{"id":"https://openalex.org/W2516694728","doi":"https://doi.org/10.1109/isit.2016.7541668","title":"Pattern maximum likelihood estimation of finite-state discrete-time Markov chains","display_name":"Pattern maximum likelihood estimation of finite-state discrete-time Markov chains","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2516694728","doi":"https://doi.org/10.1109/isit.2016.7541668","mag":"2516694728"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2016.7541668","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541668","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","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/A5028319993","display_name":"Shashank Vatedka","orcid":"https://orcid.org/0000-0003-2384-9392"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Shashank Vatedka","raw_affiliation_strings":["Dept. of Electrical Communication Engineering, Indian Institute of Science, Bengaluru, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Communication Engineering, Indian Institute of Science, Bengaluru, India","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028154201","display_name":"Pascal O. Vontobel","orcid":"https://orcid.org/0000-0002-6180-258X"},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Pascal O. Vontobel","raw_affiliation_strings":["Dept. of Information Engineering, The Chinese University of Hong Kong, Shatin, NT, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Information Engineering, The Chinese University of Hong Kong, Shatin, NT, Hong Kong","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0873,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.81057428,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2094","last_page":"2098"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.986299991607666,"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"}},"topics":[{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.986299991607666,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9706000089645386,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.7086021900177002},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7048730254173279},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6500768661499023},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5619354248046875},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4698575735092163},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.46551111340522766},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.44880157709121704},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4353313148021698},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42994681000709534},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.42783603072166443},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.42631715536117554},{"id":"https://openalex.org/keywords/likelihood-function","display_name":"Likelihood function","score":0.4110134541988373},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3923832178115845},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3736807405948639},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.30292004346847534},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28595656156539917},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2206435203552246},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1577337086200714}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7086021900177002},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7048730254173279},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6500768661499023},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5619354248046875},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4698575735092163},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.46551111340522766},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.44880157709121704},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4353313148021698},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42994681000709534},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.42783603072166443},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.42631715536117554},{"id":"https://openalex.org/C89106044","wikidata":"https://www.wikidata.org/wiki/Q45284","display_name":"Likelihood function","level":3,"score":0.4110134541988373},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3923832178115845},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3736807405948639},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.30292004346847534},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28595656156539917},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2206435203552246},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1577337086200714},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2016.7541668","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541668","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.iisc.ac.in:56195","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196309","display_name":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59270414","host_organization_name":"Indian Institute of Science Bangalore","host_organization_lineage":["https://openalex.org/I59270414"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Conference Proceedings"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8799999952316284,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322170","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86"},{"id":"https://openalex.org/F4320322942","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1873671735","https://openalex.org/W2005437133","https://openalex.org/W2013367791","https://openalex.org/W2070588745","https://openalex.org/W2096798913","https://openalex.org/W2154064234","https://openalex.org/W2169415915","https://openalex.org/W2169991579","https://openalex.org/W2215819374","https://openalex.org/W2516694728","https://openalex.org/W2761017552","https://openalex.org/W2963320833","https://openalex.org/W2963957816","https://openalex.org/W3105113057","https://openalex.org/W6639370665","https://openalex.org/W6677229021"],"related_works":["https://openalex.org/W2379651310","https://openalex.org/W2013921918","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W2413828414","https://openalex.org/W2019724159","https://openalex.org/W2367222340","https://openalex.org/W4280508323","https://openalex.org/W2149766606","https://openalex.org/W2371672232"],"abstract_inverted_index":{"We":[0,66],"study":[1],"the":[2,6,29,37,54,64,72,82,88,104],"problem":[3,20],"of":[4,36,63,75,91],"estimating":[5],"pattern":[7],"maximum":[8],"likelihood":[9],"(PML)":[10],"distribution":[11],"for":[12,21,39,60,71,85],"time-homogeneous":[13],"discrete-time":[14],"Markov":[15],"chains":[16],"(DTMCs).":[17],"The":[18],"PML":[19,55,73,83,105],"memoryless":[22,42],"sources":[23],"has":[24],"been":[25],"well":[26],"studied":[27],"in":[28],"literature":[30],"and":[31,97],"we":[32,80],"propose":[33],"an":[34],"extension":[35],"same":[38],"DTMCs.":[40],"For":[41],"sources,":[43],"Acharya":[44],"et":[45],"al.":[46],"have":[47],"shown":[48],"that":[49,68],"plug-in":[50],"estimators":[51],"obtained":[52],"from":[53],"estimate":[56,74,84,106],"yield":[57],"good":[58],"estimates":[59],"symmetric":[61],"functionals":[62],"distribution.":[65],"show":[67],"this":[69],"holds":[70],"DTMCs":[76,86],"as":[77,87],"well.":[78],"Finally,":[79],"express":[81],"double":[89],"minimization":[90],"a":[92],"certain":[93],"free":[94],"energy":[95],"function":[96],"discuss":[98],"some":[99],"mean-field":[100],"approximations":[101],"to":[102],"approximate":[103],"efficiently.":[107]},"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}