{"id":"https://openalex.org/W2745094767","doi":"https://doi.org/10.1137/16m1079397","title":"Verification of General Markov Decision Processes by Approximate Similarity Relations and Policy Refinement","display_name":"Verification of General Markov Decision Processes by Approximate Similarity Relations and Policy Refinement","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2745094767","doi":"https://doi.org/10.1137/16m1079397","mag":"2745094767"},"language":"en","primary_location":{"id":"doi:10.1137/16m1079397","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1079397","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-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/A5025184822","display_name":"Sofie Haesaert","orcid":"https://orcid.org/0000-0003-4749-4688"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Sofie Haesaert","raw_affiliation_strings":["Eindhoven University of Technology, Eindhoven, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017334634","display_name":"Sadegh Soudjani","orcid":"https://orcid.org/0000-0003-1922-6678"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Sadegh Esmaeil Zadeh Soudjani","raw_affiliation_strings":["[University of Oxford, Oxford, UK]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[University of Oxford, Oxford, UK]","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091718585","display_name":"Alessandro Abate","orcid":"https://orcid.org/0000-0002-5627-9093"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Alessandro Abate","raw_affiliation_strings":["[University of Oxford, Oxford, UK]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[University of Oxford, Oxford, UK]","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.4995,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":{"value":0.96516546,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"55","issue":"4","first_page":"2333","last_page":"2367"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9994999766349792,"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/T10142","display_name":"Formal Methods in Verification","score":0.9994999766349792,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9843999743461609,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.958299994468689,"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-decision-process","display_name":"Markov decision process","score":0.7257055640220642},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6773510575294495},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.644829273223877},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.599536657333374},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.5950613021850586},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5414227843284607},{"id":"https://openalex.org/keywords/markov-kernel","display_name":"Markov kernel","score":0.5334233045578003},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5216736793518066},{"id":"https://openalex.org/keywords/variable-order-markov-model","display_name":"Variable-order Markov model","score":0.48773273825645447},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4770466685295105},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.4713815152645111},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.446059912443161},{"id":"https://openalex.org/keywords/partially-observable-markov-decision-process","display_name":"Partially observable Markov decision process","score":0.4401472806930542},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4219967722892761},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.389174222946167},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.36803895235061646},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36731618642807007},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32951247692108154},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1928863823413849},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08951148390769958}],"concepts":[{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.7257055640220642},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6773510575294495},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.644829273223877},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.599536657333374},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.5950613021850586},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5414227843284607},{"id":"https://openalex.org/C106666656","wikidata":"https://www.wikidata.org/wiki/Q6771323","display_name":"Markov kernel","level":5,"score":0.5334233045578003},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5216736793518066},{"id":"https://openalex.org/C54907487","wikidata":"https://www.wikidata.org/wiki/Q7915688","display_name":"Variable-order Markov model","level":4,"score":0.48773273825645447},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4770466685295105},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.4713815152645111},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.446059912443161},{"id":"https://openalex.org/C17098449","wikidata":"https://www.wikidata.org/wiki/Q176814","display_name":"Partially observable Markov decision process","level":4,"score":0.4401472806930542},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4219967722892761},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.389174222946167},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.36803895235061646},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36731618642807007},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32951247692108154},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1928863823413849},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08951148390769958},{"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/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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":3,"locations":[{"id":"doi:10.1137/16m1079397","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1079397","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:publications/7ef8ec22-80df-460f-b361-2081952bc9fc","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/7ef8ec22-80df-460f-b361-2081952bc9fc","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Haesaert, S, Esmaeil, S, Soudjani, S & Abate, A 2017, 'Verification of general Markov decision processes by approximate similarity relations and policy refinement', SIAM Journal on Control and Optimization, vol. 55, no. 4, pp. 2333-2367. https://doi.org/10.1137/16M1079397","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:tue:oai:pure.tue.nl:publications/7ef8ec22-80df-460f-b361-2081952bc9fc","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/7ef8ec22-80df-460f-b361-2081952bc9fc","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 55(4), 2333 - 2367. Society for Industrial and Applied Mathematics (SIAM)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7900000214576721,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W660320","https://openalex.org/W1512937499","https://openalex.org/W1529558080","https://openalex.org/W1535793628","https://openalex.org/W1565544898","https://openalex.org/W1689221763","https://openalex.org/W1850900101","https://openalex.org/W1956206657","https://openalex.org/W1967954124","https://openalex.org/W1973013779","https://openalex.org/W1976268573","https://openalex.org/W1983134369","https://openalex.org/W1987073190","https://openalex.org/W2015172530","https://openalex.org/W2040640105","https://openalex.org/W2041243111","https://openalex.org/W2044260813","https://openalex.org/W2047671935","https://openalex.org/W2063036328","https://openalex.org/W2070589948","https://openalex.org/W2080813827","https://openalex.org/W2100893927","https://openalex.org/W2108886305","https://openalex.org/W2122994575","https://openalex.org/W2126147754","https://openalex.org/W2171282796","https://openalex.org/W2289918698","https://openalex.org/W2487779201","https://openalex.org/W3098916204"],"related_works":["https://openalex.org/W1985664346","https://openalex.org/W2130519334","https://openalex.org/W3023188449","https://openalex.org/W3102128462","https://openalex.org/W2382132287","https://openalex.org/W3104611551","https://openalex.org/W2363310627","https://openalex.org/W2353444478","https://openalex.org/W4240129243","https://openalex.org/W1504767525"],"abstract_inverted_index":{"In":[0],"this":[1],"work":[2],"we":[3],"introduce":[4],"new":[5,47,78],"approximate":[6],"similarity":[7,80],"relations":[8],"that":[9,76],"are":[10,29],"shown":[11],"to":[12],"be":[13,93],"key":[14],"for":[15,58,89,101,106],"policy":[16],"(or":[17,43],"control)":[18],"synthesis":[19],"over":[20,64,96],"general":[21,97],"Markov":[22,31,98],"decision":[23,32,99],"processes.":[24],"The":[25,46],"models":[26],"of":[27,53,86],"interest":[28],"discrete-time":[30],"processes,":[33],"endowed":[34],"with":[35],"uncountably":[36],"infinite":[37],"state":[38],"spaces":[39],"and":[40,69,104],"metric":[41],"output":[42],"observation)":[44],"spaces.":[45],"relations,":[48,81],"underpinned":[49],"by":[50,83],"the":[51,77],"use":[52],"metrics,":[54],"allow,":[55],"in":[56],"particular,":[57],"a":[59,84],"useful":[60],"trade-off":[61],"between":[62,71],"deviations":[63],"probability":[65],"distributions":[66],"on":[67],"states,":[68],"distances":[70],"model":[72],"outputs.":[73],"We":[74],"show":[75],"probabilistic":[79],"inspired":[82],"notion":[85],"simulation":[87],"developed":[88],"finite-state":[90],"models,":[91],"can":[92],"effectively":[94],"employed":[95],"processes":[100],"verification":[102],"purposes,":[103],"specifically":[105],"control":[107],"refinement":[108],"from":[109],"abstract":[110],"models.":[111]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
