{"id":"https://openalex.org/W4387602064","doi":"https://doi.org/10.1137/21m1465913","title":"Dualities for Non-Euclidean Smoothness and Strong Convexity under the Light of Generalized Conjugacy","display_name":"Dualities for Non-Euclidean Smoothness and Strong Convexity under the Light of Generalized Conjugacy","publication_year":2023,"publication_date":"2023-10-13","ids":{"openalex":"https://openalex.org/W4387602064","doi":"https://doi.org/10.1137/21m1465913"},"language":"en","primary_location":{"id":"doi:10.1137/21m1465913","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1465913","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://lirias.kuleuven.be/retrieve/ba6c3889-0cd8-46ca-ada6-cf893906a5da","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006959568","display_name":"Emanuel Laude","orcid":null},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Emanuel Laude","raw_affiliation_strings":["Department of Electrical Engineering (ESAT-STADIUS), KU Leuven, Kasteelpark Arenberg 10, 3001 Leuven, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-9106-2690","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering (ESAT-STADIUS), KU Leuven, Kasteelpark Arenberg 10, 3001 Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010064441","display_name":"Andreas Themelis","orcid":"https://orcid.org/0000-0002-6044-0169"},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Andreas Themelis","raw_affiliation_strings":["Faculty of Information Science and Electrical Engineering (ISEE), Kyushu University, 744 Motooka, Nishi-ku, 819-0395 Fukuoka, Japan"],"raw_orcid":"https://orcid.org/0000-0002-6044-0169","affiliations":[{"raw_affiliation_string":"Faculty of Information Science and Electrical Engineering (ISEE), Kyushu University, 744 Motooka, Nishi-ku, 819-0395 Fukuoka, Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031380765","display_name":"Panagiotis Patrinos","orcid":"https://orcid.org/0000-0003-4824-7697"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Panagiotis Patrinos","raw_affiliation_strings":["Department of Electrical Engineering (ESAT-STADIUS), KU Leuven, Kasteelpark Arenberg 10, 3001 Leuven, Belgium"],"raw_orcid":"https://orcid.org/0000-0003-4824-7697","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering (ESAT-STADIUS), KU Leuven, Kasteelpark Arenberg 10, 3001 Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006959568"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":null,"apc_paid":null,"fwci":0.3794,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65646769,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"33","issue":"4","first_page":"2721","last_page":"2749"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9973999857902527,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9973999857902527,"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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9954000115394592,"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/T12672","display_name":"Phagocytosis and Immune Regulation","score":0.9672999978065491,"subfield":{"id":"https://openalex.org/subfields/2403","display_name":"Immunology"},"field":{"id":"https://openalex.org/fields/24","display_name":"Immunology and Microbiology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.9209684133529663},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.8858143091201782},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7999687194824219},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.7522367835044861},{"id":"https://openalex.org/keywords/conjugacy-class","display_name":"Conjugacy class","score":0.6585472822189331},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.5860370397567749},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.417649507522583},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.4170609414577484},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37334734201431274},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2536512017250061},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08139503002166748}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.9209684133529663},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.8858143091201782},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7999687194824219},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.7522367835044861},{"id":"https://openalex.org/C87945829","wikidata":"https://www.wikidata.org/wiki/Q1353233","display_name":"Conjugacy class","level":2,"score":0.6585472822189331},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.5860370397567749},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.417649507522583},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.4170609414577484},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37334734201431274},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2536512017250061},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08139503002166748},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/21m1465913","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1465913","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","raw_type":"journal-article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:20.500.12942/729613","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/729613","pdf_url":"https://lirias.kuleuven.be/retrieve/ba6c3889-0cd8-46ca-ada6-cf893906a5da","source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"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":"Siam