{"id":"https://openalex.org/W7123357982","doi":"https://doi.org/10.1109/cdc57313.2025.11312926","title":"Computing Optimal Transport Plans via Min-Max Gradient Flows","display_name":"Computing Optimal Transport Plans via Min-Max Gradient Flows","publication_year":2025,"publication_date":"2025-12-09","ids":{"openalex":"https://openalex.org/W7123357982","doi":"https://doi.org/10.1109/cdc57313.2025.11312926"},"language":null,"primary_location":{"id":"doi:10.1109/cdc57313.2025.11312926","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312926","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE 64th 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/A5072385558","display_name":"Lauren Conger","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lauren Conger","raw_affiliation_strings":["California Institute of Technology,Computing and Mathematical Sciences,Pasadena,United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California Institute of Technology,Computing and Mathematical Sciences,Pasadena,United States","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051573535","display_name":"Franca Hoffmann","orcid":"https://orcid.org/0000-0002-1182-5521"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Franca Hoffmann","raw_affiliation_strings":["California Institute of Technology,Computing and Mathematical Sciences,Pasadena,United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California Institute of Technology,Computing and Mathematical Sciences,Pasadena,United States","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5122904116","display_name":"Ricardo Baptista","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ricardo Baptista","raw_affiliation_strings":["California Institute of Technology,Computing and Mathematical Sciences,Pasadena,United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California Institute of Technology,Computing and Mathematical Sciences,Pasadena,United States","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5093925471","display_name":"Eric Mazumdar","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eric Mazumdar","raw_affiliation_strings":["California Institute of Technology,Computing and Mathematical Sciences,Pasadena,United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California Institute of Technology,Computing and Mathematical Sciences,Pasadena,United States","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.63370605,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2210","last_page":"2217"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.36820000410079956,"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":0.36820000410079956,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.14090000092983246,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.1289999932050705,"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/convergence","display_name":"Convergence (economics)","score":0.6880000233650208},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.6694999933242798},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.6694999933242798},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.5745000243186951},{"id":"https://openalex.org/keywords/balanced-flow","display_name":"Balanced flow","score":0.5365999937057495},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.4242999851703644},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.39739999175071716}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6880000233650208},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6694999933242798},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.6694999933242798},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6273999810218811},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.5745000243186951},{"id":"https://openalex.org/C167879884","wikidata":"https://www.wikidata.org/wiki/Q727568","display_name":"Balanced flow","level":2,"score":0.5365999937057495},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4465000033378601},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.427700012922287},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.4242999851703644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4228000044822693},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.39739999175071716},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.3849000036716461},{"id":"https://openalex.org/C116149140","wikidata":"https://www.wikidata.org/wiki/Q2070951","display_name":"Descent direction","level":4,"score":0.311599999666214},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.2842000126838684},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.2782000005245209},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.2687000036239624},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.26579999923706055}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc57313.2025.11312926","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312926","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE 64th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309398","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,31],"pose":[1],"the":[2,35,41,47,56,63,73,79,84,89,97],"Kantorovich":[3],"optimal":[4,29,42],"transport":[5,43],"problem":[6,10],"as":[7],"a":[8,12,21,25,52,69],"min-max":[9],"with":[11,51,93],"Nash":[13],"equilibrium":[14],"that":[15],"can":[16],"be":[17],"obtained":[18],"dynamically":[19],"via":[20],"two-player":[22],"game,":[23],"providing":[24],"framework":[26],"for":[27,99],"approximating":[28],"couplings.":[30],"prove":[32],"convergence":[33],"of":[34,72,82],"timescale-separated":[36],"gradient":[37,48],"descent":[38,49],"dynamics":[39],"to":[40],"plan,":[44],"and":[45],"implement":[46],"algorithm":[50],"particle":[53],"method,":[54],"where":[55],"marginal":[57],"constraints":[58],"are":[59],"enforced":[60],"weakly":[61],"using":[62,83],"Kullback-Leibler":[64],"(KL)":[65],"divergence,":[66],"automatically":[67],"selecting":[68],"dynamical":[70],"adaptation":[71],"regularizer.":[74],"The":[75],"numerical":[76],"results":[77],"highlight":[78],"different":[80],"advantages":[81],"standard":[85],"KL":[86,91],"divergence":[87,92],"versus":[88],"reverse":[90],"this":[94],"approach,":[95],"opening":[96],"door":[98],"new":[100],"methodologies.":[101]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-01-14T00:00:00"}