{"id":"https://openalex.org/W4285799148","doi":"https://doi.org/10.1007/s10589-022-00394-8","title":"Inertial alternating direction method of multipliers for non-convex non-smooth optimization","display_name":"Inertial alternating direction method of multipliers for non-convex non-smooth optimization","publication_year":2022,"publication_date":"2022-07-19","ids":{"openalex":"https://openalex.org/W4285799148","doi":"https://doi.org/10.1007/s10589-022-00394-8"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-022-00394-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-022-00394-8","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2102.05433","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043926494","display_name":"Le Thi Khanh Hien","orcid":"https://orcid.org/0000-0003-2532-4637"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Le Thi Khanh Hien","raw_affiliation_strings":["Huawei Belgium Research Center, 3001, Leuven, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Huawei Belgium Research Center, 3001, Leuven, Belgium","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070651477","display_name":"Duy Nhat Phan","orcid":"https://orcid.org/0000-0002-7406-8206"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Duy Nhat Phan","raw_affiliation_strings":["Dynamic Decision Making Laboratory, Carnegie Mellon University, Pittsburgh, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dynamic Decision Making Laboratory, Carnegie Mellon University, Pittsburgh, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040368041","display_name":"Nicolas Gillis","orcid":"https://orcid.org/0000-0001-6423-6897"},"institutions":[{"id":"https://openalex.org/I130929987","display_name":"University of Mons","ror":"https://ror.org/02qnnz951","country_code":"BE","type":"education","lineage":["https://openalex.org/I130929987"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Nicolas Gillis","raw_affiliation_strings":["Department of Mathematics and Operational Research, Facult\u00e9 Polytechnique, Universit\u00e9 de Mons, Rue de Houdain 9, 7000, Mons, Belgium"],"raw_orcid":"https://orcid.org/0000-0001-6423-6897","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Operational Research, Facult\u00e9 Polytechnique, Universit\u00e9 de Mons, Rue de Houdain 9, 7000, Mons, Belgium","institution_ids":["https://openalex.org/I130929987"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040368041"],"corresponding_institution_ids":["https://openalex.org/I130929987"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.6724,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.90490189,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"83","issue":"1","first_page":"247","last_page":"285"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":1.0,"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":1.0,"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/iterated-function","display_name":"Iterated function","score":0.7011218667030334},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6451895236968994},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6333708763122559},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6241317987442017},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5967737436294556},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.580754280090332},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5454308986663818},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4783698618412018},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4672866463661194},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4658447504043579},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4492104649543762},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4443283677101135},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4392293393611908},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43236109614372253},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4263269603252411},{"id":"https://openalex.org/keywords/majorization","display_name":"Majorization","score":0.4205598533153534},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.41475534439086914},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3103150427341461},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.091806560754776},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07726114988327026},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.06831824779510498},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0652778148651123}],"concepts":[{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.7011218667030334},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6451895236968994},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6333708763122559},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6241317987442017},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5967737436294556},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.580754280090332},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5454308986663818},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4783698618412018},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4672866463661194},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4658447504043579},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4492104649543762},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4443283677101135},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4392293393611908},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43236109614372253},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4263269603252411},{"id":"https://openalex.org/C2777818330","wikidata":"https://www.wikidata.org/wiki/Q1994695","display_name":"Majorization","level":2,"score":0.4205598533153534},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.41475534439086914},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3103150427341461},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.091806560754776},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07726114988327026},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.06831824779510498},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0652778148651123},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10589-022-00394-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-022-00394-8","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2102.05433","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2102.05433","pdf_url":"https://arxiv.org/pdf/2102.05433","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},{"id":"pmh:oai:orbi.umons.ac.be:20.500.12907/43205","is_oa":true,"landing_page_url":"https://orbi.umons.ac.be/handle/20.500.12907/43205","pdf_url":"https://orbi.umons.ac.be/bitstream/20.500.12907/43205/1/71%20Inertial%20Alternating%20Direction%20Method%20of%20Multipliers%20for%20Non-Convex%20Non-Smooth%20Optimization.pdf","source":{"id":"https://openalex.org/S7407055454","display_name":"ORBi UMONS","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Computational Optimization and Applications, 83, 247-285 (2022-07-19)","raw_type":"http://purl.org/coar/resource_type/c_6501"},{"id":"pmh:oai:RePEc:spr:coopap:v:83:y:2022:i:1:d:10.1007_s10589-022-00394-8","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-022-00394-8","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2102.05433","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2102.05433","pdf_url":"https://arxiv.org/pdf/2102.05433","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G2730083227","display_name":null,"funder_award_id":"679515","funder_id":"https://openalex.org/F4320338352","funder_display_name":"FP7 Ideas: European Research Council"},{"id":"https://openalex.org/G5612754576","display_name":null,"funder_award_id":"O005318F-RG47","funder_id":"https://openalex.org/F4320321390","funder_display_name":"Fonds De La Recherche Scientifique - FNRS"}],"funders":[{"id":"https://openalex.org/F4320321390","display_name":"Fonds De La Recherche Scientifique - FNRS","ror":"https://ror.org/03q83t159"},{"id":"https://openalex.org/F4320338352","display_name":"FP7 Ideas: European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W585015008","https://openalex.org/W1540764732","https://openalex.org/W1860736741","https://openalex.org/W1902027874","https://openalex.org/W1967138577","https://openalex.org/W1968154520","https://openalex.org/W1972552174","https://openalex.org/W1979072167","https://openalex.org/W1979089199","https://openalex.org/W1996287810","https://openalex.org/W1997201895","https://openalex.org/W2022393739","https://openalex.org/W2023901033","https://openalex.org/W2027982384","https://openalex.org/W2039050532","https://openalex.org/W2042948547","https://openalex.org/W2043275203","https://openalex.org/W2045079045","https://openalex.org/W2050968963","https://openalex.org/W2054141820","https://openalex.org/W2056145308","https://openalex.org/W2078853581","https://openalex.org/W2082639035","https://openalex.org/W2086953401","https://openalex.org/W2114503967","https://openalex.org/W2118550318","https://openalex.org/W2121947440","https://openalex.org/W2124541940","https://openalex.org/W2129732816","https://openalex.org/W2132914434","https://openalex.org/W2145152441","https://openalex.org/W2145962650","https://openalex.org/W2163232332","https://openalex.org/W2259139337","https://openalex.org/W2500090022","https://openalex.org/W2508393166","https://openalex.org/W2549127690","https://openalex.org/W2725989512","https://openalex.org/W2777528688","https://openalex.org/W2805127664","https://openalex.org/W2943262196","https://openalex.org/W2954143091","https://openalex.org/W2962853966","https://openalex.org/W2963648037","https://openalex.org/W2963664109","https://openalex.org/W2964011556","https://openalex.org/W2994645496","https://openalex.org/W3011526999","https://openalex.org/W3034770799","https://openalex.org/W3102107953","https://openalex.org/W3102415113","https://openalex.org/W3105393233","https://openalex.org/W4205213118","https://openalex.org/W4206519735","https://openalex.org/W4244393449","https://openalex.org/W4249512175","https://openalex.org/W4249513058","https://openalex.org/W4292363360","https://openalex.org/W4299599836","https://openalex.org/W6631688033"],"related_works":["https://openalex.org/W2393350255","https://openalex.org/W257189624","https://openalex.org/W2356369451","https://openalex.org/W4297903463","https://openalex.org/W2946322567","https://openalex.org/W4286749488","https://openalex.org/W2991397262","https://openalex.org/W4382181089","https://openalex.org/W4322620783","https://openalex.org/W2187449906"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2022-07-19T00:00:00"}