{"id":"https:\/\/openalex.org\/W7123665109","doi":"https:\/\/doi.org\/10.48550\/arxiv.2601.06830","title":"Constrained Density Estimation via Optimal Transport","display_name":"Constrained Density Estimation via Optimal Transport","publication_year":2026,"publication_date":"2026-01-11","ids":{"openalex":"https:\/\/openalex.org\/W7123665109","doi":"https:\/\/doi.org\/10.48550\/arxiv.2601.06830"},"language":null,"primary_location":{"id":"doi:10.48550\/arxiv.2601.06830","is_oa":true,"landing_page_url":"https:\/\/doi.org\/10.48550\/arxiv.2601.06830","pdf_url":null,"source":{"id":"https:\/\/openalex.org\/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https:\/\/doi.org\/10.48550\/arxiv.2601.06830","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https:\/\/openalex.org\/A5102304852","display_name":"Yinan Hu","orcid":"https:\/\/orcid.org\/0000-0001-7317-1511"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hu, Yinan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https:\/\/openalex.org\/A5033088007","display_name":"Esteban G. Tabak","orcid":"https:\/\/orcid.org\/0000-0003-0522-8955"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tabak, Esteban G.","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":0,"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\/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.4756999909877777,"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":0.4756999909877777,"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\/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.16539999842643738,"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\/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.057999998331069946,"subfield":{"id":"https:\/\/openalex.org\/subfields\/2206","display_name":"Computational Mechanics"},"field":{"id":"https:\/\/openalex.org\/fields\/22","display_name":"Engineering"},"domain":{"id":"https:\/\/openalex.org\/domains\/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https:\/\/openalex.org\/keywords\/probability-density-function","display_name":"Probability density function","score":0.5472999811172485},{"id":"https:\/\/openalex.org\/keywords\/density-estimation","display_name":"Density estimation","score":0.5318999886512756},{"id":"https:\/\/openalex.org\/keywords\/set","display_name":"Set (abstract data type)","score":0.4706000089645386},{"id":"https:\/\/openalex.org\/keywords\/constraint","display_name":"Constraint (computer-aided design)","score":0.44020000100135803},{"id":"https:\/\/openalex.org\/keywords\/minification","display_name":"Minification","score":0.41290000081062317},{"id":"https:\/\/openalex.org\/keywords\/regularization","display_name":"Regularization (linguistics)","score":0.4059000015258789},{"id":"https:\/\/openalex.org\/keywords\/estimation-theory","display_name":"Estimation theory","score":0.35600000619888306},{"id":"https:\/\/openalex.org\/keywords\/estimation","display_name":"Estimation","score":0.35199999809265137}],"concepts":[{"id":"https:\/\/openalex.org\/C126255220","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6380000114440918},{"id":"https:\/\/openalex.org\/C33923547","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q395","display_name":"Mathematics","level":0,"score":0.5587999820709229},{"id":"https:\/\/openalex.org\/C197055811","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q207522","display_name":"Probability density function","level":2,"score":0.5472999811172485},{"id":"https:\/\/openalex.org\/C189508267","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q17088227","display_name":"Density estimation","level":3,"score":0.5318999886512756},{"id":"https:\/\/openalex.org\/C177264268","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4706000089645386},{"id":"https:\/\/openalex.org\/C2776036281","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.44020000100135803},{"id":"https:\/\/openalex.org\/C11413529","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q8366","display_name":"Algorithm","level":1,"score":0.4212999939918518},{"id":"https:\/\/openalex.org\/C147764199","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q6865248","display_name":"Minification","level":2,"score":0.41290000081062317},{"id":"https:\/\/openalex.org\/C2776135515","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.4059000015258789},{"id":"https:\/\/openalex.org\/C41008148","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q21198","display_name":"Computer science","level":0,"score":0.36419999599456787},{"id":"https:\/\/openalex.org\/C28826006","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q33521","display_name":"Applied mathematics","level":1,"score":0.3630000054836273},{"id":"https:\/\/openalex.org\/C167928553","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q1376021","display_name":"Estimation theory","level":2,"score":0.35600000619888306},{"id":"https:\/\/openalex.org\/C96250715","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q965330","display_name":"Estimation","level":2,"score":0.35199999809265137},{"id":"https:\/\/openalex.org\/C55660270","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q5164377","display_name":"Constrained optimization","level":2,"score":0.3440000116825104},{"id":"https:\/\/openalex.org\/C71134354","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q458825","display_name":"Kernel density estimation","level":3,"score":0.336899995803833},{"id":"https:\/\/openalex.org\/C2776291640","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.3244999945163727},{"id":"https:\/\/openalex.org\/C2780009758","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.30329999327659607},{"id":"https:\/\/openalex.org\/C14036430","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q3736076","display_name":"Function (biology)","level":2,"score":0.2948000133037567},{"id":"https:\/\/openalex.org\/C61797465","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q1188986","display_name":"Term (time)","level":2,"score":0.29350000619888306},{"id":"https:\/\/openalex.org\/C39425265","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q7098944","display_name":"Optimal estimation","level":2,"score":0.2897000014781952},{"id":"https:\/\/openalex.org\/C58489278","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q1172284","display_name":"Data set","level":2,"score":0.2888000011444092},{"id":"https:\/\/openalex.org\/C160920958","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q7662746","display_name":"Synthetic data","level":2,"score":0.2800000011920929},{"id":"https:\/\/openalex.org\/C3020493868","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q55631277","display_name":"Real world data","level":2,"score":0.27309998869895935}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550\/arxiv.2601.06830","is_oa":true,"landing_page_url":"https:\/\/doi.org\/10.48550\/arxiv.2601.06830","pdf_url":null,"source":{"id":"https:\/\/openalex.org\/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"doi:10.48550\/arxiv.2601.06830","is_oa":true,"landing_page_url":"https:\/\/doi.org\/10.48550\/arxiv.2601.06830","pdf_url":null,"source":{"id":"https:\/\/openalex.org\/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"score":0.48751986026763916,"id":"https:\/\/metadata.un.org\/sdg\/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"A":[0],"novel":[1],"framework":[2,12,43],"for":[3],"density":[4,20],"estimation":[5],"under":[6],"expectation":[7],"constraints":[8,27],"is":[9,44,61],"proposed.":[10],"The":[11,42],"minimizes":[13],"the":[14,18,26,29,52,55],"Wasserstein":[15],"distance":[16],"between":[17],"estimated":[19],"and":[21,74],"a":[22,33],"prior,":[23],"subject":[24],"to":[25,46,50,63],"that":[28],"expected":[30],"value":[31],"of":[32,35],"set":[34],"functions":[36],"adopts":[37],"or":[38],"exceeds":[39],"given":[40],"values.":[41],"generalized":[45],"include":[47],"regularization":[48],"inequalities":[49],"mitigate":[51],"artifacts":[53],"in":[54,79],"target":[56],"measure.":[57],"An":[58],"annealing-like":[59],"algorithm":[60],"developed":[62],"address":[64],"non-smooth":[65],"constraints,":[66],"with":[67],"its":[68],"effectiveness":[69],"demonstrated":[70],"through":[71],"both":[72],"synthetic":[73],"proof-of-concept":[75],"real":[76],"world":[77],"examples":[78],"finance.":[80]},"counts_by_year":[],"updated_date":"2026-08-16T07:02:28.622633","created_date":"2026-01-14T00:00:00"}