{"id":"https://openalex.org/W4405844768","doi":"https://doi.org/10.1109/tac.2024.3523847","title":"Approximate Constrained Discounted Dynamic Programming With Uniform Feasibility and Optimality","display_name":"Approximate Constrained Discounted Dynamic Programming With Uniform Feasibility and Optimality","publication_year":2024,"publication_date":"2024-12-27","ids":{"openalex":"https://openalex.org/W4405844768","doi":"https://doi.org/10.1109/tac.2024.3523847"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3523847","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3523847","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/A5041693183","display_name":"Hyeong Soo Chang","orcid":"https://orcid.org/0000-0003-3298-0018"},"institutions":[{"id":"https://openalex.org/I148751991","display_name":"Sogang University","ror":"https://ror.org/056tn4839","country_code":"KR","type":"education","lineage":["https://openalex.org/I148751991"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Hyeong Soo Chang","raw_affiliation_strings":["Department of Computer Science and Engineering, Sogang University, Seoul, South Korea","Department of Computer Science and Engineering, Sogang University, Seoul, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Sogang University, Seoul, South Korea","institution_ids":["https://openalex.org/I148751991"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, Sogang University, Seoul, Korea","institution_ids":["https://openalex.org/I148751991"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041693183"],"corresponding_institution_ids":["https://openalex.org/I148751991"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27977802,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"70","issue":"6","first_page":"4031","last_page":"4036"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9632999897003174,"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9632999897003174,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9581999778747559,"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/T10969","display_name":"Water resources management and optimization","score":0.9111999869346619,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.669143557548523},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6544604897499084},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.522452712059021},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35920214653015137}],"concepts":[{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.669143557548523},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6544604897499084},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.522452712059021},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35920214653015137}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2024.3523847","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3523847","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W163688550","https://openalex.org/W1969719302","https://openalex.org/W1973396645","https://openalex.org/W1975802435","https://openalex.org/W2013479759","https://openalex.org/W2027579135","https://openalex.org/W2027771293","https://openalex.org/W2029958121","https://openalex.org/W2054226461","https://openalex.org/W2065365821","https://openalex.org/W2069873069","https://openalex.org/W2092720955","https://openalex.org/W2099275099","https://openalex.org/W2100857832","https://openalex.org/W2123649906","https://openalex.org/W2128347943","https://openalex.org/W2140446964","https://openalex.org/W2145559552","https://openalex.org/W2192958477","https://openalex.org/W2879935397","https://openalex.org/W2978834951","https://openalex.org/W3023446527","https://openalex.org/W3134671698","https://openalex.org/W3210169707","https://openalex.org/W4213251304","https://openalex.org/W4245744559","https://openalex.org/W4285301790","https://openalex.org/W4376456819","https://openalex.org/W4392514157","https://openalex.org/W4399174519"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W814774360"],"abstract_inverted_index":{"An":[0],"important":[1],"question":[2,81,112],"about":[3,115],"finite":[4,132],"constrained":[5],"Markov":[6],"decision":[7],"process":[8],"(CMDP)":[9],"problem":[10,49,134,148],"is":[11,61,172],"if":[12,46,90],"there":[13,101],"exists":[14,26],"a":[15,19,142,176,204],"condition":[16,52],"under":[17],"which":[18],"uniformly":[20,23],"optimal":[21,39,85],"and":[22,33,45,166],"feasible":[24],"policy":[25,86],"in":[27,74,119,144],"the":[28,38,47,51,63,66,75,78,91,99,110,120,157],"set":[29],"of":[30,65,82,93,159],"deterministic,":[31],"history-independent,":[32],"stationary":[34],"policies":[35],"that":[36,130],"achieves":[37],"value":[40],"at":[41],"all":[42],"initial":[43,206],"states":[44],"CMDP":[48,94,133,147],"with":[50,203],"can":[53],"be":[54],"solved":[55],"by":[56,71],"dynamic":[57],"programming":[58],"(DP).":[59],"This":[60],"because":[62],"crux":[64],"unconstrained":[67],"MDP":[68],"theory":[69],"developed":[70],"Bellman":[72],"lies":[73],"answer":[76,126],"to":[77,87,127,190],"same":[79],"existence":[80],"such":[83],"an":[84,187],"MDP.":[88],"Even":[89],"topic":[92],"has":[95,102],"been":[96,104],"studied":[97],"over":[98],"years,":[100],"not":[103],"any":[105,131],"relevant":[106],"responsive":[107],"work":[108],"since":[109],"open":[111],"was":[113],"raised":[114],"three":[116],"decades":[117],"ago":[118],"literature.":[121],"We":[122,174],"establish":[123],"(as":[124],"some":[125],"this":[128],"question)":[129],"<inline-formula":[135,149,160,167,181,191,197],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[136,150,161,168,182,192,198],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[137,151,162,169,183,193,199],"notation=\"LaTeX\">$":[138,163,194,200],"\\mathsf{M}^{c}$</tex-math></inline-formula>":[139,195],"\u201ccontains\u201d":[140],"inherently":[141],"DP-structure":[143],"its":[145],"\u201csubordinate\u201d":[146],"notation=\"LaTeX\">$\\hat{":[152],"\\mathsf{M}":[153,164,201],"}^{c}$</tex-math></inline-formula>":[154,171,185],"induced":[155],"from":[156],"parameters":[158],"^{c}$</tex-math></inline-formula>":[165,202],"notation=\"LaTeX\">$\\hat{\\mathsf{M}":[170,184],"DP-solvable.":[173],"drive":[175],"policy-iteration-type":[177],"algorithm":[178],"for":[179],"solving":[180],"providing":[186],"approximate":[188],"solution":[189],"or":[196],"fixed":[205],"state.":[207]},"counts_by_year":[],"updated_date":"2025-12-23T23:11:35.936235","created_date":"2025-10-10T00:00:00"}