The eigenproblem formulation for HMM

Touratzidis, L; Dologlou, I; Carayannis, G

dc.contributor.author	Touratzidis, L	en
dc.contributor.author	Dologlou, I	en
dc.contributor.author	Carayannis, G	en
dc.date.accessioned	2014-03-01T01:08:35Z
dc.date.available	2014-03-01T01:08:35Z
dc.date.issued	1991	en
dc.identifier.issn	0167-6393	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10583
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0026260238&partnerID=40&md5=9f8efb2a2aa8c6ba68195d5cf323a1eb	en
dc.subject	Hidden Markov model	en
dc.subject	speech recognition	en
dc.subject.classification	Acoustics	en
dc.subject.classification	Communication	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Language & Linguistics	en
dc.subject.other	Mathematical Techniques--Algorithms	en
dc.subject.other	Mathematical Techniques--Matrix Algebra	en
dc.subject.other	Eigenproblem Formulation	en
dc.subject.other	Hidden Markov Models (HMM)	en
dc.subject.other	Symbol/State Probabilities	en
dc.subject.other	Transition Matrix	en
dc.subject.other	Speech	en
dc.title	The eigenproblem formulation for HMM	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	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
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Speech Communication	en
dc.identifier.isi	ISI:A1991GW01900004	en
dc.identifier.volume	10	en
dc.identifier.issue	4	en
dc.identifier.spage	373	en
dc.identifier.epage	380	en