{"id":"https://openalex.org/W4391020246","doi":"https://doi.org/10.1109/cdc49753.2023.10383833","title":"A Large-Scale Stochastic Gradient Descent Algorithm Over a Graphon","display_name":"A Large-Scale Stochastic Gradient Descent Algorithm Over a Graphon","publication_year":2023,"publication_date":"2023-12-13","ids":{"openalex":"https://openalex.org/W4391020246","doi":"https://doi.org/10.1109/cdc49753.2023.10383833"},"language":"en","primary_location":{"id":"doi:10.1109/cdc49753.2023.10383833","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/cdc49753.2023.10383833","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","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/A5100378075","display_name":"Yan Chen","orcid":"https://orcid.org/0000-0002-3227-4562"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yan Chen","raw_affiliation_strings":["School of Mathematical Sciences, East China Normal University,Shanghai,China,200241"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, East China Normal University,Shanghai,China,200241","institution_ids":["https://openalex.org/I66867065"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058434154","display_name":"Tao Li","orcid":"https://orcid.org/0000-0001-6173-7987"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Li","raw_affiliation_strings":["School of Mathematical Sciences, East China Normal University,Key Laboratory of Pure Mathematical Practice,Shanghai,China,200241"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, East China Normal University,Key Laboratory of Pure Mathematical Practice,Shanghai,China,200241","institution_ids":["https://openalex.org/I66867065"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100378075"],"corresponding_institution_ids":["https://openalex.org/I66867065"],"apc_list":null,"apc_paid":null,"fwci":0.2006,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54512603,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"19","issue":null,"first_page":"4806","last_page":"4811"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.998199999332428,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.8368760347366333},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.6007809042930603},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.5992815494537354},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5227066278457642},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5169462561607361},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5027482509613037},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48514971137046814},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4825279414653778},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4390813708305359},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39608117938041687},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33560025691986084},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.08836618065834045},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08277714252471924},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07580846548080444},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.061790674924850464}],"concepts":[{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.8368760347366333},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.6007809042930603},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.5992815494537354},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5227066278457642},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5169462561607361},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5027482509613037},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48514971137046814},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4825279414653778},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4390813708305359},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39608117938041687},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33560025691986084},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.08836618065834045},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08277714252471924},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07580846548080444},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.061790674924850464},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc49753.2023.10383833","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/cdc49753.2023.10383833","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 62nd IEEE Conference on Decision and Control (CDC)","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":29,"referenced_works":["https://openalex.org/W182704713","https://openalex.org/W273178449","https://openalex.org/W1503185336","https://openalex.org/W1616857247","https://openalex.org/W1821455959","https://openalex.org/W2011435133","https://openalex.org/W2023042366","https://openalex.org/W2028316825","https://openalex.org/W2044212084","https://openalex.org/W2061560193","https://openalex.org/W2097380742","https://openalex.org/W2133251255","https://openalex.org/W2229589479","https://openalex.org/W2303732875","https://openalex.org/W2964128536","https://openalex.org/W3034945862","https://openalex.org/W3073656995","https://openalex.org/W3081391118","https://openalex.org/W3097285243","https://openalex.org/W3103436474","https://openalex.org/W3158992711","https://openalex.org/W4225837748","https://openalex.org/W4238187298","https://openalex.org/W4287828901","https://openalex.org/W4298691646","https://openalex.org/W4309629663","https://openalex.org/W4388305602","https://openalex.org/W6728757088","https://openalex.org/W6781340008"],"related_works":["https://openalex.org/W4206903459","https://openalex.org/W2754816816","https://openalex.org/W4366280654","https://openalex.org/W3160167280","https://openalex.org/W4231621013","https://openalex.org/W4362706668","https://openalex.org/W3008318776","https://openalex.org/W2041416246","https://openalex.org/W3020853991","https://openalex.org/W3035836947"],"abstract_inverted_index":{"We":[0,64],"study":[1],"the":[2,20,23,28,53,56,61,95,103,117,131,134],"large-scale":[3],"stochastic":[4,67],"gradient":[5,68],"descent":[6,69],"algorithm":[7,70,104],"over":[8],"a":[9,12,38,66,73,85],"graphon":[10,74,96],"with":[11,82],"continuum":[13],"of":[14,22,30,55,133],"nodes,":[15],"which":[16,47],"is":[17,52,91,97],"regarded":[18],"as":[19,27,72],"limit":[21],"distributed":[24],"networked":[25],"optimization":[26],"number":[29],"nodes":[31,49],"goes":[32],"to":[33,130],"infinity.":[34],"Each":[35],"node":[36,62,79],"has":[37],"private":[39],"local":[40,57,118],"cost":[41,45,58,119,136],"function.":[42],"The":[43],"global":[44,135],"function,":[46],"all":[48,106,125],"cooperatively":[50],"minimize,":[51],"integral":[54],"functions":[59,120],"on":[60],"set.":[63],"propose":[65],"evolving":[71],"particle":[75],"system,":[76],"where":[77],"each":[78],"heterogeneously":[80],"interacts":[81],"others":[83],"through":[84],"coupled":[86],"mean":[87,113,139],"field":[88],"term.":[89],"It":[90],"proved":[92],"that":[93],"if":[94,116],"connected,":[98],"then":[99,124],"by":[100],"properly":[101],"choosing":[102],"gains,":[105],"nodes'":[107,126],"states":[108,127],"achieve":[109],"consensus":[110],"uniformly":[111,129],"in":[112,138],"square.":[114,140],"Furthermore,":[115],"are":[121],"strongly":[122],"convex,":[123],"converge":[128],"minimizer":[132],"function":[137]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-25T23:11:45.687758","created_date":"2025-10-10T00:00:00"}
