{"id":"https://openalex.org/W3014056237","doi":"https://doi.org/10.1109/cdc42340.2020.9304183","title":"A game\u2013theoretic approach for Generative Adversarial Networks","display_name":"A game\u2013theoretic approach for Generative Adversarial Networks","publication_year":2020,"publication_date":"2020-12-14","ids":{"openalex":"https://openalex.org/W3014056237","doi":"https://doi.org/10.1109/cdc42340.2020.9304183","mag":"3014056237"},"language":"en","primary_location":{"id":"doi:10.1109/cdc42340.2020.9304183","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304183","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2003.13637","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060370400","display_name":"Barbara Franci","orcid":"https://orcid.org/0000-0002-8298-0684"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Barbara Franci","raw_affiliation_strings":["Delft Center for System and Control, TU Delft, The Netherlands","[TU Delft,Delft Center for System and Control,The Netherlands]"],"affiliations":[{"raw_affiliation_string":"Delft Center for System and Control, TU Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"[TU Delft,Delft Center for System and Control,The Netherlands]","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006692330","display_name":"Sergio Grammatico","orcid":"https://orcid.org/0000-0002-6021-2350"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Sergio Grammatico","raw_affiliation_strings":["Delft Center for System and Control, TU Delft, The Netherlands","(Delft University of Technology)"],"affiliations":[{"raw_affiliation_string":"Delft Center for System and Control, TU Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"(Delft University of Technology)","institution_ids":["https://openalex.org/I98358874"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060370400"],"corresponding_institution_ids":["https://openalex.org/I98358874"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02609546,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1646","last_page":"1651"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/discriminator","display_name":"Discriminator","score":0.7120139598846436},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6700463891029358},{"id":"https://openalex.org/keywords/generative-grammar","display_name":"Generative grammar","score":0.6266823410987854},{"id":"https://openalex.org/keywords/adversarial-system","display_name":"Adversarial system","score":0.6174209713935852},{"id":"https://openalex.org/keywords/bottleneck","display_name":"Bottleneck","score":0.6124826073646545},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5734528303146362},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5503005981445312},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5210784673690796},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4838246703147888},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4794929623603821},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.45661208033561707},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44796258211135864},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40714603662490845},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.39184334874153137},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.391587495803833},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24688711762428284}],"concepts":[{"id":"https://openalex.org/C2779803651","wikidata":"https://www.wikidata.org/wiki/Q5282088","display_name":"Discriminator","level":3,"score":0.7120139598846436},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6700463891029358},{"id":"https://openalex.org/C39890363","wikidata":"https://www.wikidata.org/wiki/Q36108","display_name":"Generative grammar","level":2,"score":0.6266823410987854},{"id":"https://openalex.org/C37736160","wikidata":"https://www.wikidata.org/wiki/Q1801315","display_name":"Adversarial system","level":2,"score":0.6174209713935852},{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.6124826073646545},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5734528303146362},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5503005981445312},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5210784673690796},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4838246703147888},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4794929623603821},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.45661208033561707},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44796258211135864},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40714603662490845},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.39184334874153137},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.391587495803833},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24688711762428284},{"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"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/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/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc42340.2020.9304183","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304183","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2003.13637","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.13637","pdf_url":"https://arxiv.org/pdf/2003.13637","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3014056237","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2003.13637","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2003.13637","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2003.13637","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2003.13637","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2003.13637","pdf_url":"https://arxiv.org/pdf/2003.13637","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.7699999809265137,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G1608658613","display_name":null,"funder_award_id":"647.003.003","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G171551277","display_name":null,"funder_award_id":"802348","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G4943931302","display_name":null,"funder_award_id":"P2P-TALES","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G5457097406","display_name":null,"funder_award_id":"613.001.702","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3014056237.pdf","grobid_xml":"https://content.openalex.org/works/W3014056237.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W205960364","https://openalex.org/W1543439990","https://openalex.org/W1577337550","https://openalex.org/W1994616650","https://openalex.org/W2052769657","https://openalex.org/W2061627126","https://openalex.org/W2099471712","https://openalex.org/W2273889207","https://openalex.org/W2497446532","https://openalex.org/W2577946330","https://openalex.org/W2593248927","https://openalex.org/W2743780012","https://openalex.org/W2755577605","https://openalex.org/W2771120189","https://openalex.org/W2788053000","https://openalex.org/W2963017889","https://openalex.org/W2964121744","https://openalex.org/W2965900084","https://openalex.org/W3006882295","https://openalex.org/W3007954193","https://openalex.org/W3105688066","https://openalex.org/W3115439033","https://openalex.org/W4229650096","https://openalex.org/W6631190155","https://openalex.org/W6732248266","https://openalex.org/W6746914671","https://openalex.org/W6748541206","https://openalex.org/W6750074314","https://openalex.org/W6771316371","https://openalex.org/W6774381916"],"related_works":["https://openalex.org/W3204781893","https://openalex.org/W2136503687","https://openalex.org/W2803393275","https://openalex.org/W2296164856","https://openalex.org/W2982487632","https://openalex.org/W3162584722","https://openalex.org/W2073107347","https://openalex.org/W3094768100","https://openalex.org/W2736303550","https://openalex.org/W2735002392","https://openalex.org/W2994383920","https://openalex.org/W143436892","https://openalex.org/W2754670230","https://openalex.org/W2945129946","https://openalex.org/W2942369252","https://openalex.org/W3200943860","https://openalex.org/W2959399500","https://openalex.org/W2951301202","https://openalex.org/W2340390306","https://openalex.org/W112078600"],"abstract_inverted_index":{"Generative":[0],"adversarial":[1,62],"networks":[2,43],"(GANs)":[3],"are":[4,23,44],"a":[5,71,80,95,123],"class":[6],"of":[7,18,109,125],"generative":[8],"models,":[9],"known":[10],"for":[11,36,60,100],"producing":[12],"accurate":[13],"samples.":[14],"The":[15,33],"key":[16],"feature":[17],"GANs":[19],"is":[20,39,55,112],"that":[21,40,104],"there":[22],"two":[24],"antagonistic":[25],"neural":[26,42],"networks:":[27],"the":[28,31,41,61,65,106,110],"generator":[29],"and":[30,83],"discriminator.":[32],"main":[34],"bottleneck":[35],"their":[37,53],"implementation":[38],"very":[45],"hard":[46],"to":[47,51,56,87,117],"train.":[48],"One":[49],"way":[50],"improve":[52],"performance":[54],"design":[57],"reliable":[58],"algorithms":[59],"process.":[63],"Since":[64],"training":[66],"can":[67],"be":[68],"cast":[69],"as":[70,79],"stochastic":[72,96],"Nash":[73],"equilibrium":[74],"problem,":[75],"we":[76,93,114],"rewrite":[77],"it":[78],"variational":[81],"inequality":[82],"introduce":[84],"an":[85,89,118],"algorithm":[86,99],"compute":[88],"approximate":[90],"solution.":[91],"Specifically,":[92],"propose":[94],"relaxed":[97],"forward-backward":[98],"GANs.":[101],"We":[102],"prove":[103],"when":[105],"pseudogradient":[107],"mapping":[108],"game":[111],"monotone,":[113],"have":[115],"convergence":[116],"exact":[119],"solution":[120],"or":[121],"in":[122],"neighbourhood":[124],"it.":[126]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
