{"id":"https://openalex.org/W2112682893","doi":"https://doi.org/10.1109/cdc.2007.4434833","title":"Almost sure and L&lt;inf&gt;q&lt;/inf&gt;-convergence of the re-initialized BMP scheme","display_name":"Almost sure and L&lt;inf&gt;q&lt;/inf&gt;-convergence of the re-initialized BMP scheme","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2112682893","doi":"https://doi.org/10.1109/cdc.2007.4434833","mag":"2112682893"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434833","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434833","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/A5103169746","display_name":"L\u00e1szl\u00f3 Gerencs\u00e9r","orcid":"https://orcid.org/0000-0003-4239-7950"},"institutions":[{"id":"https://openalex.org/I4210117195","display_name":"HUN-REN Institute for Computer Science and Control","ror":"https://ror.org/0249v7n71","country_code":"HU","type":"facility","lineage":["https://openalex.org/I4210117195","https://openalex.org/I4387152226"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Laszlo Gerencser","raw_affiliation_strings":["Computer and Automation Research Institute of the Hungarian Academy of Sciences, MTA SZTAKI, Budapest, Hungary","Hungarian Acad. of Sci., Budapest"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer and Automation Research Institute of the Hungarian Academy of Sciences, MTA SZTAKI, Budapest, Hungary","institution_ids":["https://openalex.org/I4210117195","https://openalex.org/I7597260"]},{"raw_affiliation_string":"Hungarian Acad. of Sci., Budapest","institution_ids":["https://openalex.org/I7597260"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030971500","display_name":"Zal\u00e1n M\u00e1ty\u00e1s","orcid":null},"institutions":[{"id":"https://openalex.org/I110620307","display_name":"Budapest University of Economics and Business","ror":"https://ror.org/00r3jwh90","country_code":"HU","type":"education","lineage":["https://openalex.org/I110620307"]},{"id":"https://openalex.org/I162147314","display_name":"Hungarian National Bank","ror":"https://ror.org/02awmn551","country_code":"HU","type":"other","lineage":["https://openalex.org/I162147314"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Zalan Matyas","raw_affiliation_strings":["GE Money Bank, Budapest Bank, Budapest, Hungary","Budapest Bank, GE Money Bank, Vaci ut 188, H-1138, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GE Money Bank, Budapest Bank, Budapest, Hungary","institution_ids":["https://openalex.org/I162147314"]},{"raw_affiliation_string":"Budapest Bank, GE Money Bank, Vaci ut 188, H-1138, Hungary","institution_ids":["https://openalex.org/I110620307"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1452,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.92470277,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"969","last_page":"974"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9998000264167786,"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/T13187","display_name":"Diffusion and Search Dynamics","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9961000084877014,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6922816634178162},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.691802442073822},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.6571539044380188},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5472008585929871},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48263177275657654},{"id":"https://openalex.org/keywords/stochastic-approximation","display_name":"Stochastic approximation","score":0.4661620259284973},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45478829741477966},{"id":"https://openalex.org/keywords/truncation-error","display_name":"Truncation error","score":0.452159583568573},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4446486234664917},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4232706129550934},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4194839894771576},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39070308208465576},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3639724850654602},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3259885013103485},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12144079804420471}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6922816634178162},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.691802442073822},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.6571539044380188},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5472008585929871},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48263177275657654},{"id":"https://openalex.org/C55479107","wikidata":"https://www.wikidata.org/wiki/Q97663916","display_name":"Stochastic approximation","level":3,"score":0.4661620259284973},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45478829741477966},{"id":"https://openalex.org/C104942944","wikidata":"https://www.wikidata.org/wiki/Q3434686","display_name":"Truncation error","level":2,"score":0.452159583568573},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4446486234664917},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4232706129550934},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4194839894771576},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39070308208465576},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3639724850654602},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3259885013103485},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12144079804420471},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2007.4434833","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434833","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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":11,"referenced_works":["https://openalex.org/W1568229137","https://openalex.org/W1995713768","https://openalex.org/W2007854530","https://openalex.org/W2074693497","https://openalex.org/W2095948712","https://openalex.org/W2106983679","https://openalex.org/W2112971812","https://openalex.org/W2125812768","https://openalex.org/W2133555934","https://openalex.org/W2179430109","https://openalex.org/W2325390432"],"related_works":["https://openalex.org/W2040666836","https://openalex.org/W2580571359","https://openalex.org/W2238041693","https://openalex.org/W2112774109","https://openalex.org/W125347959","https://openalex.org/W1990789772","https://openalex.org/W138907054","https://openalex.org/W2536422707","https://openalex.org/W24145419","https://openalex.org/W2044869171"],"abstract_inverted_index":{"We":[0],"consider":[1],"stochastic":[2],"approximation":[3],"algorithms":[4],"with":[5,28,47,78],"Markovian":[6],"dynamics":[7],"introduced":[8],"by":[9,39],"Benveniste,":[10],"Metivier":[11],"and":[12],"Priouret":[13],"(BMP).":[14],"A":[15],"major":[16],"deficiency":[17,35],"of":[18,74,92,97,112,118],"the":[19,45,54,57,69,75,93,98,106,113],"BMP":[20,99],"theory":[21,100],"is":[22,59,64,83],"that":[23],"it":[24],"guarantees":[25],"convergence":[26],"only":[27],"probability":[29,79],"strictly":[30],"less":[31],"than":[32],"1.":[33,80],"This":[34],"will":[36,101,120],"be":[37,102,121],"overcome":[38],"incorporating":[40],"a":[41,48],"resetting":[42],"mechanism":[43],"for":[44,109],"parameter":[46],"fairly":[49],"arbitrary":[50],"truncation":[51],"domain.":[52],"At":[53],"same":[55],"time":[56],"state":[58],"also":[60,103],"reset.":[61],"The":[62,81],"algorithm":[63],"shown":[65],"to":[66,68,85],"converge":[67],"assumed":[70],"unique":[71],"stationary":[72],"point":[73],"associated":[76],"ODE":[77],"result":[82],"complementary":[84],"earlier":[86],"results":[87],"using":[88],"resetting.":[89],"An":[90],"outline":[91],"basic":[94,107],"technical":[95],"aspects":[96],"given.":[104],"Finally,":[105],"ideas":[108],"establishing":[110],"Lq-convergence":[111],"estimation":[114],"error,":[115],"including":[116],"rate":[117],"convergence,":[119],"presented.":[122]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
