Longest-path Algorithm to Solve Uncovering Problem of Hidden Markov Model
Applied and Computational Mathematics
Volume 6, Issue 4-1, July 2017, Pages: 39-47
Received: Mar. 12, 2016; Accepted: Mar. 14, 2016; Published: Jun. 17, 2016
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Author
Loc Nguyen, Sunflower Soft Company, Ho Chi Minh City, Vietnam
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Abstract
Uncovering problem is one of three main problems of hidden Markov model (HMM), which aims to find out optimal state sequence that is most likely to produce a given observation sequence. Although Viterbi is the best algorithm to solve uncovering problem, I introduce a new viewpoint of how to solve HMM uncovering problem. The proposed algorithm is called longest-path algorithm in which the uncovering problem is modeled as a graph. So the essence of longest-path algorithm is to find out the longest path inside the graph. The optimal state sequence which is solution of uncovering problem is constructed from such path.
Keywords
Hidden Markov Model, Uncovering Problem, Longest-path Algorithm
To cite this article
Loc Nguyen, Longest-path Algorithm to Solve Uncovering Problem of Hidden Markov Model, Applied and Computational Mathematics. Special Issue: Some Novel Algorithms for Global Optimization and Relevant Subjects. Vol. 6, No. 4-1, 2017, pp. 39-47. doi: 10.11648/j.acm.s.2017060401.13
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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