Representation of multinomial linear hidden Markov models in the form of algebraic Bayesian networks
Leonid Markovich Revzin, Andrey Alexandrovich Filchenkov, Alexander Lvovich Tulupyev · Informatics and Automation · 2014
Hidden Markov models (HMM) are widespread in simulating of various processes in such fields as bioinformatics, speech recognition and automated translation. Algebraic Bayesian network (ABN) is actively developing model with wide opportunities. Goal of this work is to represent a wider class of HMM as ABN than in the earlier researches. Algorithm for HMM representation is proposed and its correctness from the point of view of probabilistic semantics equality is proven.