{"id":"https://openalex.org/W4385764299","doi":"https://doi.org/10.24963/ijcai.2023/423","title":"Dynamic Flows on Curved Space Generated by Labeled Data","display_name":"Dynamic Flows on Curved Space Generated by Labeled Data","publication_year":2023,"publication_date":"2023-08-01","ids":{"openalex":"https://openalex.org/W4385764299","doi":"https://doi.org/10.24963/ijcai.2023/423"},"language":"en","primary_location":{"id":"doi:10.24963/ijcai.2023/423","is_oa":true,"landing_page_url":"http://dx.doi.org/10.24963/ijcai.2023/423","pdf_url":"https://www.ijcai.org/proceedings/2023/0423.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.ijcai.org/proceedings/2023/0423.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076731499","display_name":"Xinru Hua","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xinru Hua","raw_affiliation_strings":["Stanford University","Stanford University, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford University, United States","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100768120","display_name":"Truyen Nguyen","orcid":"https://orcid.org/0000-0001-5104-6728"},"institutions":[{"id":"https://openalex.org/I110152177","display_name":"University of Akron","ror":"https://ror.org/02kyckx55","country_code":"US","type":"education","lineage":["https://openalex.org/I110152177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Truyen Nguyen","raw_affiliation_strings":["The University of Akron","The University of Akron, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Akron","institution_ids":["https://openalex.org/I110152177"]},{"raw_affiliation_string":"The University of Akron, United States","institution_ids":["https://openalex.org/I110152177"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090184417","display_name":"Tam Le","orcid":"https://orcid.org/0000-0003-1490-8506"},"institutions":[{"id":"https://openalex.org/I4210134673","display_name":"The Institute of Statistical Mathematics","ror":"https://ror.org/03jcejr58","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I4210134673","https://openalex.org/I4210158934"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tam Le","raw_affiliation_strings":["The Institute of Statistical Mathematics / RIKEN AIP","The Institute of Statistical Mathematics / RIKEN AIP, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Statistical Mathematics / RIKEN AIP","institution_ids":["https://openalex.org/I4210134673"]},{"raw_affiliation_string":"The Institute of Statistical Mathematics / RIKEN AIP, Japan","institution_ids":["https://openalex.org/I4210134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011147039","display_name":"Jos\u00e9 Blanchet","orcid":"https://orcid.org/0000-0001-5895-0912"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jose Blanchet","raw_affiliation_strings":["Stanford University","Stanford University, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Stanford University, United States","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112905431","display_name":"Viet Anh Nguyen","orcid":null},"institutions":[{"id":"https://openalex.org/I177725633","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48","country_code":"HK","type":"education","lineage":["https://openalex.org/I177725633"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Viet Anh Nguyen","raw_affiliation_strings":["Chinese University of Hong Kong","Chinese University of Hong Kong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chinese University of Hong Kong","institution_ids":["https://openalex.org/I177725633"]},{"raw_affiliation_string":"Chinese University of Hong Kong, China","institution_ids":["https://openalex.org/I177725633"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5076731499"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09733132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3803","last_page":"3811"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9933000206947327,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9933000206947327,"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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.9922999739646912,"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/T12814","display_name":"Gaussian Processes and Bayesian Inference","score":0.9804999828338623,"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/balanced-flow","display_name":"Balanced flow","score":0.7749539613723755},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.679893970489502},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.6261591911315918},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5718158483505249},{"id":"https://openalex.org/keywords/lift","display_name":"Lift (data mining)","score":0.5600547790527344},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5480199456214905},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.539691686630249},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5275166630744934},{"id":"https://openalex.org/keywords/feature-vector","display_name":"Feature vector","score":0.4962511658668518},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45162126421928406},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.4432932734489441},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43975579738616943},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.4332888722419739},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39150431752204895},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3501802682876587},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3292451500892639},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.2240922749042511},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1867472529411316},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1596074104309082},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08351990580558777}],"concepts":[{"id":"https://openalex.org/C167879884","wikidata":"https://www.wikidata.org/wiki/Q727568","display_name":"Balanced flow","level":2,"score":0.7749539613723755},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.679893970489502},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.6261591911315918},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5718158483505249},{"id":"https://openalex.org/C139002025","wikidata":"https://www.wikidata.org/wiki/Q3001212","display_name":"Lift (data