{"id":"https://openalex.org/W1975294374","doi":"https://doi.org/10.1109/icassp.2013.6638813","title":"A proximal approach for optimization problems involving kullback divergences","display_name":"A proximal approach for optimization problems involving kullback divergences","publication_year":2013,"publication_date":"2013-05-01","ids":{"openalex":"https://openalex.org/W1975294374","doi":"https://doi.org/10.1109/icassp.2013.6638813","mag":"1975294374"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2013.6638813","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2013.6638813","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"},"type":"conference-paper","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/A5088281690","display_name":"Mireille El Gheche","orcid":"https://orcid.org/0000-0002-1035-9768"},"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/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mireille El Gheche","raw_affiliation_strings":["LIGM and UMR-CNRS 8049, Universit\u00e9 Paris Est, Marne-la-Vallee, France","LIGM, Univ. Paris Est, Marne-la-Vallee, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIGM and UMR-CNRS 8049, Universit\u00e9 Paris Est, Marne-la-Vallee, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210152518"]},{"raw_affiliation_string":"LIGM, Univ. Paris Est, Marne-la-Vallee, France","institution_ids":["https://openalex.org/I4210152518"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062845079","display_name":"Jean\u2010Christophe Pesquet","orcid":"https://orcid.org/0000-0002-5943-8061"},"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/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Christophe Pesquet","raw_affiliation_strings":["LIGM and UMR-CNRS 8049, Universit\u00e9 Paris Est, Marne-la-Vallee, France","LIGM, Univ. Paris Est, Marne-la-Vallee, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIGM and UMR-CNRS 8049, Universit\u00e9 Paris Est, Marne-la-Vallee, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210152518"]},{"raw_affiliation_string":"LIGM, Univ. Paris Est, Marne-la-Vallee, France","institution_ids":["https://openalex.org/I4210152518"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103152596","display_name":"Joumana Farah","orcid":"https://orcid.org/0000-0003-4827-8389"},"institutions":[{"id":"https://openalex.org/I189998669","display_name":"Holy Spirit University of Kaslik","ror":"https://ror.org/05g06bh89","country_code":"LB","type":"education","lineage":["https://openalex.org/I189998669"]}],"countries":["LB"],"is_corresponding":false,"raw_author_name":"Joumana Farah","raw_affiliation_strings":["Faculty of Engineering, Telecom. Department, Holy Spirit University of Kaslik, Jounieh, Lebanon","Telecommun. Dept., Holy-Spirit Univ. of Kaslik, Jounieh, Lebanon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, Telecom. Department, Holy Spirit University of Kaslik, Jounieh, Lebanon","institution_ids":["https://openalex.org/I189998669"]},{"raw_affiliation_string":"Telecommun. Dept., Holy-Spirit Univ. of Kaslik, Jounieh, Lebanon","institution_ids":["https://openalex.org/I189998669"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"5984","last_page":"5988"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9886000156402588,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9847999811172485,"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/convex-optimization","display_name":"Convex optimization","score":0.643153965473175},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6003217697143555},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.5949249863624573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5734574794769287},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5458552837371826},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5410794615745544},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5342264175415039},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4932860732078552},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4656921625137329},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.45096355676651},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.43678534030914307},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.42196905612945557},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41545411944389343},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3367113471031189},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2840460538864136}],"concepts":[{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.643153965473175},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6003217697143555},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.5949249863624573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5734574794769287},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5458552837371826},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5410794615745544},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5342264175415039},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4932860732078552},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4656921625137329},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.45096355676651},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.43678534030914307},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.42196905612945557},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41545411944389343},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3367113471031189},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2840460538864136},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/icassp.2013.6638813","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2013.6638813","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Acoustics, Speech and Signal Processing","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.396.664","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.396.664","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal-enpc.archives-ouvertes.fr/docs/00/84/27/05/PDF/Icassp_ELGHECHE.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.635.5285","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.635.5285","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal-upec-upem.archives-ouvertes.fr/docs/00/84/27/05/PDF/Icassp_ELGHECHE.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00842705v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00842705","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":"International Conference on Acoustics, Speech, and Signal Processing (ICASSP), May 2013, Vancouver, Canada. pp.xx-xx","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W26184150","https://openalex.org/W1946620893","https://openalex.org/W2007437458","https://openalex.org/W2010954012","https://openalex.org/W2029236670","https://openalex.org/W2030254567","https://openalex.org/W2056578325","https://openalex.org/W2060331468","https://openalex.org/W2068728923","https://openalex.org/W2081002068","https://openalex.org/W2092663520","https://openalex.org/W2095750723","https://openalex.org/W2110505738","https://openalex.org/W2147068866","https://openalex.org/W2148481429","https://openalex.org/W2148986322","https://openalex.org/W2157099732","https://openalex.org/W2158042553","https://openalex.org/W2164797474","https://openalex.org/W2170608748","https://openalex.org/W2171208486","https://openalex.org/W2188004715","https://openalex.org/W2622705236","https://openalex.org/W6687237085"],"related_works":["https://openalex.org/W4225940264","https://openalex.org/W2551182807","https://openalex.org/W4383822431","https://openalex.org/W4367047287","https://openalex.org/W2008666878","https://openalex.org/W2985979428","https://openalex.org/W2510140549","https://openalex.org/W2187449906","https://openalex.org/W2962818859","https://openalex.org/W2321429733"],"abstract_inverted_index":{"Convex":[0],"optimization":[1,33,80],"problems":[2,24,34,81],"involving":[3],"information":[4],"measures":[5,16],"have":[6],"been":[7],"extensively":[8],"investigated":[9],"in":[10,22,26],"source":[11],"and":[12,28,56],"channel":[13],"coding.":[14],"These":[15],"can":[17],"also":[18],"be":[19],"successfully":[20],"used":[21],"inverse":[23],"encountered":[25],"signal":[27],"image":[29,92],"processing.":[30],"The":[31],"related":[32],"are":[35],"often":[36],"challenging":[37],"due":[38],"to":[39,73],"their":[40],"large":[41],"size.":[42],"In":[43],"this":[44],"paper,":[45],"we":[46,63],"derive":[47],"closed-form":[48],"expressions":[49],"of":[50,54,78,88,104],"the":[51,101,105],"proximity":[52],"operators":[53],"Kullback-Leibler":[55],"Jeffreys-Kullback":[57],"divergences.":[58,90],"Building":[59],"upon":[60],"these":[61,89],"results,":[62],"develop":[64],"an":[65,97],"efficient":[66],"primal-dual":[67],"proximal":[68],"approach.":[69],"This":[70],"allows":[71],"us":[72],"address":[74],"a":[75],"wide":[76],"range":[77],"convex":[79],"whose":[82],"objective":[83],"function":[84],"expression":[85],"includes":[86],"one":[87],"An":[91],"registration":[93],"application":[94],"serves":[95],"as":[96],"example":[98],"for":[99],"illustrating":[100],"good":[102],"performance":[103],"proposed":[106],"method.":[107]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
