{"id":"https://openalex.org/W4404166821","doi":"https://doi.org/10.1109/cdc56724.2024.10886079","title":"A vector almost-supermartingale convergence theorem and its applications","display_name":"A vector almost-supermartingale convergence theorem and its applications","publication_year":2024,"publication_date":"2024-12-16","ids":{"openalex":"https://openalex.org/W4404166821","doi":"https://doi.org/10.1109/cdc56724.2024.10886079"},"language":"en","primary_location":{"id":"doi:10.1109/cdc56724.2024.10886079","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886079","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04770089v1/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005770424","display_name":"Aditya Mahajan","orcid":"https://orcid.org/0000-0001-8125-1191"},"institutions":[{"id":"https://openalex.org/I4210164802","display_name":"Mila - Quebec Artificial Intelligence Institute","ror":"https://ror.org/05c22rx21","country_code":"CA","type":"facility","lineage":["https://openalex.org/I4210164802"]},{"id":"https://openalex.org/I108192572","display_name":"HEC Montr\u00e9al","ror":"https://ror.org/05ww3wq27","country_code":"CA","type":"education","lineage":["https://openalex.org/I108192572"]},{"id":"https://openalex.org/I4403928267","display_name":"International Laboratory on Learning Systems","ror":"https://ror.org/02bkw1m29","country_code":null,"type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210164802","https://openalex.org/I4403928267","https://openalex.org/I49663120","https://openalex.org/I5023651","https://openalex.org/I9736820"]},{"id":"https://openalex.org/I4210133247","display_name":"Group for Research in Decision Analysis","ror":"https://ror.org/02pkvpx84","country_code":"CA","type":"facility","lineage":["https://openalex.org/I108192572","https://openalex.org/I159129438","https://openalex.org/I4210133247","https://openalex.org/I45683168","https://openalex.org/I49663120","https://openalex.org/I5023651"]},{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Aditya Mahajan","raw_affiliation_strings":["McGill University,department of Electrical and Computer Engineering at,Montreal,QC,Canada,H3A 0E9","CIM - Centre for Intelligent Machines (Centre for Intelligent Machines, McGill University, 817 Sherbrooke Street West, Montreal, Canada H3A 2K6 - Canada)","Mila - Institut qu\u00e9b\u00e9cois d\u2019intelligence artificielle =  Quebec Artificial Intelligence Institute (6666, Saint-Urbain, #200 Montr\u00e9al, Qu\u00e9bec H2S 3H1 - Canada)","McGill University = Universit\u00e9 McGill [Montr\u00e9al, Canada] (845, rue Sherbrooke O. Montr\u00e9al (Qu\u00e9bec) Canada H3A 0G4 - Canada)","ILLS - International Laboratory on Learning Systems (Montr\u00e9al - Canada)","GERAD - Groupe d\u2019\u00e9tudes et de recherche en analyse des d\u00e9cisions (HEC Montr\u00e9al 3000, chemin de la C\u00f4te-Sainte-Catherine Montr\u00e9al (Qu\u00e9bec) Canada H3T 2A7 - Canada)"],"affiliations":[{"raw_affiliation_string":"McGill University,department of Electrical and Computer Engineering at,Montreal,QC,Canada,H3A 0E9","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"CIM - Centre for Intelligent Machines (Centre for Intelligent Machines, McGill University, 817 Sherbrooke Street West, Montreal, Canada H3A 2K6 - Canada)","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Mila - Institut qu\u00e9b\u00e9cois d\u2019intelligence artificielle =  Quebec Artificial Intelligence Institute (6666, Saint-Urbain, #200 Montr\u00e9al, Qu\u00e9bec H2S 3H1 - Canada)","institution_ids":["https://openalex.org/I4210164802"]},{"raw_affiliation_string":"McGill University = Universit\u00e9 McGill [Montr\u00e9al, Canada] (845, rue Sherbrooke O. Montr\u00e9al (Qu\u00e9bec) Canada H3A 0G4 - Canada)","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"ILLS - International Laboratory on Learning Systems (Montr\u00e9al - Canada)","institution_ids":["https://openalex.org/I4403928267"]},{"raw_affiliation_string":"GERAD - Groupe d\u2019\u00e9tudes et de recherche en analyse des d\u00e9cisions (HEC Montr\u00e9al 3000, chemin de la C\u00f4te-Sainte-Catherine Montr\u00e9al (Qu\u00e9bec) Canada H3T 2A7 - Canada)","institution_ids":["https://openalex.org/I108192572","https://openalex.org/I4210133247"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058754609","display_name":"Silviu\u2010Iulian Niculescu","orcid":"https://orcid.org/0000-0002-3444-2566"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Silviu-Iulian Niculescu","raw_affiliation_strings":["University of Paris-Saclay,CNRS, CentraleSupelec, Inria Saclay, Laboratory of Signals and Systems (L2S),Gif-sur-Yvette,France,91190","DISCO - Dynamical Interconnected Systems in COmplex Environments (CentraleSupelec 3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex - France)","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"University of Paris-Saclay,CNRS, CentraleSupelec, Inria Saclay, Laboratory of Signals and Systems (L2S),Gif-sur-Yvette,France,91190","institution_ids":["https://openalex.org/I4210107720","https://openalex.org/I277688954","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"DISCO - Dynamical Interconnected Systems in COmplex Environments (CentraleSupelec 3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex - France)","institution_ids":["https://openalex.org/I4210107720"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089027398","display_name":"M. Vidyasagar","orcid":"https://orcid.org/0000-0003-1057-1942"},"institutions":[{"id":"https://openalex.org/I65181880","display_name":"Indian