mining)","level":2,"score":0.5600547790527344},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5480199456214905},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.539691686630249},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5275166630744934},{"id":"https://openalex.org/C83665646","wikidata":"https://www.wikidata.org/wiki/Q42139305","display_name":"Feature vector","level":2,"score":0.4962511658668518},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45162126421928406},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.4432932734489441},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43975579738616943},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.4332888722419739},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39150431752204895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3501802682876587},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3292451500892639},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.2240922749042511},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1867472529411316},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1596074104309082},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08351990580558777},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.24963/ijcai.2023/423","is_oa":true,"landing_page_url":"http://dx.doi.org/10.24963/ijcai.2023/423","pdf_url":"https://www.ijcai.org/proceedings/2023/0423.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.24963/ijcai.2023/423","is_oa":true,"landing_page_url":"http://dx.doi.org/10.24963/ijcai.2023/423","pdf_url":"https://www.ijcai.org/proceedings/2023/0423.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1189513000","display_name":null,"funder_award_id":"1915967","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1373650087","display_name":null,"funder_award_id":"FA9550-20-1-0397","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G1468320059","display_name":null,"funder_award_id":"2118199","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G36446433","display_name":null,"funder_award_id":"FA9550-20-1","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G4698417616","display_name":"On Scalability of Optimal Transport for Large-Scale Applications","funder_award_id":"20K19873","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G5729145195","display_name":null,"funder_award_id":"FA9550-20","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7136051044","display_name":null,"funder_award_id":"318995","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G842013246","display_name":"Local Structure-based Optimal Transport for Large-Scale Applications","funder_award_id":"23K11243","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320322942","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4385764299.pdf"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W385466589","https://openalex.org/W1522579744","https://openalex.org/W1901429906","https://openalex.org/W2054723044","https://openalex.org/W2071048859","https://openalex.org/W2106751088","https://openalex.org/W2117539524","https://openalex.org/W2298457129","https://openalex.org/W2335728318","https://openalex.org/W2342070830","https://openalex.org/W2511837229","https://openalex.org/W2519388618","https://openalex.org/W2610139381","https://openalex.org/W2617032573","https://openalex.org/W2619903301","https://openalex.org/W2750384547","https://openalex.org/W2752146117","https://openalex.org/W2765407302","https://openalex.org/W2771202495","https://openalex.org/W2794887779","https://openalex.org/W2808624238","https://openalex.org/W2808877219","https://openalex.org/W2890139949","https://openalex.org/W2890874825","https://openalex.org/W2901940252","https://openalex.org/W2902986194","https://openalex.org/W2913926073","https://openalex.org/W2944378183","https://openalex.org/W2949247522","https://openalex.org/W2952110137","https://openalex.org/W2954996726","https://openalex.org/W2962997028","https://openalex.org/W2963026013","https://openalex.org/W2963187488","https://openalex.org/W2963444553","https://openalex.org/W2963506208","https://openalex.org/W2963703360","https://openalex.org/W2964068697","https://openalex.org/W2981634459","https://openalex.org/W3005343217","https://openalex.org/W3013117577","https://openalex.org/W3097416420","https://openalex.org/W3166142806","https://openalex.org/W4287605740","https://openalex.org/W4293203252","https://openalex.org/W4380558558","https://openalex.org/W6752009368","https://openalex.org/W6769213830","https://openalex.org/W6791858558","https://openalex.org/W6828755598","https://openalex.org/W6864014924"],"related_works":["https://openalex.org/W2006251942","https://openalex.org/W2364741597","https://openalex.org/W1492103595","https://openalex.org/W1864774435","https://openalex.org/W946352265","https://openalex.org/W3020787026","https://openalex.org/W2334479858","https://openalex.org/W2793786119","https://openalex.org/W1507702947","https://openalex.org/W2022062253"],"abstract_inverted_index":{"The":[0],"scarcity":[1],"of":[2,37,48,74,86,95,122,132,150],"labeled":[3],"data":[4],"is":[5],"a":[6,58,111],"long-standing":[7],"challenge":[8],"for":[9],"many":[10],"machine":[11],"learning":[12,155],"tasks.":[13],"We":[14,41,128],"propose":[15,110],"our":[16,133,144],"gradient":[17,59,72,94,135],"flow":[18,60,73,124,136],"method":[19,61,137,145],"to":[20,27,34,45,125],"leverage":[21],"the":[22,35,46,52,64,71,77,83,87,92,96,101,119,123,126,130,148],"existing":[23],"dataset":[24,36],"(i.e.,":[25,39],"source)":[26],"generate":[28],"new":[29],"samples":[30],"that":[31,62],"are":[32],"close":[33],"interest":[38],"target).":[40],"lift":[42],"both":[43],"datasets":[44,141],"space":[47,88],"probability":[49],"distributions":[50,75],"on":[51,76,138],"feature-Gaussian":[53,79],"manifold,":[54],"and":[55,89,114,142],"then":[56],"develop":[57],"minimizes":[63],"maximum":[65],"mean":[66],"discrepancy":[67],"loss.":[68],"To":[69],"perform":[70],"curved":[78],"space,":[80],"we":[81,108],"unravel":[82],"Riemannian":[84,93],"structure":[85],"compute":[90],"explicitly":[91],"loss":[97],"function":[98],"induced":[99],"by":[100],"optimal":[102],"transport":[103],"metric.":[104],"For":[105],"practical":[106],"applications,":[107],"also":[109],"discretized":[112],"flow,":[113],"provide":[115],"conditional":[116],"results":[117,131],"guaranteeing":[118],"global":[120],"convergence":[121],"optimum.":[127],"illustrate":[129],"proposed":[134],"several":[139],"real-world":[140],"show":[143],"can":[146],"improve":[147],"accuracy":[149],"classification":[151],"models":[152],"in":[153],"transfer":[154],"settings.":[156]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}