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The eigenproblem formulation for HMM
This item is provided by the institution :
National Technical University of Athens
Repository :
Digital Library of National Technical University of Athens | Dspace@NTUA
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ΕΚΤ item type
Journal part
(EN)
Scientific article
(EN)
EKT year
1991
(EN)
EKT historical period
Title
The eigenproblem formulation for HMM (EN)
Creator
Dologlou, I (EN)
Touratzidis, L (EN)
Carayannis, G (EN)
Description
This paper presents a new matrix formulation of the basic concepts governing discrete Hidden Markov Models (HMM). Using this formulation, we show that symbol and state probabilities are exponential functions of the transition matrix of the model. Furthermore, based on the eigenanalysis of the transition matrix, a closed form relationship is derived between the eigenvalues of this matrix and the symbol probabilities at different instants. The matrix formulation provides a useful tool for the physical interpretation of the learning and decision process through HMM. A better insight is obtained, and tools are also given for a design with improved learning characteristics. © 1991. (EN)
Type
journalArticle (EN)
Subject
Computer Science, Interdisciplinary Applications (EN)
Symbol/State Probabilities (EN)
Mathematical Techniques--Matrix Algebra (EN)
Acoustics (EN)
Language & Linguistics (EN)
Mathematical Techniques--Algorithms (EN)
Hidden Markov Models (HMM) (EN)
Transition Matrix (EN)
speech recognition (EN)
Hidden Markov model (EN)
Speech (EN)
Eigenproblem Formulation (EN)
Communication (EN)
Provider
National Technical University of Athens
Repository / collection
Digital Library of National Technical University of Athens | Dspace@NTUA
Subcollections
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Δημοσιεύσεις μελών Δ.Ε.Π. σε περιοδικά
Journal
Speech Communication (EN)
Language
English
Issued
1991 (EN)
Identifier
http://hdl.handle.net/123456789/10583
ISI:A1991GW01900004 (EN)
4 (EN)
380 (EN)
0167-6393 (EN)
10 (EN)
373 (EN)
Publisher
ELSEVIER SCIENCE BV (EN)
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