Journal On Optimization, vol. 33 (4), (2721-2749)","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:lirias2repo.kuleuven.be:20.500.12942/729613","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/729613","pdf_url":"https://lirias.kuleuven.be/retrieve/ba6c3889-0cd8-46ca-ada6-cf893906a5da","source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"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":"Siam Journal On Optimization, vol. 33 (4), (2721-2749)","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.7099999785423279}],"awards":[{"id":"https://openalex.org/G2834563790","display_name":null,"funder_award_id":"G086518N","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G3167791836","display_name":null,"funder_award_id":"G0F6718N","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G3408909379","display_name":null,"funder_award_id":"JP21K17710","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G3837386820","display_name":"Embedded learning and optimization for the next generation of smart industrial control systems","funder_award_id":"953348","funder_id":"https://openalex.org/F4320338337","funder_display_name":"H2020 Marie Sk\u0142odowska-Curie Actions"},{"id":"https://openalex.org/G4483643987","display_name":null,"funder_award_id":"G0A0920N","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G4829754272","display_name":null,"funder_award_id":"C14/18/068","funder_id":"https://openalex.org/F4320322308","funder_display_name":"KU Leuven"},{"id":"https://openalex.org/G5396608195","display_name":null,"funder_award_id":"G081222N","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G623480064","display_name":null,"funder_award_id":"G086318N","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G8150902472","display_name":null,"funder_award_id":"953348","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8240281412","display_name":null,"funder_award_id":"G033822N","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G8258744815","display_name":null,"funder_award_id":"KUL0075","funder_id":"https://openalex.org/F4320322308","funder_display_name":"KU Leuven"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321390","display_name":"Fonds De La Recherche Scientifique - FNRS","ror":"https://ror.org/03q83t159"},{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320322308","display_name":"KU Leuven","ror":"https://ror.org/05f950310"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320338337","display_name":"H2020 Marie Sk\u0142odowska-Curie Actions","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387602064.pdf"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W385466589","https://openalex.org/W1262301128","https://openalex.org/W1585160083","https://openalex.org/W1606423959","https://openalex.org/W2013268819","https://openalex.org/W2017680740","https://openalex.org/W2027013172","https://openalex.org/W2033468335","https://openalex.org/W2044811379","https://openalex.org/W2078762555","https://openalex.org/W2082101450","https://openalex.org/W2137342185","https://openalex.org/W2168287380","https://openalex.org/W2535496140","https://openalex.org/W2551153860","https://openalex.org/W2593504412","https://openalex.org/W2615804618","https://openalex.org/W2777295394","https://openalex.org/W2926523766","https://openalex.org/W2963967579","https://openalex.org/W2989762492","https://openalex.org/W3003500322","https://openalex.org/W3021534257","https://openalex.org/W3103966038","https://openalex.org/W3151987817","https://openalex.org/W3156884384","https://openalex.org/W3178113344","https://openalex.org/W3195078226","https://openalex.org/W3215317737","https://openalex.org/W4229650096","https://openalex.org/W4245185607","https://openalex.org/W4249513058","https://openalex.org/W4249667877","https://openalex.org/W4295845604"],"related_works":["https://openalex.org/W2349952486","https://openalex.org/W2940405130","https://openalex.org/W2363211409","https://openalex.org/W2376481828","https://openalex.org/W2390990501","https://openalex.org/W2035309570","https://openalex.org/W2002792507","https://openalex.org/W2348787543","https://openalex.org/W4226280031","https://openalex.org/W2369773818"],"abstract_inverted_index":{"sponsorship:":[0],"The":[1,34,44],"work":[2],"of":[3,56,72],"the":[4,19,40,50,54,70],"first":[5,35],"and":[6,16,18,25],"third":[7],"authors":[8],"was":[9],"supported":[10,38,48],"by":[11,39,49],"FWO":[12],"projects":[13],"G081222N,":[14],"G033822N,":[15],"G0A0920N":[17],"European":[20,65],"Union's":[21],"Horizon":[22],"2020":[23],"research":[24],"innovation":[26],"program":[27],"under":[28],"Marie":[29],"Sklodowska-Curie":[30],"grant":[31,60],"agreement":[32],"953348.":[33],"author":[36,46],"is":[37,47],"postdoctoral":[41],"mandate":[42],"PDMt1/22/023.":[43],"second":[45],"Japan":[51,67],"Society":[52,68],"for":[53,69,78],"Promotion":[55,71],"Science":[57,73],"(JSPS)":[58,74],"KAKENHI":[59],"JP21K17710.":[61],"(FWO|G081222N,":[62],"FWO|G033822N,":[63],"FWO|G0A0920N,":[64],"Union|953348,":[66],"KAKENHI|JP21K17710,":[75],"PDMt1/22/023,":[76],"Grants-in-Aid":[77],"Scientific":[79],"Research|21K17710)":[80]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-23T08:51:43.019350","created_date":"2025-10-10T00:00:00"}
