{"id":"https://openalex.org/W4415102405","doi":"https://doi.org/10.1137/24m1693349","title":"Marginal-Constrained Modified Wasserstein Barycenters for Gaussian Distributions and Gaussian Mixtures","display_name":"Marginal-Constrained Modified Wasserstein Barycenters for Gaussian Distributions and Gaussian Mixtures","publication_year":2026,"publication_date":"2026-01-12","ids":{"openalex":"https://openalex.org/W4415102405","doi":"https://doi.org/10.1137/24m1693349"},"language":"en","primary_location":{"id":"doi:10.1137/24m1693349","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1693349","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","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/A5092205155","display_name":"Maxime Dalery","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4387152972","display_name":"Laboratoire de Math\u00e9matiques de Besan\u00e7on","ror":"https://ror.org/04nrhwg12","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4387152972","https://openalex.org/I4405256580"]},{"id":"https://openalex.org/I4405256580","display_name":"Universit\u00e9 Marie et Louis Pasteur","ror":"https://ror.org/04asdee31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4405256580"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Maxime Dalery","raw_affiliation_strings":["Universit\u00e9 Marie et Louis Pasteur, CNRS, LmB (UMR 6623), F-25000 Besan\u00e7on, France","LMB - Laboratoire de Math\u00e9matiques de Besan\u00e7on (UMR 6623) (UFR Sciences et techniques 16 route de Gray 25 030 Besan\u00e7on cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Marie et Louis Pasteur, CNRS, LmB (UMR 6623), F-25000 Besan\u00e7on, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4405256580"]},{"raw_affiliation_string":"LMB - Laboratoire de Math\u00e9matiques de Besan\u00e7on (UMR 6623) (UFR Sciences et techniques 16 route de Gray 25 030 Besan\u00e7on cedex - France)","institution_ids":["https://openalex.org/I4387152972"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112520321","display_name":"Genevi\u00e8ve Dusson","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4387152972","display_name":"Laboratoire de Math\u00e9matiques de Besan\u00e7on","ror":"https://ror.org/04nrhwg12","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4387152972","https://openalex.org/I4405256580"]},{"id":"https://openalex.org/I4405256580","display_name":"Universit\u00e9 Marie et Louis Pasteur","ror":"https://ror.org/04asdee31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4405256580"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Genevi\u00e8ve Dusson","raw_affiliation_strings":["Universit\u00e9 Marie et Louis Pasteur, CNRS, LmB (UMR 6623), F-25000 Besan\u00e7on, France","LMB - Laboratoire de Math\u00e9matiques de Besan\u00e7on (UMR 6623) (UFR Sciences et techniques 16 route de Gray 25 030 Besan\u00e7on cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Marie et Louis Pasteur, CNRS, LmB (UMR 6623), F-25000 Besan\u00e7on, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4405256580"]},{"raw_affiliation_string":"LMB - Laboratoire de Math\u00e9matiques de Besan\u00e7on (UMR 6623) (UFR Sciences et techniques 16 route de Gray 25 030 Besan\u00e7on cedex - France)","institution_ids":["https://openalex.org/I4387152972"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043821615","display_name":"Virginie Ehrlacher","orcid":"https://orcid.org/0000-0001-6540-4784"},"institutions":[{"id":"https://openalex.org/I4210128309","display_name":"CERMICS","ror":"https://ror.org/03wct8w46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Virginie Ehrlacher","raw_affiliation_strings":["CERMICS, ENPC, Institut Polytechnique de Paris, Marne-la-Vall\u00e9e, France, and MATHERIALS project-team, Inria, Paris, France","CERMICS - Centre d'Enseignement et de Recherche en Math\u00e9matiques et Calcul Scientifique (6 et 8 avenue Blaise Pascal Cit\u00e9 Descartes - Champs sur Marne 77455 Marne la Vall\u00e9e Cedex 2 - France)","MATHERIALS - MATHematics for MatERIALS (Cit\u00e9 Descartes, 8 Av. Blaise Pascal 6 et, 77420 Champs-sur-Marne - France)"],"raw_orcid":"https://orcid.org/0000-0001-6540-4784","affiliations":[{"raw_affiliation_string":"CERMICS, ENPC, Institut Polytechnique de Paris, Marne-la-Vall\u00e9e, France, and MATHERIALS project-team, Inria, Paris, France","institution_ids":["https://openalex.org/I4210128309"]},{"raw_affiliation_string":"CERMICS - Centre d'Enseignement et de Recherche en Math\u00e9matiques et Calcul Scientifique (6 et 8 avenue Blaise Pascal Cit\u00e9 Descartes - Champs sur Marne 77455 Marne la Vall\u00e9e Cedex 2 - France)","institution_ids":["https://openalex.org/I4210128309"]},{"raw_affiliation_string":"MATHERIALS - MATHematics for MatERIALS (Cit\u00e9 Descartes, 8 Av. Blaise Pascal 6 et, 77420 Champs-sur-Marne - France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"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":0.00669759,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"47","issue":"1","first_page":"48","last_page":"76"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9369999766349792,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9369999766349792,"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/gaussian","display_name":"Gaussian","score":0.6399000287055969},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.36739999055862427},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.3628000020980835},{"id":"https://openalex.org/keywords/gaussian-random-field","display_name":"Gaussian random field","score":0.35510000586509705},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.2939000129699707}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7843000292778015},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6399000287055969},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44620001316070557},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.384799987077713},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.36739999055862427},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.3628000020980835},{"id":"https://openalex.org/C51267290","wikidata":"https://www.wikidata.org/wiki/Q5527848","display_name":"Gaussian random field","level":4,"score":0.35510000586509705},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.350600004196167},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.2939000129699707},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2736999988555908},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2605000138282776},{"id":"https://openalex.org/C18912344","wikidata":"https://www.wikidata.org/wiki/Q866810","display_name":"Generalized inverse Gaussian distribution","level":5,"score":0.2572999894618988},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.2535000145435333}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/24m1693349","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1693349","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04696783v2","is_oa":false,"landing_page_url":"https://hal.science/hal-04696783","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications, 2026, 47 (1), pp.48-76. ⟨10.1137/24M1693349⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G398379830","display_name":null,"funder_award_id":"101077204","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"},{"id":"https://openalex.org/G4831747326","display_name":null,"funder_award_id":"ANR-24-CE46-2255","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G812171912","display_name":null,"funder_award_id":"ANR-15-IDEX-0003","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320327269","display_name":"Conseil r\u00e9gional de Bourgogne-Franche-Comt\u00e9","ror":"https://ror.org/04t9bwz39"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[],"updated_date":"2026-06-21T07:57:09.225873","created_date":"2025-10-13T00:00:00"}