{"id":"https://openalex.org/W4402217122","doi":"https://doi.org/10.1090/mcom/4013","title":"An approximation theory framework for measure-transport sampling algorithms","display_name":"An approximation theory framework for measure-transport sampling algorithms","publication_year":2024,"publication_date":"2024-09-04","ids":{"openalex":"https://openalex.org/W4402217122","doi":"https://doi.org/10.1090/mcom/4013"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/4013","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4013","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-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/A5013758180","display_name":"Ricardo Baptista","orcid":"https://orcid.org/0000-0002-5955-8418"},"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"]},{"id":"https://openalex.org/I4210090226","display_name":"Mathematical Systems & Solutions (United States)","ror":"https://ror.org/00apfvn95","country_code":"US","type":"company","lineage":["https://openalex.org/I4210090226"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ricardo Baptista","raw_affiliation_strings":["Computing and Mathematical Sciences, Caltech, Pasadena, California"],"affiliations":[{"raw_affiliation_string":"Computing and Mathematical Sciences, Caltech, Pasadena, California","institution_ids":["https://openalex.org/I122411786","https://openalex.org/I4210090226"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012461935","display_name":"Bamdad Hosseini","orcid":"https://orcid.org/0000-0001-5053-6223"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bamdad Hosseini","raw_affiliation_strings":["Department of Applied Mathematics, University of Washington, Lewis Hall 201, Box 353925, Seattle, WA 98195-3925, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Washington, Lewis Hall 201, Box 353925, Seattle, WA 98195-3925, USA","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074720524","display_name":"Nikola Kovachki","orcid":"https://orcid.org/0000-0002-3650-2972"},"institutions":[{"id":"https://openalex.org/I4210127875","display_name":"Nvidia (United States)","ror":"https://ror.org/03jdj4y14","country_code":"US","type":"company","lineage":["https://openalex.org/I4210127875"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nikola Kovachki","raw_affiliation_strings":["NVIDIA Corporation, 2788 San Tomas Expy, Santa Clara, CA 95051, USA"],"affiliations":[{"raw_affiliation_string":"NVIDIA Corporation, 2788 San Tomas Expy, Santa Clara, CA 95051, USA","institution_ids":["https://openalex.org/I4210127875"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071702167","display_name":"Youssef Marzouk","orcid":"https://orcid.org/0000-0001-8242-3290"},"institutions":[{"id":"https://openalex.org/I4210143601","display_name":"Decision Systems (United States)","ror":"https://ror.org/0434dpa13","country_code":"US","type":"company","lineage":["https://openalex.org/I4210143601"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Youssef Marzouk","raw_affiliation_strings":["Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Room 32-D714, 77 Massachusetts Avenue, Cambridge, MA 02139, USA"],"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Room 32-D714, 77 Massachusetts Avenue, Cambridge, MA 02139, USA","institution_ids":["https://openalex.org/I4210143601"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031661439","display_name":"Amir Sagiv","orcid":"https://orcid.org/0000-0002-0831-216X"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Amir Sagiv","raw_affiliation_strings":["Faculty of Mathematics, Technion\u2013Israel Institute of Technology, Haifa 32000, Israel"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Technion\u2013Israel Institute of Technology, Haifa 32000, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5013758180"],"corresponding_institution_ids":["https://openalex.org/I122411786","https://openalex.org/I4210090226"],"apc_list":null,"apc_paid":null,"fwci":6.2537,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.97077121,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"94","issue":"354","first_page":"1863","last_page":"1909"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9854000210762024,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.983299970626831,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8140257596969604},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6312480568885803},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.46325430274009705},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45130455493927},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.43261903524398804},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40743309259414673},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3682364225387573},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.34054431319236755},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.13281795382499695},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12988826632499695}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8140257596969604},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6312480568885803},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.46325430274009705},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45130455493927},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.43261903524398804},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40743309259414673},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3682364225387573},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34054431319236755},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.13281795382499695},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12988826632499695},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/4013","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4013","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1003723328","display_name":null,"funder_award_id":"FA9550-20-1-0397","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"},{"id":"https://openalex.org/G1108057106","display_name":null,"funder_award_id":"FA9550- 