{"id":"https://openalex.org/W2133901037","doi":"https://doi.org/10.1109/acc.2011.5990861","title":"State splitting and state merging in probabilistic finite state automata","display_name":"State splitting and state merging in probabilistic finite state automata","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2133901037","doi":"https://doi.org/10.1109/acc.2011.5990861","mag":"2133901037"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2011.5990861","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5990861","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","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/A5025014720","display_name":"Patrick Adenis","orcid":null},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Patrick Adenis","raw_affiliation_strings":["Pennsylvania State University, University Park, PA, USA","The Pennsylvania State University, University Park, 16802, USA"],"affiliations":[{"raw_affiliation_string":"Pennsylvania State University, University Park, PA, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"The Pennsylvania State University, University Park, 16802, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102709777","display_name":"Kushal Mukherjee","orcid":"https://orcid.org/0000-0002-9796-9429"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kushal Mukherjee","raw_affiliation_strings":["Pennsylvania State University, University Park, PA, USA","The Pennsylvania State University, University Park, 16802, USA"],"affiliations":[{"raw_affiliation_string":"Pennsylvania State University, University Park, PA, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"The Pennsylvania State University, University Park, 16802, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003487011","display_name":"Asok Ray","orcid":"https://orcid.org/0000-0003-4124-0230"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Asok Ray","raw_affiliation_strings":["Pennsylvania State University, University Park, PA, USA","The Pennsylvania State University, University Park, 16802, USA"],"affiliations":[{"raw_affiliation_string":"Pennsylvania State University, University Park, PA, USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"The Pennsylvania State University, University Park, 16802, USA","institution_ids":["https://openalex.org/I130769515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025014720"],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":null,"apc_paid":null,"fwci":4.2758,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.94433566,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"5145","last_page":"5150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9986000061035156,"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"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9986000061035156,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9790999889373779,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9645000100135803,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/quantum-finite-automata","display_name":"Quantum finite automata","score":0.7612980604171753},{"id":"https://openalex.org/keywords/symbol","display_name":"Symbol (formal)","score":0.7409453392028809},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.7326411604881287},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.6883289217948914},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6498429775238037},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.6156957149505615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5354305505752563},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5337142944335938},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5086970925331116},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4947352111339569},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4665662348270416},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.43290185928344727},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4231814444065094},{"id":"https://openalex.org/keywords/hidden-markov-model","display_name":"Hidden Markov model","score":0.41258376836776733},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.3185330033302307},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3094148635864258},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09371712803840637}],"concepts":[{"id":"https://openalex.org/C174327141","wikidata":"https://www.wikidata.org/wiki/Q176837","display_name":"Quantum finite automata","level":4,"score":0.7612980604171753},{"id":"https://openalex.org/C134400042","wikidata":"https://www.wikidata.org/wiki/Q2372244","display_name":"Symbol (formal)","level":2,"score":0.7409453392028809},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.7326411604881287},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.6883289217948914},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6498429775238037},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.6156957149505615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5354305505752563},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5337142944335938},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5086970925331116},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4947352111339569},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4665662348270416},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.43290185928344727},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4231814444065094},{"id":"https://openalex.org/C23224414","wikidata":"https://www.wikidata.org/wiki/Q176769","display_name":"Hidden Markov model","level":2,"score":0.41258376836776733},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.3185330033302307},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3094148635864258},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09371712803840637},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2011.5990861","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2011.5990861","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2011 American Control Conference","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":12,"referenced_works":["https://openalex.org/W2002089154","https://openalex.org/W2056145119","https://openalex.org/W2084328577","https://openalex.org/W2097747115","https://openalex.org/W2099111195","https://openalex.org/W2115615578","https://openalex.org/W2116820941","https://openalex.org/W2122092249","https://openalex.org/W2157028949","https://openalex.org/W2169739344","https://openalex.org/W2478708596","https://openalex.org/W4206252072"],"related_works":["https://openalex.org/W2049315791","https://openalex.org/W2087949151","https://openalex.org/W2953483754","https://openalex.org/W2963823488","https://openalex.org/W2058117339","https://openalex.org/W1977193848","https://openalex.org/W1524267824","https://openalex.org/W201862490","https://openalex.org/W2133073401","https://openalex.org/W4210940113"],"abstract_inverted_index":{"Probabilistic":[0],"finite":[1,22],"state":[2,46,62],"automata":[3,24],"(P\u0393SA)":[4],"are":[5,33],"constructed":[6],"from":[7,25,67],"symbol":[8,26,50,68,82],"sequences":[9],"for":[10,86],"modeling":[11,89],"the":[12,72,92],"behavior":[13],"of":[14,21,52,81,94],"dynamical":[15],"systems.":[16],"This":[17],"paper":[18],"presents":[19],"construction":[20,40],"history":[23],"sequences;":[27],"such":[28],"automata,":[29],"called":[30],"D-Markov":[31],"machines,":[32],"structurally":[34],"simple":[35],"and":[36,60,91],"computationally":[37],"efficient.":[38],"The":[39],"procedure":[41],"is":[42,84],"based":[43],"on:":[44],"(i)":[45],"splitting":[47],"that":[48,64],"generates":[49],"blocks":[51,69,83],"different":[53],"lengths":[54],"according":[55],"to":[56,71],"their":[57],"relative":[58],"importance;":[59],"(ii)":[61],"merging":[63],"assimilates":[65],"histories":[66],"leading":[70],"same":[73],"symbolic":[74],"behavior.":[75],"A":[76],"metric":[77],"on":[78],"probability":[79],"distribution":[80],"introduced":[85],"trade-off":[87],"between":[88],"performance":[90],"number":[93],"PFSA":[95],"states.":[96],"These":[97],"algorithms":[98],"have":[99],"been":[100],"tested":[101],"by":[102],"two":[103],"examples.":[104]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}