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Article: Derivatives of entropy rate in special families of hidden Markov chains
Title | Derivatives of entropy rate in special families of hidden Markov chains |
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Authors | |
Keywords | Analyticity Entropy Entropy rate Hidden Markov chain Hidden Markov model Hidden Markov process |
Issue Date | 2007 |
Publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?puNumber=18 |
Citation | Ieee Transactions On Information Theory, 2007, v. 53 n. 7, p. 2642-2652 How to Cite? |
Abstract | Consider a hidden Markov chain obtained as the observation process of an ordinary Markov chain corrupted by noise. Recently Zuk etal showed how, in principle, one can explicitly compute the derivatives of the entropy rate of at extreme values of the noise. Namely, they showed that the derivatives of standard upper approximations to the entropy rate actually stabilize at an explicit finite time. We generalize this result to a natural class of hidden Markov chains called "Black Holes."We also discuss in depth special cases of binary Markov chains observed in binary-symmetric noise, and give an abstract formula for the first derivative in terms of a measure on the simplex due to Blackwell. © 2007 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/135158 |
ISSN | 2023 Impact Factor: 2.2 2023 SCImago Journal Rankings: 1.607 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Han, G | en_HK |
dc.contributor.author | Marcus, B | en_HK |
dc.date.accessioned | 2011-07-27T01:29:09Z | - |
dc.date.available | 2011-07-27T01:29:09Z | - |
dc.date.issued | 2007 | en_HK |
dc.identifier.citation | Ieee Transactions On Information Theory, 2007, v. 53 n. 7, p. 2642-2652 | en_HK |
dc.identifier.issn | 0018-9448 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/135158 | - |
dc.description.abstract | Consider a hidden Markov chain obtained as the observation process of an ordinary Markov chain corrupted by noise. Recently Zuk etal showed how, in principle, one can explicitly compute the derivatives of the entropy rate of at extreme values of the noise. Namely, they showed that the derivatives of standard upper approximations to the entropy rate actually stabilize at an explicit finite time. We generalize this result to a natural class of hidden Markov chains called "Black Holes."We also discuss in depth special cases of binary Markov chains observed in binary-symmetric noise, and give an abstract formula for the first derivative in terms of a measure on the simplex due to Blackwell. © 2007 IEEE. | en_HK |
dc.language | eng | en_US |
dc.publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?puNumber=18 | en_HK |
dc.relation.ispartof | IEEE Transactions on Information Theory | en_HK |
dc.rights | ©2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. | - |
dc.subject | Analyticity | en_HK |
dc.subject | Entropy | en_HK |
dc.subject | Entropy rate | en_HK |
dc.subject | Hidden Markov chain | en_HK |
dc.subject | Hidden Markov model | en_HK |
dc.subject | Hidden Markov process | en_HK |
dc.title | Derivatives of entropy rate in special families of hidden Markov chains | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0018-9448&volume=53&issue=7&spage=2642&epage=2652&date=2007&atitle=Derivatives+of+Entropy+Rate+in+Special+Familes+of+Hidden+Markov+Chains | - |
dc.identifier.email | Han, G:ghan@hku.hk | en_HK |
dc.identifier.authority | Han, G=rp00702 | en_HK |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1109/TIT.2007.899467 | en_HK |
dc.identifier.scopus | eid_2-s2.0-34447315277 | en_HK |
dc.identifier.hkuros | 187919 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-34447315277&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 53 | en_HK |
dc.identifier.issue | 7 | en_HK |
dc.identifier.spage | 2642 | en_HK |
dc.identifier.epage | 2652 | en_HK |
dc.identifier.isi | WOS:000247606300027 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Han, G=8640067800 | en_HK |
dc.identifier.scopusauthorid | Marcus, B=7102086378 | en_HK |
dc.identifier.issnl | 0018-9448 | - |