20-1-035","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G1136609528","display_name":null,"funder_award_id":"FA9550- 20-1-035","funder_id":"https://openalex.org/F4320308960","funder_display_name":"United States - Israel Binational Science Foundation"},{"id":"https://openalex.org/G1193267745","display_name":null,"funder_award_id":"N00014-20-1-2595","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G120844272","display_name":null,"funder_award_id":"2022254","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G1213509871","display_name":null,"funder_award_id":"DMS-208535","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G1262598121","display_name":null,"funder_award_id":"FA9550- 20-1-0358","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"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/G1381923757","display_name":null,"funder_award_id":"FA9550-20-1-0397","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G1503617833","display_name":null,"funder_award_id":"DE-SC0023187","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1593034225","display_name":null,"funder_award_id":"DE-SC0021226","funder_id":"https://openalex.org/F4320308960","funder_display_name":"United States - Israel Binational Science Foundation"},{"id":"https://openalex.org/G1916855348","display_name":null,"funder_award_id":"DMS-208535","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2344021758","display_name":null,"funder_award_id":"DMS-208535","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G2791819374","display_name":null,"funder_award_id":"FA9550- 20-1-035","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G294415284","display_name":null,"funder_award_id":"FA9550- 20-1-035","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3164964408","display_name":null,"funder_award_id":"FA9550-20-1-0397","funder_id":"https://openalex.org/F4320308960","funder_display_name":"United States - Israel Binational Science Foundation"},{"id":"https://openalex.org/G3259942043","display_name":null,"funder_award_id":"FA9550- 20-1-035","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G3349653785","display_name":null,"funder_award_id":"DE-SC0023188","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3362102171","display_name":null,"funder_award_id":"DE-SC0023188","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3536716677","display_name":null,"funder_award_id":"DE-SC0021226","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"},{"id":"https://openalex.org/G3574662147","display_name":null,"funder_award_id":"DE-SC0023187","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G360391935","display_name":null,"funder_award_id":"376319","funder_id":"https://openalex.org/F4320308960","funder_display_name":"United States - Israel Binational Science Foundation"},{"id":"https://openalex.org/G3805144947","display_name":null,"funder_award_id":"DE-SC0023187","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G3860095898","display_name":null,"funder_award_id":"FA9550- 20-1-035","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G397261105","display_name":null,"funder_award_id":"FA9550- 20-1-0358","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G4217151737","display_name":null,"funder_award_id":"FA9550-20-1-0397","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G4442104222","display_name":null,"funder_award_id":"2022254","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G4475913779","display_name":null,"funder_award_id":"2022254","funder_id":"https://openalex.org/F4320308960","funder_display_name":"United States - Israel Binational Science Foundation"},{"id":"https://openalex.org/G451438142","display_name":null,"funder_award_id":"DE-SC0021226","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G4561551513","display_name":null,"funder_award_id":"FA9550- 20-1-035","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"},{"id":"https://openalex.org/G4594076464","display_name":null,"funder_award_id":"2022254","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"},{"id":"https://openalex.org/G4630837602","display_name":null,"funder_award_id":"N00014-20-1-2595","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G4846022853","display_name":null,"funder_award_id":"376319","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"},{"id":"https://openalex.org/G488765237","display_name":null,"funder_award_id":"DE-SC0021226","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4919016695","display_name":null,"funder_award_id":"DMS-208535","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G508718164","display_name":null,"funder_award_id":"2022254","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5205659071","display_name":null,"funder