{"id":"https://openalex.org/W4389542742","doi":"https://doi.org/10.1109/tac.2023.3341282","title":"Distributional Reachability for Markov Decision Processes: Theory and Applications","display_name":"Distributional Reachability for Markov Decision Processes: Theory and Applications","publication_year":2023,"publication_date":"2023-12-11","ids":{"openalex":"https://openalex.org/W4389542742","doi":"https://doi.org/10.1109/tac.2023.3341282"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2023.3341282","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3341282","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5012777183","display_name":"Yulong Gao","orcid":"https://orcid.org/0000-0003-2338-5487"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]},{"id":"https://openalex.org/I4210099977","display_name":"Institute for Futures Studies","ror":"https://ror.org/00x2kxt49","country_code":"SE","type":"facility","lineage":["https://openalex.org/I4210099977"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Yulong Gao","raw_affiliation_strings":["Department of Electrical and Electronic Engineering Imperial College London, London, U.K","Division of Decision and Control Systems, KTH Royal Institute of Technology, and with Digital Futures, Stockholm, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering Imperial College London, London, U.K","institution_ids":[]},{"raw_affiliation_string":"Division of Decision and Control Systems, KTH Royal Institute of Technology, and with Digital Futures, Stockholm, Sweden","institution_ids":["https://openalex.org/I4210099977","https://openalex.org/I86987016"]}]},{"author_position":"middle","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":["Department of Computer Science, University of Oxford, Oxford, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Oxford, Oxford, U.K","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100365448","display_name":"Lihua Xie","orcid":"https://orcid.org/0000-0002-7137-4136"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Lihua Xie","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045975901","display_name":"Karl Henrik Johansson","orcid":"https://orcid.org/0000-0001-9940-5929"},"institutions":[{"id":"https://openalex.org/I4210099977","display_name":"Institute for Futures Studies","ror":"https://ror.org/00x2kxt49","country_code":"SE","type":"facility","lineage":["https://openalex.org/I4210099977"]},{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Karl Henrik Johansson","raw_affiliation_strings":["Division of Decision and Control Systems, KTH Royal Institute of Technology, and with Digital Futures, Stockholm, Sweden"],"affiliations":[{"raw_affiliation_string":"Division of Decision and Control Systems, KTH Royal Institute of Technology, and with Digital Futures, Stockholm, Sweden","institution_ids":["https://openalex.org/I4210099977","https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5012777183"],"corresponding_institution_ids":["https://openalex.org/I4210099977","https://openalex.org/I86987016"],"apc_list":null,"apc_paid":null,"fwci":0.5245,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72830759,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"69","issue":"7","first_page":"4598","last_page":"4613"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9103000164031982,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9103000164031982,"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/reachability","display_name":"Reachability","score":0.9423128962516785},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.7284455895423889},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6383554339408875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5475696921348572},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5306828022003174},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4952057898044586},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4579528570175171},{"id":"https://openalex.org/keywords/reachability-problem","display_name":"Reachability problem","score":0.45711424946784973},{"id":"https://openalex.org/keywords/partially-observable-markov-decision-process","display_name":"Partially observable Markov decision process","score":0.4559602737426758},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4484555125236511},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.43938368558883667},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.41451969742774963},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.41387826204299927},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41064688563346863},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.378192663192749},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24804913997650146},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0673224925994873}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.9423128962516785},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.7284455895423889},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6383554339408875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5475696921348572},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5306828022003174},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4952057898044586},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4579528570175171},{"id":"https://openalex.org/C2777669093","wikidata":"https://www.wikidata.org/wiki/Q17141570","display_name":"Reachability