{"id":"https://openalex.org/W2149446687","doi":"https://doi.org/10.1109/acc.2008.4587287","title":"Robust Markov Decision Processes using Sigma Point sampling","display_name":"Robust Markov Decision Processes using Sigma Point sampling","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2149446687","doi":"https://doi.org/10.1109/acc.2008.4587287","mag":"2149446687"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2008.4587287","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2008.4587287","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 American Control Conference","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/A5065742112","display_name":"Luca F. Bertuccelli","orcid":null},"institutions":[{"id":"https://openalex.org/I46020346","display_name":"American Institute of Aeronautics and Astronautics","ror":"https://ror.org/00a1rzv11","country_code":"US","type":"other","lineage":["https://openalex.org/I46020346"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"L. F. Bertuccelli","raw_affiliation_strings":["Department of Aeronautics and Astronautics, MIT, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Aeronautics and Astronautics, MIT, Cambridge, MA, USA","institution_ids":["https://openalex.org/I46020346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011665886","display_name":"Jonathan P. How","orcid":"https://orcid.org/0000-0001-8576-1930"},"institutions":[{"id":"https://openalex.org/I46020346","display_name":"American Institute of Aeronautics and Astronautics","ror":"https://ror.org/00a1rzv11","country_code":"US","type":"other","lineage":["https://openalex.org/I46020346"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. P. How","raw_affiliation_strings":["Department of Aeronautics and Astronautics, MIT, Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Aeronautics and Astronautics, MIT, Cambridge, MA, USA","institution_ids":["https://openalex.org/I46020346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065742112"],"corresponding_institution_ids":["https://openalex.org/I46020346"],"apc_list":null,"apc_paid":null,"fwci":4.1386,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.94077501,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"5003","last_page":"5008"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9860000014305115,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9800999760627747,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/markov-decision-process","display_name":"Markov decision process","score":0.7292040586471558},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6675101518630981},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6370521783828735},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5315651297569275},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.49512043595314026},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.4872492849826813},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4860022962093353},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.45794859528541565},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4435034394264221},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.4341866970062256},{"id":"https://openalex.org/keywords/importance-sampling","display_name":"Importance sampling","score":0.4287509322166443},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4182675778865814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.286925345659256},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.21302154660224915},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1959308385848999},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.14052730798721313},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.11174890398979187},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10959571599960327},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08838385343551636}],"concepts":[{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.7292040586471558},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6675101518630981},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6370521783828735},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5315651297569275},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.49512043595314026},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.4872492849826813},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4860022962093353},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.45794859528541565},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4435034394264221},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.4341866970062256},{"id":"https://openalex.org/C52740198","wikidata":"https://www.wikidata.org/wiki/Q1539564","display_name":"Importance sampling","level":3,"score":0.4287509322166443},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4182675778865814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.286925345659256},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.21302154660224915},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1959308385848999},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.14052730798721313},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.11174890398979187},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10959571599960327},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08838385343551636},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2008.4587287","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2008.4587287","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 American Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.832.2801","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.832.2801","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.nt.ntnu.no/users/skoge/prost/proceedings/acc08/data/papers/1085.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7900000214576721,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1526144783","https://openalex.org/W1667165204","https://openalex.org/W1965878388","https://openalex.org/W2036488048","https://openalex.org/W2036931518","https://openalex.org/W2043380577","https://openalex.org/W2046245205","https://openalex.org/W2069045459","https://openalex.org/W2098432798","https://openalex.org/W2099724000","https://openalex.org/W2108692343","https://openalex.org/W2115447855","https://openalex.org/W2121193231","https://openalex.org/W2123225686","https://openalex.org/W2123487311","https://openalex.org/W2142500134","https://openalex.org/W2148474709","https://openalex.org/W2165622730","https://openalex.org/W6631529720","https://openalex.org/W6677821286"],"related_works":["https://openalex.org/W2616808126","https://openalex.org/W2004597074","https://openalex.org/W4213214852","https://openalex.org/W2020898051","https://openalex.org/W4225090638","https://openalex.org/W2512014291","https://openalex.org/W1631513968","https://openalex.org/W2287746757","https://openalex.org/W3195104199","https://openalex.org/W2728757335"],"abstract_inverted_index":{"This":[0,116],"paper":[1,64,117],"presents":[2],"a":[3,61,73,82,128],"new":[4],"robust":[5,25,75,93,146],"decision":[6],"making":[7],"algorithm":[8],"that":[9,66],"accounts":[10],"for":[11,35,95],"model":[12,43,59],"uncertainty":[13],"in":[14,72,127,137],"finite":[15],"state/action,":[16],"Markov":[17],"Decision":[18],"Processes":[19],"(MDPs).":[20],"In":[21,52],"particular":[22],"we":[23],"generate":[24],"and":[26],"optimal":[27,150],"control":[28],"policies":[29],"using":[30],"Sigma":[31],"Point":[32],"sampling":[33],"methods":[34],"dynamic":[36],"multi-stage":[37],"problems":[38],"where":[39],"the":[40,45,53,67,90,96,101,108,119,138],"probabilistic":[41],"transition":[42,58],"of":[44,55,70,85,89,100,141],"MDP":[46],"may":[47,77],"be":[48,78,104],"fixed,":[49],"but":[50],"uncertain.":[51],"case":[54,98],"poorly":[56],"known":[57],"governing":[60],"MDP,":[62],"this":[63],"shows":[65],"total":[68,139],"number":[69,84,140],"scenarios":[71],"scenario-based":[74],"optimization":[76],"decreased":[79],"by":[80,106],"generating":[81],"small":[83],"appropriately":[86],"chosen":[87],"samples":[88],"model.":[91],"The":[92,132],"policy":[94],"worst-":[97],"instance":[99],"data":[102],"can":[103],"approximated":[105],"identifying":[107],"minimum":[109],"objective":[110],"function":[111],"obtained":[112],"from":[113],"these":[114],"realizations.":[115],"compares":[118],"proposed":[120],"approach":[121],"to":[122,144],"more":[123],"direct":[124],"sampling-based":[125],"approaches":[126],"machine":[129],"repair":[130],"problem.":[131],"numerical":[133],"examples":[134],"show":[135],"reduction":[136],"simulations":[142],"required":[143],"obtain":[145],"solutions":[147],"while":[148],"achieving":[149],"results.":[151]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}