_award_id":"DE-SC0023187","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"},{"id":"https://openalex.org/G5227206095","display_name":null,"funder_award_id":"DE-SC0023188","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G5251815609","display_name":null,"funder_award_id":"DE-SC0021226","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G528920399","display_name":null,"funder_award_id":"N00014-20-1-2595","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"},{"id":"https://openalex.org/G5539729676","display_name":null,"funder_award_id":"DMS-208535","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G5936414428","display_name":null,"funder_award_id":"DE-SC0021226","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G629547638","display_name":null,"funder_award_id":"DMS-208535","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"},{"id":"https://openalex.org/G6545045158","display_name":null,"funder_award_id":"N00014-20-1-2595","funder_id":"https://openalex.org/F4320308960","funder_display_name":"United States - Israel Binational Science Foundation"},{"id":"https://openalex.org/G6622536446","display_name":null,"funder_award_id":"DE-SC0023188","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G6863061091","display_name":null,"funder_award_id":"FA9550- 20-1-0358","funder_id":"https://openalex.org/F4320308960","funder_display_name":"United States - Israel Binational Science Foundation"},{"id":"https://openalex.org/G6907182356","display_name":null,"funder_award_id":"N00014-20-1-2595","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G7079161652","display_name":null,"funder_award_id":"376319","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7158278916","display_name":null,"funder_award_id":"FA9550- 20-1-0358","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G7185513043","display_name":null,"funder_award_id":"DE-SC0023188","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"},{"id":"https://openalex.org/G7191855438","display_name":null,"funder_award_id":"FA9550- 20-1-0358","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G719196234","display_name":null,"funder_award_id":"FA9550-20-1-0397","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7428862530","display_name":null,"funder_award_id":"N00014-20-1-2595","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7531659288","display_name":null,"funder_award_id":"DE-SC0023187","funder_id":"https://openalex.org/F4320308960","funder_display_name":"United States - Israel Binational Science Foundation"},{"id":"https://openalex.org/G7546795808","display_name":null,"funder_award_id":"376319","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G7559125070","display_name":null,"funder_award_id":"DE-SC0023187","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G7691047493","display_name":null,"funder_award_id":"DE-SC0021226","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G7694539700","display_name":null,"funder_award_id":"DMS-208535","funder_id":"https://openalex.org/F4320308960","funder_display_name":"United States - Israel Binational Science Foundation"},{"id":"https://openalex.org/G7795747187","display_name":null,"funder_award_id":"FA9550- 20-1-0358","funder_id":"https://openalex.org/F4320332467","funder_display_name":"U.S. Air Force"},{"id":"https://openalex.org/G7799775905","display_name":null,"funder_award_id":"2022254","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G7839240705","display_name":null,"funder_award_id":"DE-SC0023187","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G798507630","display_name":null,"funder_award_id":"FA9550- 20-1-0358","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8132839877","display_name":null,"funder_award_id":"376319","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G8147322380","display_name":null,"funder_award_id":"DE-SC0023188","funder_id":"https://openalex.org/F4320308960","funder_display_name":"United States - Israel Binational Science Foundation"},{"id":"https://openalex.org/G829089859","display_name":null,"funder_award_id":"376319","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8362747249","display_name":null,"funder_award_id":"DE-SC0023188","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8412777013","display_name":null,"funder_award_id":"2022254","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G8489332825","display_name":null,"funder_award_id":"376319","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8601398615","display_name":null,"funder_award_id":"FA9550-20-1-0397","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8776018607","display_name":null,"funder_award_id":"N00014-20-1-2595","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320308960","display_name":"United States - Israel Binational Science Foundation","ror":"https://ror.org/00j8z2m73"},{"id":"https://openalex.org/F4320332467","display_name":"U.S. Air