{"id":"https://openalex.org/W4309591868","doi":"https://doi.org/10.48550/arxiv.2211.10420","title":"Mirror Sinkhorn: Fast Online Optimization on Transport Polytopes","display_name":"Mirror Sinkhorn: Fast Online Optimization on Transport Polytopes","publication_year":2022,"publication_date":"2022-11-18","ids":{"openalex":"https://openalex.org/W4309591868","doi":"https://doi.org/10.48550/arxiv.2211.10420"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2211.10420","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2211.10420","pdf_url":"https://arxiv.org/pdf/2211.10420","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":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2211.10420","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033696568","display_name":"Marin Ballu","orcid":"https://orcid.org/0000-0002-0638-2228"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ballu, Marin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5024896990","display_name":"Quentin Berthet","orcid":"https://orcid.org/0000-0001-7272-0013"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Berthet, Quentin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9980999827384949,"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/T12288","display_name":"Optimization and Search Problems","score":0.9980999827384949,"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":0.9973999857902527,"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/T10036","display_name":"Advanced Neural Network Applications","score":0.9937000274658203,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.8218210935592651},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.59954833984375},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5341569185256958},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.529233455657959},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.5195660591125488},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5118805170059204},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49701884388923645},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.491134375333786},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.46996280550956726},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35452449321746826},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2902793884277344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19471752643585205},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.173691064119339},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0890243649482727}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.8218210935592651},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.59954833984375},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5341569185256958},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.529233455657959},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.5195660591125488},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5118805170059204},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49701884388923645},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.491134375333786},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.46996280550956726},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35452449321746826},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2902793884277344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19471752643585205},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.173691064119339},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0890243649482727},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"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":2,"locations":[{"id":"pmh:oai:arXiv.org:2211.10420","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2211.10420","pdf_url":"https://arxiv.org/pdf/2211.10420","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":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2211.10420","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2211.10420","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2211.10420","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2211.10420","pdf_url":"https://arxiv.org/pdf/2211.10420","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4280529077","https://openalex.org/W2486267010","https://openalex.org/W2507185596","https://openalex.org/W1493684871","https://openalex.org/W2886567582","https://openalex.org/W4289703404","https://openalex.org/W4387265813","https://openalex.org/W4287022798","https://openalex.org/W2901329027","https://openalex.org/W3153752017"],"abstract_inverted_index":{"Optimal":[0],"transport":[1,22],"is":[2,51],"an":[3,60],"important":[4],"tool":[5],"in":[6,59],"machine":[7],"learning,":[8],"allowing":[9],"to":[10,53],"capture":[11],"geometric":[12],"properties":[13],"of":[14,41],"the":[15,39],"data":[16],"through":[17],"a":[18,26],"linear":[19],"program":[20],"on":[21,35,76],"polytopes.":[23],"We":[24,63],"present":[25],"single-loop":[27],"optimization":[28],"algorithm":[29,50],"for":[30,67],"minimizing":[31],"general":[32],"convex":[33,68],"objectives":[34,69],"these":[36],"domains,":[37],"utilizing":[38],"principles":[40],"Sinkhorn":[42],"matrix":[43],"scaling":[44],"and":[45,55,70,79],"mirror":[46],"descent.":[47],"The":[48],"proposed":[49],"robust":[52],"noise,":[54],"can":[56],"be":[57],"used":[58],"online":[61],"setting.":[62],"provide":[64],"theoretical":[65],"guarantees":[66],"experimental":[71],"results":[72],"showcasing":[73],"it":[74],"effectiveness":[75],"both":[77],"synthetic":[78],"real-world":[80],"data.":[81]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2025-10-10T00:00:00"}