{"id":"https://openalex.org/W3181942598","doi":"https://doi.org/10.1007/978-3-030-80209-7_88","title":"Minimization with Respect to\u00a0Divergences and Applications","display_name":"Minimization with Respect to\u00a0Divergences and Applications","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3181942598","doi":"https://doi.org/10.1007/978-3-030-80209-7_88","mag":"3181942598"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-80209-7_88","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-80209-7_88","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.sorbonne-universite.fr/hal-03329875","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048396097","display_name":"P. Bertrand","orcid":"https://orcid.org/0000-0003-0838-8161"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4387155306","display_name":"Laboratoire de Probabilit\u00e9s, Statistique et Mod\u00e9lisation","ror":"https://ror.org/02vnd0e65","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4387155306"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Pierre Bertrand","raw_affiliation_strings":["Laboratoire de Probabilit\u00e9s, Statistique et Mod\u00e9lisation, Sorbonne Universit\u00e9, Paris, France"],"raw_orcid":"https://orcid.org/0000-0003-0838-8161","affiliations":[{"raw_affiliation_string":"Laboratoire de Probabilit\u00e9s, Statistique et Mod\u00e9lisation, Sorbonne Universit\u00e9, Paris, France","institution_ids":["https://openalex.org/I4387155306","https://openalex.org/I39804081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004804647","display_name":"Michel Broniatowski","orcid":"https://orcid.org/0000-0001-6301-5531"},"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/I182627622","display_name":"Universit\u00e9 Sorbonne Nouvelle","ror":"https://ror.org/03z6jp965","country_code":"FR","type":"education","lineage":["https://openalex.org/I182627622"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4387155306","display_name":"Laboratoire de Probabilit\u00e9s, Statistique et Mod\u00e9lisation","ror":"https://ror.org/02vnd0e65","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4387155306"]},{"id":"https://openalex.org/I51101395","display_name":"Universit\u00e9 Paris 1 Panth\u00e9on-Sorbonne","ror":"https://ror.org/002t25c44","country_code":"FR","type":"education","lineage":["https://openalex.org/I51101395"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Michel Broniatowski","raw_affiliation_strings":["CNRS UMR 8001, Sorbonne Universit\u00e9, Paris, France","Laboratoire de Probabilit\u00e9s, Statistique et Mod\u00e9lisation, Sorbonne Universit\u00e9, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS UMR 8001, Sorbonne Universit\u00e9, Paris, France","institution_ids":["https://openalex.org/I182627622","https://openalex.org/I39804081","https://openalex.org/I51101395","https://openalex.org/I1294671590","https://openalex.org/I4387155306"]},{"raw_affiliation_string":"Laboratoire de Probabilit\u00e9s, Statistique et Mod\u00e9lisation, Sorbonne Universit\u00e9, Paris, France","institution_ids":["https://openalex.org/I4387155306","https://openalex.org/I39804081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000930783","display_name":"Jean-Fran\u00e7ois Marcotorchino","orcid":null},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Fran\u00e7ois Marcotorchino","raw_affiliation_strings":["Institut de Statistique, Sorbonne Universit\u00e9, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Statistique, Sorbonne Universit\u00e9, Paris, France","institution_ids":["https://openalex.org/I39804081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048396097"],"corresponding_institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4387155306"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.958,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.76367265,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"818","last_page":"828"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9970999956130981,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9970999956130981,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9879999756813049,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9692999720573425,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.8081574440002441},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.657805323600769},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5656957030296326},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.5626325011253357},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5616931319236755},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5260080099105835},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.5124385952949524},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37328776717185974},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3641442656517029},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34716999530792236},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33332857489585876},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2968764007091522},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14114075899124146},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07856443524360657},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06605467200279236}],"concepts":[{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.8081574440002441},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.657805323600769},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5656957030296326},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.5626325011253357},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5616931319236755},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5260080099105835},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.5124385952949524},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37328776717185974},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3641442656517029},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34716999530792236},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33332857489585876},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2968764007091522},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14114075899124146},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07856443524360657},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06605467200279236},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-030-80209-7_88","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-80209-7_88","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-03329875v1","is_oa":true,"landing_page_url":"https://hal.sorbonne-universite.fr/hal-03329875","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"GSI 2021: Geometric Science of Information, pp.818-828, 2021, ⟨10.1007/978-3-030-80209-7_88⟩","raw_type":"Book sections"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03329875v1","is_oa":true,"landing_page_url":"https://hal.sorbonne-universite.fr/hal-03329875","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"GSI 2021: Geometric Science of Information, pp.818-828, 2021, ⟨10.1007/978-3-030-80209-7_88⟩","raw_type":"Book sections"},"sustainable_development_goals":[{"score":0.699999988079071,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W385466589","https://openalex.org/W2006222780","https://openalex.org/W2029420412","https://openalex.org/W2058560977","https://openalex.org/W2060588708","https://openalex.org/W2105016507","https://openalex.org/W2123097583","https://openalex.org/W2155969596","https://openalex.org/W2792209441","https://openalex.org/W2795504540","https://openalex.org/W2958793266","https://openalex.org/W2974382686","https://openalex.org/W3103345930","https://openalex.org/W3114365067","https://openalex.org/W3136296599","https://openalex.org/W3157276965","https://openalex.org/W3160936086","https://openalex.org/W4210287635","https://openalex.org/W4233762729","https://openalex.org/W6607520106"],"related_works":["https://openalex.org/W2105321464","https://openalex.org/W2887774187","https://openalex.org/W2388220555","https://openalex.org/W1554844486","https://openalex.org/W1520875569","https://openalex.org/W3048739257","https://openalex.org/W1665563134","https://openalex.org/W2963604926","https://openalex.org/W2199957582","https://openalex.org/W2033178790"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}