{"id":"https://openalex.org/W1603265850","doi":"https://doi.org/10.1109/isit.2004.1365046","title":"On the entropy of a hidden markov process","display_name":"On the entropy of a hidden markov process","publication_year":2004,"publication_date":"2004-12-23","ids":{"openalex":"https://openalex.org/W1603265850","doi":"https://doi.org/10.1109/isit.2004.1365046","mag":"1603265850"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2004.1365046","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365046","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111913984","display_name":"Philippe Jacquet","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"P. Jacquet","raw_affiliation_strings":["Rocquencourt, INRIA, Le Chesnay, France","INRIA, France"],"affiliations":[{"raw_affiliation_string":"Rocquencourt, INRIA, Le Chesnay, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029865536","display_name":"G. Seroussi","orcid":"https://orcid.org/0000-0002-2893-189X"},"institutions":[{"id":"https://openalex.org/I1324840837","display_name":"Hewlett-Packard (United States)","ror":"https://ror.org/059rn9488","country_code":"US","type":"company","lineage":["https://openalex.org/I1324840837"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. Seroussi","raw_affiliation_strings":["Hewlett Packard Laboratories, Palo Alto, CA, USA","Hewlett\u2013Packard Laboratories, Palo Alto, CA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Hewlett Packard Laboratories, Palo Alto, CA, USA","institution_ids":["https://openalex.org/I1324840837"]},{"raw_affiliation_string":"Hewlett\u2013Packard Laboratories, Palo Alto, CA, USA#TAB#","institution_ids":["https://openalex.org/I1324840837"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019536160","display_name":"Wojciech Szpankowski","orcid":"https://orcid.org/0000-0001-9062-0067"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"W. Szpankowski","raw_affiliation_strings":["Department of Computer Sciences, Purdue University, West Lafayette, IN, USA","Purdue University West Lafayette IN USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Purdue University West Lafayette IN USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5111913984"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":0.6743,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.68091508,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9717000126838684,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9684000015258789,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/maximum-entropy-markov-model","display_name":"Maximum-entropy Markov model","score":0.75963294506073},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.7000635862350464},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.6788305044174194},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.546390950679779},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5025014877319336},{"id":"https://openalex.org/keywords/hidden-markov-model","display_name":"Hidden Markov model","score":0.500190258026123},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48973846435546875},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.48168835043907166},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4716686010360718},{"id":"https://openalex.org/keywords/transfer-entropy","display_name":"Transfer entropy","score":0.4269666373729706},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42210936546325684},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.39950481057167053},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37742459774017334},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.3711479902267456},{"id":"https://openalex.org/keywords/markov-property","display_name":"Markov property","score":0.3088821768760681},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.2548648715019226},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2048085331916809},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19531545042991638},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1596929132938385},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1493040919303894},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.09638971090316772}],"concepts":[{"id":"https://openalex.org/C196956702","wikidata":"https://www.wikidata.org/wiki/Q6795829","display_name":"Maximum-entropy Markov model","level":5,"score":0.75963294506073},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.7000635862350464},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.6788305044174194},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.546390950679779},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5025014877319336},{"id":"https://openalex.org/C23224414","wikidata":"https://www.wikidata.org/wiki/Q176769","display_name":"Hidden Markov model","level":2,"score":0.500190258026123},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48973846435546875},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.48168835043907166},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4716686010360718},{"id":"https://openalex.org/C182049051","wikidata":"https://www.wikidata.org/wiki/Q17147155","display_name":"Transfer entropy","level":3,"score":0.4269666373729706},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42210936546325684},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.39950481057167053},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37742459774017334},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.3711479902267456},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.3088821768760681},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.2548648715019226},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2048085331916809},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19531545042991638},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1596929132938385},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1493040919303894},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.09638971090316772}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2004.1365046","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365046","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1978242229","https://openalex.org/W2086605818","https://openalex.org/W2087284982","https://openalex.org/W4380838020"],"related_works":["https://openalex.org/W1945850644","https://openalex.org/W3125883986","https://openalex.org/W2803693972","https://openalex.org/W2124330979","https://openalex.org/W2523084757","https://openalex.org/W2534591499","https://openalex.org/W2159877461","https://openalex.org/W4211010039","https://openalex.org/W4295941885","https://openalex.org/W2185670000"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,32,35,44,54,57],"entropy":[4,16],"rate":[5],"of":[6,21,34],"a":[7,22],"hidden":[8],"Markov":[9],"process":[10],"(HMP)":[11],"is":[12,17,39,63],"computed.":[13],"The":[14,37,50],"HMP":[15],"expressed":[18],"in":[19,46],"terms":[20],"measure":[23,38],"Q,":[24],"which":[25],"solves":[26],"an":[27],"integral":[28],"equation":[29,45],"dependent":[30],"on":[31,53],"parameters":[33],"process.":[36],"hard":[40],"to":[41],"extract":[42],"from":[43],"any":[47],"explicit":[48],"way.":[49],"study":[51],"focuses":[52],"regime":[55],"where":[56],"channel":[58],"parameter":[59],"(noise)":[60],"/spl":[61],"epsiv/":[62],"small.":[64]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}