{"id":"https://openalex.org/W1517795378","doi":"https://doi.org/10.1109/cdc.2002.1184713","title":"On a representation of Varadhan's functional as a convex minimization problem","display_name":"On a representation of Varadhan's functional as a convex minimization problem","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W1517795378","doi":"https://doi.org/10.1109/cdc.2002.1184713","mag":"1517795378"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184713","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184713","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","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/A5025915857","display_name":"Rolando Cavazos\u2013Cadena","orcid":"https://orcid.org/0000-0002-0973-9296"},"institutions":[{"id":"https://openalex.org/I70546738","display_name":"Universidad Aut\u00f3noma Agraria Antonio Narro","ror":"https://ror.org/00ads0y69","country_code":"MX","type":"education","lineage":["https://openalex.org/I70546738"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"R. Cavazos-Cadena","raw_affiliation_strings":["Departamento de Estad\u00edstica y C\u00e1lculo, Universidad Aut\u00f3noma Agraria Antonio Narro, Saltillo, Coahuila, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de Estad\u00edstica y C\u00e1lculo, Universidad Aut\u00f3noma Agraria Antonio Narro, Saltillo, Coahuila, Mexico","institution_ids":["https://openalex.org/I70546738"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079524005","display_name":"Daniel Hern\u00e1ndez\u2013Hern\u00e1ndez","orcid":"https://orcid.org/0000-0002-3948-9179"},"institutions":[{"id":"https://openalex.org/I124618812","display_name":"Mathematics Research Center","ror":"https://ror.org/02nhmp827","country_code":"MX","type":"facility","lineage":["https://openalex.org/I124618812"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"D. Hernandez-Hernandez","raw_affiliation_strings":["Centro de Investigaci\u00f3n en Matem\u00e1ticas, Guanajuato, Mexico"],"affiliations":[{"raw_affiliation_string":"Centro de Investigaci\u00f3n en Matem\u00e1ticas, Guanajuato, Mexico","institution_ids":["https://openalex.org/I124618812"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025915857"],"corresponding_institution_ids":["https://openalex.org/I70546738"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05234803,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"1398","last_page":"1401"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9936000108718872,"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":0.9936000108718872,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9805999994277954,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9591000080108643,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/mathematical-optimization","display_name":"Mathematical optimization","score":0.5671733021736145},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.5590991377830505},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5436420440673828},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5257996916770935},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5181626081466675},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.518122136592865},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.493103951215744},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48479002714157104},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4747890830039978},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.43739330768585205},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.43369102478027344},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.4194800555706024},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3815563917160034},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13316687941551208}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5671733021736145},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.5590991377830505},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5436420440673828},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5257996916770935},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5181626081466675},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.518122136592865},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.493103951215744},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48479002714157104},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4747890830039978},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.43739330768585205},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.43369102478027344},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.4194800555706024},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3815563917160034},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13316687941551208},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2002.1184713","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184713","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","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/W1589395967","https://openalex.org/W1604028960","https://openalex.org/W2059120410","https://openalex.org/W2060921867","https://openalex.org/W2068782949","https://openalex.org/W2088413745","https://openalex.org/W2140282437","https://openalex.org/W2180192350","https://openalex.org/W2334782222","https://openalex.org/W2502318419","https://openalex.org/W4210869902","https://openalex.org/W4245744559"],"related_works":["https://openalex.org/W4294294347","https://openalex.org/W2279239548","https://openalex.org/W115379796","https://openalex.org/W2404658402","https://openalex.org/W2610298398","https://openalex.org/W4281992692","https://openalex.org/W4233426741","https://openalex.org/W2105228010","https://openalex.org/W164473625","https://openalex.org/W122023996"],"abstract_inverted_index":{"This":[0],"work":[1],"deals":[2],"with":[3,6,10],"Markov":[4,21],"chains":[5],"finite":[7],"state":[8],"endowed":[9],"a":[11,24,61,73],"real":[12],"valued":[13],"cost":[14,50],"function.":[15,51],"It":[16],"is":[17,34,58],"assumed":[18],"that":[19],"the":[20,29,42,69,77,83],"process":[22],"has":[23],"single":[25],"recurrent":[26],"class,":[27],"but":[28],"set":[30],"of":[31,45,47,55,63,68,72,85],"transient":[32],"states":[33],"not":[35],"necessarily":[36],"empty.":[37],"The":[38,52],"Varadhan's":[39],"functional":[40,65],"measures":[41],"exponential":[43],"rate":[44],"growth":[46],"an":[48],"aggregated":[49],"main":[53],"goal":[54],"this":[56,64],"paper":[57],"to":[59],"establish":[60],"representation":[62],"in":[66],"terms":[67],"optimal":[70],"value":[71],"minimization":[74],"problem":[75],"on":[76],"Euclidean":[78],"space":[79],"whose":[80],"dimension":[81],"equals":[82],"number":[84],"states.":[86]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}