{"id":"https://openalex.org/W4211010039","doi":"https://doi.org/10.1109/isit.2005.1523736","title":"Analyticity of entropy rate in families of hidden markov chains","display_name":"Analyticity of entropy rate in families of hidden markov chains","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W4211010039","doi":"https://doi.org/10.1109/isit.2005.1523736"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2005.1523736","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2005.1523736","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.","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/A5000081781","display_name":"Guangyue Han","orcid":"https://orcid.org/0000-0001-9895-5646"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Guangyue Han","raw_affiliation_strings":["Department of Mathematics, University of British Columbia, Vancouver, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of British Columbia, Vancouver, Canada","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113544364","display_name":"Brian Marcus","orcid":null},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"B. Marcus","raw_affiliation_strings":["Department of Mathematics, University of British Columbia, Vancouver, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of British Columbia, Vancouver, Canada","institution_ids":["https://openalex.org/I141945490"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000081781"],"corresponding_institution_ids":["https://openalex.org/I141945490"],"apc_list":null,"apc_paid":null,"fwci":0.43,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64275635,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1486","issue":null,"first_page":"2193","last_page":"2197"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.8789520263671875},{"id":"https://openalex.org/keywords/maximum-entropy-markov-model","display_name":"Maximum-entropy Markov model","score":0.7576745748519897},{"id":"https://openalex.org/keywords/markov-chain-mixing-time","display_name":"Markov chain mixing time","score":0.6691866517066956},{"id":"https://openalex.org/keywords/examples-of-markov-chains","display_name":"Examples of Markov chains","score":0.6378026604652405},{"id":"https://openalex.org/keywords/variable-order-markov-model","display_name":"Variable-order Markov model","score":0.6204731464385986},{"id":"https://openalex.org/keywords/markov-kernel","display_name":"Markov kernel","score":0.6082003116607666},{"id":"https://openalex.org/keywords/hidden-semi-markov-model","display_name":"Hidden semi-Markov model","score":0.5999725461006165},{"id":"https://openalex.org/keywords/markov-property","display_name":"Markov property","score":0.5950640439987183},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.565403938293457},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.5545286536216736},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5290785431861877},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5242388844490051},{"id":"https://openalex.org/keywords/hidden-markov-model","display_name":"Hidden Markov model","score":0.519536554813385},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5145604014396667},{"id":"https://openalex.org/keywords/markov-renewal-process","display_name":"Markov renewal process","score":0.5019669532775879},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4805086851119995},{"id":"https://openalex.org/keywords/entropy-rate","display_name":"Entropy rate","score":0.4774097204208374},{"id":"https://openalex.org/keywords/additive-markov-chain","display_name":"Additive Markov chain","score":0.4262758791446686},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.3656166195869446},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3615992069244385},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2315593659877777},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.21866300702095032},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17511749267578125},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09730279445648193},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06925210356712341},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.05358240008354187}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.8789520263671875},{"id":"https://openalex.org/C196956702","wikidata":"https://www.wikidata.org/wiki/Q6795829","display_name":"Maximum-entropy Markov model","level":5,"score":0.7576745748519897},{"id":"https://openalex.org/C97074811","wikidata":"https://www.wikidata.org/wiki/Q6771322","display_name":"Markov chain mixing time","level":5,"score":0.6691866517066956},{"id":"https://openalex.org/C76408418","wikidata":"https://www.wikidata.org/wiki/Q5419314","display_name":"Examples of Markov chains","level":5,"score":0.6378026604652405},{"id":"https://openalex.org/C54907487","wikidata":"https://www.wikidata.org/wiki/Q7915688","display_name":"Variable-order Markov model","level":4,"score":0.6204731464385986},{"id":"https://openalex.org/C106666656","wikidata":"https://www.wikidata.org/wiki/Q6771323","display_name":"Markov kernel","level":5,"score":0.6082003116607666},{"id":"https://openalex.org/C64939953","wikidata":"https://www.wikidata.org/wiki/Q3859882","display_name":"Hidden semi-Markov model","level":5,"score":0.5999725461006165},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.5950640439987183},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.565403938293457},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.5545286536216736},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5290785431861877},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5242388844490051},{"id":"https://openalex.org/C23224414","wikidata":"https://www.wikidata.org/wiki/Q176769","display_name":"Hidden Markov model","level":2,"score":0.519536554813385},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5145604014396667},{"id":"https://openalex.org/C163540672","wikidata":"https://www.wikidata.org/wiki/Q1115431","display_name":"Markov renewal process","level":5,"score":0.5019669532775879},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4805086851119995},{"id":"https://openalex.org/C125252325","wikidata":"https://www.wikidata.org/wiki/Q1345213","display_name":"Entropy rate","level":4,"score":0.4774097204208374},{"id":"https://openalex.org/C96810086","wikidata":"https://www.wikidata.org/wiki/Q17003273","display_name":"Additive Markov chain","level":5,"score":0.4262758791446686},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.3656166195869446},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3615992069244385},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2315593659877777},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.21866300702095032},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17511749267578125},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09730279445648193},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06925210356712341},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.05358240008354187}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2005.1523736","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2005.1523736","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.","raw_type":"proceedings-article"},{"id":"pmh:oai:hub.hku.hk:10722/158862","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/158862","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference_Paper"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W53014910","https://openalex.org/W1498844071","https://openalex.org/W1512482272","https://openalex.org/W1575147392","https://openalex.org/W1638641601","https://openalex.org/W1826269386","https://openalex.org/W1990055914","https://openalex.org/W1997136004","https://openalex.org/W1999873691","https://openalex.org/W2024907874","https://openalex.org/W2050320195","https://openalex.org/W2126265238","https://openalex.org/W2133092578","https://openalex.org/W2171143576","https://openalex.org/W2542539484","https://openalex.org/W2567540888","https://openalex.org/W4206252072","https://openalex.org/W4231009334","https://openalex.org/W4241067675","https://openalex.org/W6629682016"],"related_works":["https://openalex.org/W1840407238","https://openalex.org/W4302561434","https://openalex.org/W2124330979","https://openalex.org/W2558641687","https://openalex.org/W2233956239","https://openalex.org/W1487294707","https://openalex.org/W2159877461","https://openalex.org/W2181874702","https://openalex.org/W2949322640","https://openalex.org/W4211010039"],"abstract_inverted_index":{"We":[0,48],"prove":[1],"that":[2],"under":[3,30],"mild":[4],"assumptions":[5],"a":[6,13,17,37],"hidden":[7,38,68,75],"Markov":[8,22,39,69,76,84],"chain":[9,23,40],"varies":[10],"analytically,":[11],"in":[12,57,71],"strong":[14],"sense,":[15],"as":[16],"function":[18,44],"of":[19,36,45,67],"the":[20,33,46],"underlying":[21],"parameters.":[24,47],"In":[25],"particular,":[26],"we":[27,61],"show":[28,52],"that,":[29],"these":[31],"assumptions,":[32],"entropy":[34],"rate":[35],"is":[41],"an":[42,79],"analytic":[43],"give":[49],"examples":[50],"to":[51],"how":[53],"this":[54],"can":[55],"fail":[56],"some":[58],"cases.":[59],"And":[60],"study":[62],"two":[63],"natural":[64],"special":[65],"classes":[66],"chains":[70,77,85],"more":[72],"detail:":[73],"binary":[74,83,88],"with":[78],"unambiguous":[80],"symbol":[81],"and":[82],"corrupted":[86],"by":[87],"symmetric":[89],"noise":[90]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}