Institute of Technology Hyderabad","ror":"https://ror.org/01j4v3x97","country_code":"IN","type":"education","lineage":["https://openalex.org/I65181880"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mathukumalli Vidyasagar","raw_affiliation_strings":["Institute of Technology Hyderabad Kandi,department of Artificial Intelligence at the Indian,Telangana,India,502285","IIT Hyderabad - Indian Institute of Technology [Hyderabad] (Indian Institute of Technology Hyderabad\r\nKandi, Sangareddy - 502285\r\nTelangana - India)"],"affiliations":[{"raw_affiliation_string":"Institute of Technology Hyderabad Kandi,department of Artificial Intelligence at the Indian,Telangana,India,502285","institution_ids":["https://openalex.org/I65181880"]},{"raw_affiliation_string":"IIT Hyderabad - Indian Institute of Technology [Hyderabad] (Indian Institute of Technology Hyderabad\r\nKandi, Sangareddy - 502285\r\nTelangana - India)","institution_ids":["https://openalex.org/I65181880"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5005770424"],"corresponding_institution_ids":["https://openalex.org/I108192572","https://openalex.org/I4210133247","https://openalex.org/I4210164802","https://openalex.org/I4403928267","https://openalex.org/I5023651"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20808221,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3877","last_page":"3882"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9947999715805054,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9947999715805054,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9926999807357788,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.9473999738693237,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6431852579116821},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4702799618244171},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4372907280921936},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3862770199775696}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6431852579116821},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4702799618244171},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4372907280921936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3862770199775696},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc56724.2024.10886079","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886079","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04770089v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04770089","pdf_url":"https://hal.science/hal-04770089v1/document","source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"63rd IEEE Conference on Decision and Control (CDC 2024), IEEE, Dec 2024, Milan, Italy. &#x27E8;10.1109/cdc56724.2024.10886079&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04770089v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04770089","pdf_url":"https://hal.science/hal-04770089v1/document","source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"63rd IEEE Conference on Decision and Control (CDC 2024), IEEE, Dec 2024, Milan, Italy. &#x27E8;10.1109/cdc56724.2024.10886079&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404166821.pdf","grobid_xml":"https://content.openalex.org/works/W4404166821.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W32403112","https://openalex.org/W1494516049","https://openalex.org/W1505725179","https://openalex.org/W1568229137","https://openalex.org/W1978689560","https://openalex.org/W1994596823","https://openalex.org/W2021014025","https://openalex.org/W2045334340","https://openalex.org/W2047663898","https://openalex.org/W2071983464","https://openalex.org/W2091094663","https://openalex.org/W2125812768","https://openalex.org/W2137435346","https://openalex.org/W2807424650","https://openalex.org/W3210638057","https://openalex.org/W4237738119","https://openalex.org/W4243772471","https://openalex.org/W4246840991","https://openalex.org/W4285053132","https://openalex.org/W4302033506","https://openalex.org/W4317749671","https://openalex.org/W6621575794","https://openalex.org/W6634429821","https://openalex.org/W6779228417","https://openalex.org/W6790244998","https://openalex.org/W6792454653","https://openalex.org/W6803418194"],"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/W2072657027"],"abstract_inverted_index":{"The":[0,30],"almost-supermartingale":[1,73],"convergence":[2,16,74,77],"theorem":[3,31,46],"of":[4,17,57,71,78],"Robbins":[5],"and":[6,27,53,83],"Siegmund":[7],"(1971)":[8],"is":[9,32],"a":[10],"fundamental":[11],"tool":[12],"for":[13,34,60],"establishing":[14],"the":[15,45],"various":[18],"stochastic":[19,38,51,84],"iterative":[20],"algorithms":[21],"including":[22,76],"system":[23],"identification,":[24],"adaptive":[25],"control,":[26],"reinforcement":[28],"learning.":[29],"stated":[33],"non-negative":[35,48],"scalar":[36],"valued":[37,50],"processes.":[39],"In":[40],"this":[41],"paper,":[42],"we":[43],"generalize":[44],"to":[47,63],"vector":[49,72],"processes":[52,62],"provide":[54],"two":[55],"set":[56],"sufficient":[58],"conditions":[59],"such":[61],"converge":[64],"almost":[65],"surely.":[66],"We":[67],"present":[68],"several":[69],"applications":[70],"theorem,":[75],"autoregressive":[79],"supermartingales,":[80,82],"delayed":[81,87],"approximation":[85],"with":[86],"updates.":[88]},"counts_by_year":[],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
