{"id":"https://openalex.org/W1542204074","doi":"https://doi.org/10.23919/ecc.2013.6669809","title":"A stopping rule for simultaneous perturbation stochastic approximation","display_name":"A stopping rule for simultaneous perturbation stochastic approximation","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1542204074","doi":"https://doi.org/10.23919/ecc.2013.6669809","mag":"1542204074"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2013.6669809","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669809","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","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/A5088148601","display_name":"Takayuki Wada","orcid":"https://orcid.org/0000-0002-7342-9057"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takayuki Wada","raw_affiliation_strings":["Osaka Daigaku, Suita, Osaka, JP","Dept. of Inf. & Phys. Sci., Osaka Univ., Suita, Japan"],"affiliations":[{"raw_affiliation_string":"Osaka Daigaku, Suita, Osaka, JP","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Dept. of Inf. & Phys. Sci., Osaka Univ., Suita, Japan","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007759108","display_name":"Yasumasa Fujisaki","orcid":"https://orcid.org/0000-0003-1529-1093"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yasumasa Fujisaki","raw_affiliation_strings":["Osaka Daigaku, Suita, Osaka, JP","Dept. of Inf. & Phys. Sci., Osaka Univ., Suita, Japan"],"affiliations":[{"raw_affiliation_string":"Osaka Daigaku, Suita, Osaka, JP","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Dept. of Inf. & Phys. Sci., Osaka Univ., Suita, Japan","institution_ids":["https://openalex.org/I98285908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088148601"],"corresponding_institution_ids":["https://openalex.org/I98285908"],"apc_list":null,"apc_paid":null,"fwci":2.4656,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.89017846,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"644","last_page":"649"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11195","display_name":"Simulation Techniques and Applications","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11195","display_name":"Simulation Techniques and Applications","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9919000267982483,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/simultaneous-perturbation-stochastic-approximation","display_name":"Simultaneous perturbation stochastic approximation","score":0.8998228311538696},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5869698524475098},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5763891935348511},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5650142431259155},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5296708345413208},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5181697607040405},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48584577441215515},{"id":"https://openalex.org/keywords/stopping-rule","display_name":"Stopping rule","score":0.4761904776096344},{"id":"https://openalex.org/keywords/stochastic-approximation","display_name":"Stochastic approximation","score":0.47507113218307495},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.46586254239082336},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4367339611053467},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4311738908290863},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.42971891164779663},{"id":"https://openalex.org/keywords/optimal-stopping","display_name":"Optimal stopping","score":0.41100236773490906},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.3808990716934204},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36484232544898987},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07682079076766968}],"concepts":[{"id":"https://openalex.org/C2779880469","wikidata":"https://www.wikidata.org/wiki/Q17084424","display_name":"Simultaneous perturbation stochastic approximation","level":3,"score":0.8998228311538696},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5869698524475098},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5763891935348511},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5650142431259155},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5296708345413208},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5181697607040405},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48584577441215515},{"id":"https://openalex.org/C2983961125","wikidata":"https://www.wikidata.org/wiki/Q1288707","display_name":"Stopping rule","level":2,"score":0.4761904776096344},{"id":"https://openalex.org/C55479107","wikidata":"https://www.wikidata.org/wiki/Q97663916","display_name":"Stochastic approximation","level":3,"score":0.47507113218307495},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.46586254239082336},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4367339611053467},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4311738908290863},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.42971891164779663},{"id":"https://openalex.org/C99414536","wikidata":"https://www.wikidata.org/wiki/Q7098950","display_name":"Optimal stopping","level":2,"score":0.41100236773490906},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.3808990716934204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36484232544898987},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07682079076766968},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2013.6669809","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669809","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W136674921","https://openalex.org/W203276351","https://openalex.org/W1515569264","https://openalex.org/W1986077525","https://openalex.org/W2004134002","https://openalex.org/W2033640106","https://openalex.org/W2060279291","https://openalex.org/W2066012390","https://openalex.org/W2099461518","https://openalex.org/W2106147350","https://openalex.org/W2108916630","https://openalex.org/W2113015548","https://openalex.org/W2115247028","https://openalex.org/W2117692001","https://openalex.org/W2118824089","https://openalex.org/W2121362876","https://openalex.org/W2124289529","https://openalex.org/W2127337868","https://openalex.org/W2135276340","https://openalex.org/W2143736538","https://openalex.org/W2150901859","https://openalex.org/W2156253584","https://openalex.org/W2156326090","https://openalex.org/W2162579321","https://openalex.org/W2804219449","https://openalex.org/W3141595720","https://openalex.org/W3151431871"],"related_works":["https://openalex.org/W2038213655","https://openalex.org/W2079907724","https://openalex.org/W2546134129","https://openalex.org/W2169111093","https://openalex.org/W4382936136","https://openalex.org/W2104712676","https://openalex.org/W2118205332","https://openalex.org/W1973158011","https://openalex.org/W2885971921","https://openalex.org/W4387970357"],"abstract_inverted_index":{"A":[0],"stopping":[1,42],"rule":[2],"is":[3,12,28,57,71],"developed":[4],"for":[5,16,45],"simultaneous":[6],"perturbation":[7],"stochastic":[8],"approximation":[9],"(SPSA)":[10],"which":[11,56],"an":[13,18],"iterative":[14],"method":[15],"minimizing":[17],"unknown":[19],"objective":[20],"function":[21],"via":[22],"its":[23],"noise":[24],"corrupted":[25],"measurements.":[26],"It":[27],"shown":[29],"that,":[30],"when":[31],"the":[32,41,46,60,69,74,80],"number":[33,70],"of":[34],"iterations":[35],"reaches":[36],"a":[37,53,64],"constant":[38],"determined":[39,72],"by":[40,73],"rule,":[43],"SPSA":[44],"quadratic":[47],"convex":[48],"problem":[49,81],"provides":[50],"us":[51],"with":[52,63],"suboptimal":[54],"solution":[55,62],"close":[58],"to":[59],"optimal":[61],"specified":[65,75],"probabilistic":[66],"guarantee.":[67],"Furthermore,":[68],"guarantee":[76],"and":[77],"polynomial":[78],"in":[79],"size.":[82]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
