective Tree (VAT) and Hidden Markov Models (HMMs) was proposed. The proposed video affective content recognizer has good potential to recognize t...

Hidden Markov chain, or field, models, with observations in a Euclidean space, play major role across signal and image processing. The present work provides statistical framework which can be used to extend these along related, popular algorithms (such as the Baum-Welch algorithm), case where lie Riemannian manifold. It is motivated by potential use of hidden chains fields, manifolds, models fo...

We describe the maximum-likelihood parameter estimation problem and how the ExpectationMaximization (EM) algorithm can be used for its solution. We first describe the abstract form of the EM algorithm as it is often given in the literature. We then develop the EM parameter estimation procedure for two applications: 1) finding the parameters of a mixture of Gaussian densities, and 2) finding the...

A result of Roquette 3] states that if D is an absolutely irreducible representation of a p-group G over the eld of complex numbers, then D can be realized in K((g) j g 2 G), where is the character of D and K = Q or K = Q(i) according to whether p 6 = 2 or p = 2. Based on Baum and Clausen's 1] algorithm for computing the irreducible representations of supersolvable groups, we give an elementary...

First, I would like to thank the author of ”Comments on ’A Simple and Accurate Algorithm for Barycentric Rational Interpolation’” (hereafter referred to as ”the comments”) for their interest in my work [1]. The author of the comments points out a novel relationship between barycentric rational interpolation, the Welch-Berlekamp key equation and Gröbner bases. This could turn out to be a very pr...

– The Welch-Berlekamp (WB) key equation arises in the decoding of Reed-Solomon (RS) codes over finite fields where the decoding problem is viewed as a rational interpolation problem. The significance of this decoding approach lies in the fact that it does not require the prior evaluation of power sum symmetric functions, i.e. the so-called syndrome vector corresponding to a received word. It ha...