{"id":"https://openalex.org/W2730118239","doi":"https://doi.org/10.1007/s10957-018-01452-0","title":"Non-smooth Non-convex Bregman Minimization: Unification and New Algorithms","display_name":"Non-smooth Non-convex Bregman Minimization: Unification and New Algorithms","publication_year":2018,"publication_date":"2018-12-06","ids":{"openalex":"https://openalex.org/W2730118239","doi":"https://doi.org/10.1007/s10957-018-01452-0","mag":"2730118239"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-018-01452-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-018-01452-0","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1707.02278","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082194697","display_name":"Peter Ochs","orcid":"https://orcid.org/0000-0002-4880-7511"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Peter Ochs","raw_affiliation_strings":["Saarland University, Saarbr\u00fccken, Germany","Saarland University, Saarbrucken, Germany#TAB#"],"raw_orcid":"https://orcid.org/0000-0002-4880-7511","affiliations":[{"raw_affiliation_string":"Saarland University, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Saarland University, Saarbrucken, Germany#TAB#","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008136365","display_name":"Jalal Fadili","orcid":"https://orcid.org/0000-0002-8165-7578"},"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/I194210350","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'Ing\u00e9nieurs de Caen","ror":"https://ror.org/01fpqqe90","country_code":"FR","type":"education","lineage":["https://openalex.org/I194210350","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210139483","display_name":"GREYC","ror":"https://ror.org/043749971","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I4210159245","https://openalex.org/I98702875"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jalal Fadili","raw_affiliation_strings":["Normandie Universit\u00e9 ENSICAEN, CNRS, GREYC, Caen, France","Normandie Universit\u00e9-ENSICAEN, CNRS, GREYC, Caen, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Normandie Universit\u00e9 ENSICAEN, CNRS, GREYC, Caen, France","institution_ids":["https://openalex.org/I194210350","https://openalex.org/I4210139483","https://openalex.org/I1294671590","https://openalex.org/I4210105918"]},{"raw_affiliation_string":"Normandie Universit\u00e9-ENSICAEN, CNRS, GREYC, Caen, France","institution_ids":["https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070290355","display_name":"Thomas Brox","orcid":"https://orcid.org/0000-0002-6282-8861"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Brox","raw_affiliation_strings":["University of Freiburg, Freiburg, Germany","Computer Vision Lab [Freiburg]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Freiburg, Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]},{"raw_affiliation_string":"Computer Vision Lab [Freiburg]","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082194697"],"corresponding_institution_ids":["https://openalex.org/I91712215"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3385,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66596029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"181","issue":"1","first_page":"244","last_page":"278"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.7053999900817871,"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"}},"topics":[{"id":"https://openalex.org/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.7053999900817871,"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":0.14910000562667847,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.02199999988079071,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/unification","display_name":"Unification","score":0.7647351026535034},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.6313461661338806},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5873149633407593},{"id":"https://openalex.org/keywords/bregman-divergence","display_name":"Bregman divergence","score":0.5358700752258301},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4908216893672943},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4863470196723938},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.4596315324306488},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4587116837501526},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37075185775756836},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3052261471748352},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.22875156998634338},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12758752703666687}],"concepts":[{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.7647351026535034},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.6313461661338806},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5873149633407593},{"id":"https://openalex.org/C149073432","wikidata":"https://www.wikidata.org/wiki/Q4960382","display_name":"Bregman divergence","level":2,"score":0.5358700752258301},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4908216893672943},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4863470196723938},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.4596315324306488},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4587116837501526},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37075185775756836},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3052261471748352},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.22875156998634338},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12758752703666687},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10957-018-01452-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-018-01452-0","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1707.02278","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.02278","pdf_url":"https://arxiv.org/pdf/1707.02278","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01908749v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01908749","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":"Journal of Optimization Theory and Applications, In press","raw_type":"Journal articles"},{"id":"pmh:oai:HAL:hal-01921804v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01921804","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":"Journal of Optimization Theory and Applications, In press","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:joptap:v:181:y:2019:i:1:d:10.1007_s10957-018-01452-0","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-018-01452-0","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.48550/arxiv.1707.02278","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1707.02278","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1707.02278","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.02278","pdf_url":"https://arxiv.org/pdf/1707.02278","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1343565032","display_name":null,"funder_award_id":"OC 150/1-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1677069601","https://openalex.org/W1902027874","https://openalex.org/W1967138577","https://openalex.org/W1967374611","https://openalex.org/W2000462146","https://openalex.org/W2020999234","https://openalex.org/W2021361347","https://openalex.org/W2022164193","https://openalex.org/W2022541060","https://openalex.org/W2027982384","https://openalex.org/W2033468335","https://openalex.org/W2053608531","https://openalex.org/W2056385679","https://openalex.org/W2059889790","https://openalex.org/W2079576032","https://openalex.org/W2087070363","https://openalex.org/W2089725613","https://openalex.org/W2090376964","https://openalex.org/W2099677729","https://openalex.org/W2105464873","https://openalex.org/W2114487471","https://openalex.org/W2118429861","https://openalex.org/W2118550318","https://openalex.org/W2122890444","https://openalex.org/W2124541940","https://openalex.org/W2140867429","https://openalex.org/W2141390467","https://openalex.org/W2155583876","https://openalex.org/W2198227614","https://openalex.org/W2331639718","https://openalex.org/W2404400936","https://openalex.org/W2483424358","https://openalex.org/W2551153860","https://openalex.org/W2607103028","https://openalex.org/W2962706047","https://openalex.org/W2963118312","https://openalex.org/W4229650096","https://openalex.org/W4238056994","https://openalex.org/W4244769743","https://openalex.org/W4249513058"],"related_works":["https://openalex.org/W1995866744","https://openalex.org/W179685519","https://openalex.org/W4297899479","https://openalex.org/W2338763366","https://openalex.org/W2175532135","https://openalex.org/W3003165794","https://openalex.org/W4287899549","https://openalex.org/W2081395119","https://openalex.org/W2038495454","https://openalex.org/W2730118239"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2017-07-14T00:00:00"}