problem","level":3,"score":0.45711424946784973},{"id":"https://openalex.org/C17098449","wikidata":"https://www.wikidata.org/wiki/Q176814","display_name":"Partially observable Markov decision process","level":4,"score":0.4559602737426758},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4484555125236511},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.43938368558883667},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.41451969742774963},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.41387826204299927},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41064688563346863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.378192663192749},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24804913997650146},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0673224925994873},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2023.3341282","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3341282","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5899999737739563}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1498432697","https://openalex.org/W1516256348","https://openalex.org/W1524886571","https://openalex.org/W1858982327","https://openalex.org/W1880805667","https://openalex.org/W1980146067","https://openalex.org/W1980848756","https://openalex.org/W1982929029","https://openalex.org/W2011418219","https://openalex.org/W2018087463","https://openalex.org/W2021112905","https://openalex.org/W2032100464","https://openalex.org/W2034725503","https://openalex.org/W2035537281","https://openalex.org/W2044375425","https://openalex.org/W2053807562","https://openalex.org/W2076337359","https://openalex.org/W2077328925","https://openalex.org/W2080813827","https://openalex.org/W2084772009","https://openalex.org/W2101620974","https://openalex.org/W2120107478","https://openalex.org/W2125422572","https://openalex.org/W2133193618","https://openalex.org/W2141289380","https://openalex.org/W2153504150","https://openalex.org/W2165161585","https://openalex.org/W2165469059","https://openalex.org/W2182510773","https://openalex.org/W2212241622","https://openalex.org/W2410243683","https://openalex.org/W2593267253","https://openalex.org/W2809317103","https://openalex.org/W2942899565","https://openalex.org/W2951559786","https://openalex.org/W2963907727","https://openalex.org/W2964314311","https://openalex.org/W2972554973","https://openalex.org/W3081304589","https://openalex.org/W3102470477","https://openalex.org/W3146690794","https://openalex.org/W4206471589","https://openalex.org/W4206497039","https://openalex.org/W4214717370","https://openalex.org/W4245164763","https://openalex.org/W4298023569"],"related_works":["https://openalex.org/W2096013579","https://openalex.org/W1589140671","https://openalex.org/W1760611253","https://openalex.org/W52153049","https://openalex.org/W2951545791","https://openalex.org/W1515117609","https://openalex.org/W2294884454","https://openalex.org/W2047831585","https://openalex.org/W4323315247","https://openalex.org/W4253760428"],"abstract_inverted_index":{"We":[0,40,86],"study":[1,138],"distributional":[2,50],"reachability":[3,18,31,51],"for":[4,45,135],"finite":[5],"Markov":[6],"decision":[7],"processes":[8],"(MDPs)":[9],"from":[10,64],"a":[11,65,81,91,130],"control":[12],"theoretical":[13],"perspective.":[14],"Unlike":[15],"standard":[16],"probabilistic":[17],"notions,":[19],"which":[20],"are":[21],"defined":[22],"over":[23,34],"MDP":[24],"states":[25],"or":[26],"trajectories,":[27],"in":[28],"this":[29,100],"paper":[30],"is":[32,102],"formulated":[33],"the":[35,46,53,71,96,103,106,115,137,142,145,156],"space":[36],"of":[37,67,83,114,132,139,144,147,158],"probability":[38],"distributions.":[39,85],"propose":[41],"two":[42],"set-valued":[43],"maps":[44],"forward":[47,54,97],"and":[48,99,119,149],"backward":[49,72,122],"problems:":[52],"map":[55,73,98,123],"collects":[56,74],"all":[57,75],"state":[58,76,107,117],"distributions":[59,77,108],"that":[60,78,88],"can":[61,79],"be":[62],"reached":[63],"set":[66,82,94,101],"initial":[68,116],"distributions,":[69],"while":[70],"reach":[80],"final":[84],"show":[87],"there":[89],"exists":[90],"maximal":[92],"invariant":[93],"under":[95],"region":[104],"where":[105],"eventually":[109],"always":[110],"belong":[111],"to,":[112],"regardless":[113],"distribution":[118],"policy.":[120],"The":[121],"provides":[124],"an":[125],"alternative":[126],"way":[127],"to":[128],"solve":[129],"class":[131],"important":[133],"problems":[134],"MDPs:":[136],"controlled":[140],"invariance,":[141],"characterization":[143],"domain":[146],"attraction,":[148],"reach-avoid":[150],"problems.":[151],"Three":[152],"case":[153],"studies":[154],"illustrate":[155],"effectiveness":[157],"our":[159],"approach.":[160]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}