{"id":"https://openalex.org/W26972951","doi":null,"title":"Topological value iteration algorithm for Markov decision processes","display_name":"Topological value iteration algorithm for Markov decision processes","publication_year":2007,"publication_date":"2007-01-06","ids":{"openalex":"https://openalex.org/W26972951","mag":"26972951"},"language":"en","primary_location":{"id":"mag:26972951","doi":null,"is_oa":false,"landing_page_url":"https://ijcai.org/papers07/Papers/IJCAI07-300.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306419999","display_name":"International Joint Conference on Artificial Intelligence","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International Joint Conference on Artificial Intelligence","raw_type":null},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":[],"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/A5058646158","display_name":"Peng Dai","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peng Dai","raw_affiliation_strings":["[Computer Science Department University of Kentucky, Lexington, KY]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[Computer Science Department University of Kentucky, Lexington, KY]","institution_ids":["https://openalex.org/I143302722"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030407322","display_name":"Judy Goldsmith","orcid":"https://orcid.org/0000-0002-8383-5390","observed_orcids":["https://orcid.org/0000-0002-8383-5390"]},"institutions":[{"id":"https://openalex.org/I143302722","display_name":"University of Kentucky","ror":"https://ror.org/02k3smh20","country_code":"US","type":"education","lineage":["https://openalex.org/I143302722"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Judy Goldsmith","raw_affiliation_strings":["[Computer Science Department University of Kentucky, Lexington, KY]"],"raw_orcid":"https://orcid.org/0000-0002-8383-5390","affiliations":[{"raw_affiliation_string":"[Computer Science Department University of Kentucky, Lexington, KY]","institution_ids":["https://openalex.org/I143302722"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I143302722"],"apc_list":null,"apc_paid":null,"fwci":4.9737,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":{"value":0.96433551,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1860","last_page":"1865"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.986299991607666,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.986299991607666,"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/T10906","display_name":"AI-based Problem Solving and Planning","score":0.009200000204145908,"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/T11574","display_name":"Artificial Intelligence in Games","score":0.0006000000284984708,"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":0.9869999885559082},{"id":"https://openalex.org/keywords/value-iteration","display_name":"value iteration","score":0.9570000171661377},{"id":"https://openalex.org/keywords/topological-order","display_name":"topological order","score":0.6060000061988831},{"id":"https://openalex.org/keywords/state-space-structure","display_name":"state space structure","score":0.5830000042915344},{"id":"https://openalex.org/keywords/lao","display_name":"Lao","score":0.5130000114440918},{"id":"https://openalex.org/keywords/hypertensive-disorders-of-pregnancy","display_name":"hypertensive disorders of pregnancy","score":0.906000018119812},{"id":"https://openalex.org/keywords/reachability-analysis","display_name":"reachability analysis","score":0.7269999980926514}],"concepts":[{"id":"https://openalex.org/C2780945871","wikidata":"https://www.wikidata.org/wiki/Q194274","display_name":"Backup","level":2,"score":0.843510627746582},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.8347249031066895},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.7855941653251648},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.7534568905830383},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7013891935348511},{"id":"https://openalex.org/C17098449","wikidata":"https://www.wikidata.org/wiki/Q176814","display_name":"Partially observable Markov decision process","level":4,"score":0.6456236839294434},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6187289357185364},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6094943881034851},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5509365200996399},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5196934342384338},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.45471832156181335},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.44632408022880554},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4330029785633087},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.350844144821167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.320290207862854},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.14912480115890503},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"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/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:26972951","doi":null,"is_oa":false,"landing_page_url":"https://ijcai.org/papers07/Papers/IJCAI07-300.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306419999","display_name":"International Joint Conference on Artificial Intelligence","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International Joint Conference on Artificial Intelligence","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W108082272","https://openalex.org/W196386631","https://openalex.org/W301824129","https://openalex.org/W1530444831","https://openalex.org/W1566917201","https://openalex.org/W1569054662","https://openalex.org/W2009533501","https://openalex.org/W2028145673","https://openalex.org/W2061504687","https://openalex.org/W2064203730","https://openalex.org/W2099619710","https://openalex.org/W2105757562","https://openalex.org/W2110338773","https://openalex.org/W2119567691","https://openalex.org/W2147670284","https://openalex.org/W2168024904","https://openalex.org/W2170400507","https://openalex.org/W2341171179","https://openalex.org/W3004540582","https://openalex.org/W3145128584"],"related_works":["https://openalex.org/W2110016544","https://openalex.org/W1948589467","https://openalex.org/W7014000748","https://openalex.org/W2018202777","https://openalex.org/W1988032127","https://openalex.org/W1985592044","https://openalex.org/W4301747192","https://openalex.org/W2952140773","https://openalex.org/W4410034631","https://openalex.org/W1509964464"],"abstract_inverted_index":{"Value":[0,101],"Iteration":[1,102],"is":[2,134],"an":[3,97],"inefficient":[4],"algorithm":[5,98],"for":[6],"Markov":[7],"decision":[8],"processes":[9],"(MDPs)":[10],"because":[11],"it":[12],"puts":[13],"the":[14,22,75,79,87,92,107,114,129],"majority":[15],"of":[16,56,70,78,91,109,116],"its":[17],"effort":[18],"into":[19],"backing":[20,119],"up":[21,120],"entire":[23],"state":[24,93],"space,":[25],"which":[26],"turns":[27],"out":[28],"to":[29,37,63,85],"be":[30],"unnecessary":[31,66,110],"in":[32],"many":[33,41],"cases.":[34],"In":[35],"order":[36],"overcome":[38],"this":[39],"problem,":[40],"approaches":[42,72],"have":[43],"been":[44],"proposed.":[45],"Among":[46],"them,":[47],"LAO,":[48,144],"LRTDP":[49,145],"and":[50,61,118,146],"HDP":[51,147],"are":[52],"state-of-theart":[53],"ones.":[54],"All":[55],"these":[57,71,83],"use":[58,82],"reachability":[59],"analysis":[60],"heuristics":[62],"avoid":[64],"some":[65],"backups.":[67],"However,":[68],"none":[69],"fully":[73],"exploit":[74],"graphical":[76],"features":[77,84],"MDPs":[80,117],"or":[81],"yield":[86],"best":[88],"backup":[89,130],"sequence":[90,131],"space.":[94],"We":[95,126],"introduce":[96],"named":[99],"Topological":[100],"(TVI)":[103],"that":[104,128,140],"can":[105],"circumvent":[106],"problem":[108],"backups":[111],"by":[112],"detecting":[113],"structure":[115],"states":[121],"based":[122],"on":[123,148],"topological":[124],"sequences.":[125],"prove":[127],"TVI":[132,141],"applies":[133],"optimal.":[135],"Our":[136],"experimental":[137],"results":[138],"show":[139],"outperforms":[142],"VI,":[143],"our":[149],"benchmark":[150],"MDPs.":[151]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":4}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}