Force","ror":"https://ror.org/006gmme17"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":95,"referenced_works":["https://openalex.org/W1855169650","https://openalex.org/W1985506636","https://openalex.org/W1987377268","https://openalex.org/W1994231336","https://openalex.org/W1995565517","https://openalex.org/W1998037613","https://openalex.org/W2013945773","https://openalex.org/W2023068707","https://openalex.org/W2023103251","https://openalex.org/W2034265413","https://openalex.org/W2041944459","https://openalex.org/W2052643735","https://openalex.org/W2056709476","https://openalex.org/W2056716515","https://openalex.org/W2068013644","https://openalex.org/W2070792261","https://openalex.org/W2071048859","https://openalex.org/W2089637645","https://openalex.org/W2090047084","https://openalex.org/W2096413780","https://openalex.org/W2104067967","https://openalex.org/W2128606042","https://openalex.org/W2135194391","https://openalex.org/W2149498546","https://openalex.org/W2150062983","https://openalex.org/W2152657433","https://openalex.org/W2158581396","https://openalex.org/W2169837720","https://openalex.org/W2222525945","https://openalex.org/W2225156818","https://openalex.org/W2237186242","https://openalex.org/W2310844257","https://openalex.org/W2337227421","https://openalex.org/W2418306335","https://openalex.org/W2560732292","https://openalex.org/W2568336365","https://openalex.org/W2569729041","https://openalex.org/W2587352372","https://openalex.org/W2765811365","https://openalex.org/W2810998233","https://openalex.org/W2887833842","https://openalex.org/W2889046694","https://openalex.org/W2913510728","https://openalex.org/W2947509067","https://openalex.org/W2949883708","https://openalex.org/W2953480975","https://openalex.org/W2962678797","https://openalex.org/W2962851448","https://openalex.org/W2963428861","https://openalex.org/W2963761732","https://openalex.org/W2963849628","https://openalex.org/W2992005611","https://openalex.org/W2992035660","https://openalex.org/W3005256403","https://openalex.org/W3010758268","https://openalex.org/W3016014818","https://openalex.org/W3021748939","https://openalex.org/W3038572203","https://openalex.org/W3042743256","https://openalex.org/W3046982294","https://openalex.org/W3098700198","https://openalex.org/W3099467939","https://openalex.org/W3106100017","https://openalex.org/W3133338006","https://openalex.org/W3138583834","https://openalex.org/W3140884725","https://openalex.org/W3150807214","https://openalex.org/W3178968719","https://openalex.org/W3183498204","https://openalex.org/W4206471589","https://openalex.org/W4210363725","https://openalex.org/W4210960245","https://openalex.org/W4212863985","https://openalex.org/W4220936630","https://openalex.org/W4224997934","https://openalex.org/W4233271215","https://openalex.org/W4233762729","https://openalex.org/W4240608017","https://openalex.org/W4250954493","https://openalex.org/W4253577938","https://openalex.org/W4254743102","https://openalex.org/W4255839052","https://openalex.org/W4292403327","https://openalex.org/W4293052541","https://openalex.org/W4295022726","https://openalex.org/W4300600608","https://openalex.org/W4310446950","https://openalex.org/W4312258136","https://openalex.org/W4391483226","https://openalex.org/W4401455382","https://openalex.org/W6607723484","https://openalex.org/W6649671504","https://openalex.org/W6680004793","https://openalex.org/W6737161507","https://openalex.org/W6784975392"],"related_works":["https://openalex.org/W4255837520","https://openalex.org/W2387011115","https://openalex.org/W4234808182","https://openalex.org/W2382043075","https://openalex.org/W2809151339","https://openalex.org/W2216913934","https://openalex.org/W2360673138","https://openalex.org/W2809370583","https://openalex.org/W4301447905","https://openalex.org/W2333722679"],"abstract_inverted_index":{"This":[0],"article":[1],"presents":[2],"a":[3,34,61,121],"general":[4],"approximation-theoretic":[5],"framework":[6],"to":[7,108],"analyze":[8],"measure":[9],"transport":[10,54,73],"algorithms":[11,21],"for":[12,19,80,134,148],"probabilistic":[13],"modeling.":[14,31],"A":[15,83],"primary":[16],"motivating":[17],"application":[18],"such":[20],"is":[22,56,90,94],"sampling\u2014a":[23],"central":[24],"task":[25],"in":[26,38],"statistical":[27],"inference":[28],"and":[29,75,143,164],"generative":[30],"We":[32,119],"provide":[33],"priori":[35],"error":[36],"estimates":[37,100],"the":[39,44,53,69,95,103,109,114,151],"continuum":[40],"limit,":[41],"i.e.,":[42],"when":[43,52],"measures":[45,116],"(or":[46,111],"their":[47],"densities)":[48],"are":[49,132,156],"given,":[50],"but":[51],"map":[55],"discretized":[57],"or":[58],"approximated":[59],"using":[60,137],"finite-dimensional":[62],"function":[63],"space.":[64],"Our":[65],"analysis":[66],"relies":[67],"on":[68,76],"regularity":[70],"theory":[71,79],"of":[72,86,91,97,123,125,150],"maps":[74,107,155],"classical":[77],"approximation":[78],"high-dimensional":[81],"functions.":[82],"third":[84],"element":[85],"our":[87,126,166],"analysis,":[88],"which":[89],"independent":[92],"interest,":[93],"development":[96],"new":[98],"stability":[99],"that":[101,162],"relate":[102],"distance":[104,110],"between":[105,113],"two":[106],"divergence)":[112],"pushforward":[115],"they":[117],"define.":[118],"present":[120],"series":[122],"applications":[124],"framework,":[127],"where":[128],"quantitative":[129],"convergence":[130],"rates":[131,147],"obtained":[133],"practical":[135],"problems":[136],"Wasserstein":[138],"metrics,":[139],"maximum":[140],"mean":[141],"discrepancy,":[142],"Kullback\u2013Leibler":[144],"divergence.":[145],"Specialized":[146],"approximations":[149],"popular":[152],"triangular":[153],"Kn\u00f6the\u2013Rosenblatt":[154],"obtained,":[157],"followed":[158],"by":[159],"numerical":[160],"experiments":[161],"demonstrate":[163],"extend":[165],"theory.":[167]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
