{"id":"https://openalex.org/W3183816071","doi":"https://doi.org/10.1007/s10589-021-00301-7","title":"Exploiting term sparsity in noncommutative polynomial optimization","display_name":"Exploiting term sparsity in noncommutative polynomial optimization","publication_year":2021,"publication_date":"2021-07-27","ids":{"openalex":"https://openalex.org/W3183816071","doi":"https://doi.org/10.1007/s10589-021-00301-7","mag":"3183816071"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-021-00301-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-021-00301-7","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":["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/A5112966341","display_name":"Jie Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I190497903","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210159245","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jie Wang","raw_affiliation_strings":["Laboratoire d\u2019Analyse et d\u2019Architecture des Syst\u00e8mes (LAAS), Toulouse, France","LAAS-MAC - \u00c9quipe M\u00e9thodes et Algorithmes en Commande (France)"],"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Analyse et d\u2019Architecture des Syst\u00e8mes (LAAS), Toulouse, France","institution_ids":["https://openalex.org/I190497903"]},{"raw_affiliation_string":"LAAS-MAC - \u00c9quipe M\u00e9thodes et Algorithmes en Commande (France)","institution_ids":["https://openalex.org/I190497903"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066095974","display_name":"Victor Magron","orcid":"https://orcid.org/0000-0003-1147-3738"},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I190497903","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210159245","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I196454796","display_name":"Institut National des Sciences Appliqu\u00e9es de Toulouse","ror":"https://ror.org/01h8pf755","country_code":"FR","type":"education","lineage":["https://openalex.org/I196454796","https://openalex.org/I4405258862"]},{"id":"https://openalex.org/I84500057","display_name":"Institut de Math\u00e9matiques de Toulouse","ror":"https://ror.org/014vp6c30","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I196454796","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405259414","https://openalex.org/I84500057"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Victor Magron","raw_affiliation_strings":["Laboratoire d\u2019Analyse et d\u2019Architecture des Syst\u00e8mes (LAAS), Toulouse, France","IMT - Institut de Math\u00e9matiques de Toulouse UMR5219 (UPS IMT, F-31062 Toulouse Cedex 9, \r\nINSA Toulouse, F-31077 Toulouse,\r\nFrance UT1, F-31042 Toulouse, \r\nFrance UT2, F-31058 Toulouse,\r\n\r\nT\u00e9l\u00e9phone : 05.61.55.67.90 - France)","LAAS-MAC - \u00c9quipe M\u00e9thodes et Algorithmes en Commande (France)"],"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Analyse et d\u2019Architecture des Syst\u00e8mes (LAAS), Toulouse, France","institution_ids":["https://openalex.org/I190497903"]},{"raw_affiliation_string":"IMT - Institut de Math\u00e9matiques de Toulouse UMR5219 (UPS IMT, F-31062 Toulouse Cedex 9, \r\nINSA Toulouse, F-31077 Toulouse,\r\nFrance UT1, F-31042 Toulouse, \r\nFrance UT2, F-31058 Toulouse,\r\n\r\nT\u00e9l\u00e9phone : 05.61.55.67.90 - France)","institution_ids":["https://openalex.org/I84500057","https://openalex.org/I134560555","https://openalex.org/I196454796"]},{"raw_affiliation_string":"LAAS-MAC - \u00c9quipe M\u00e9thodes et Algorithmes en Commande (France)","institution_ids":["https://openalex.org/I190497903"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5112966341"],"corresponding_institution_ids":["https://openalex.org/I190497903"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":8.1081,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.98635347,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"80","issue":"2","first_page":"483","last_page":"521"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9979000091552734,"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":0.9944000244140625,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/noncommutative-geometry","display_name":"Noncommutative geometry","score":0.7657095193862915},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.7202739119529724},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6672958731651306},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5944147109985352},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.59294193983078},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5209542512893677},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.5044132471084595},{"id":"https://openalex.org/keywords/correlative","display_name":"Correlative","score":0.4974208176136017},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.49657708406448364},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4886522591114044},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4774337708950043},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4429529905319214},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0927935540676117}],"concepts":[{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.7657095193862915},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7202739119529724},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6672958731651306},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5944147109985352},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.59294193983078},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5209542512893677},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.5044132471084595},{"id":"https://openalex.org/C2776800370","wikidata":"https://www.wikidata.org/wiki/Q5172864","display_name":"Correlative","level":2,"score":0.4974208176136017},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.49657708406448364},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4886522591114044},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4774337708950043},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4429529905319214},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0927935540676117},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10589-021-00301-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-021-00301-7","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:HAL:hal-02967839v1","is_oa":false,"landing_page_url":"https://laas.hal.science/hal-02967839","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":"Computational Optimization and Applications, 2021, 80, pp.483-521. ⟨10.1007/s10589-021-00301-7⟩","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:coopap:v:80:y:2021:i:2:d:10.1007_s10589-021-00301-7","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10589-021-00301-7","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":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3047486335","display_name":null,"funder_award_id":"ANR-18-ERC2-0004-01 ANR-19-PI3A-0004","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7534893990","display_name":null,"funder_award_id":"813211","funder_id":"https://openalex.org/F4320338337","funder_display_name":"H2020 Marie Sk\u0142odowska-Curie Actions"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320338337","display_name":"H2020 Marie Sk\u0142odowska-Curie Actions","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W91728630","https://openalex.org/W1524878283","https://openalex.org/W1527351491","https://openalex.org/W1918816242","https://openalex.org/W1967344706","https://openalex.org/W1992008263","https://openalex.org/W1999471332","https://openalex.org/W2000320746","https://openalex.org/W2006704773","https://openalex.org/W2033316317","https://openalex.org/W2034769312","https://openalex.org/W2064609151","https://openalex.org/W2071550336","https://openalex.org/W2080233464","https://openalex.org/W2085729541","https://openalex.org/W2113280143","https://openalex.org/W2116793595","https://openalex.org/W2118400056","https://openalex.org/W2120575449","https://openalex.org/W2150044500","https://openalex.org/W2162178369","https://openalex.org/W2165281529","https://openalex.org/W2166798101","https://openalex.org/W2227234579","https://openalex.org/W2259690454","https://openalex.org/W2476213965","https://openalex.org/W2517560919","https://openalex.org/W2744182242","https://openalex.org/W2750751278","https://openalex.org/W2752158681","https://openalex.org/W2795779869","https://openalex.org/W2959479683","https://openalex.org/W2992793632","https://openalex.org/W3006620462","https://openalex.org/W3023939313","https://openalex.org/W3105558219","https://openalex.org/W3105661328","https://openalex.org/W3119965387","https://openalex.org/W3120760274","https://openalex.org/W3125912346","https://openalex.org/W3129033895","https://openalex.org/W3141641421","https://openalex.org/W3144163274","https://openalex.org/W3186639836","https://openalex.org/W3193079914","https://openalex.org/W4244651418","https://openalex.org/W4255442211","https://openalex.org/W4292070118","https://openalex.org/W6600137863","https://openalex.org/W6601630192","https://openalex.org/W6602913128","https://openalex.org/W6671824235","https://openalex.org/W7047715039"],"related_works":["https://openalex.org/W3111851529","https://openalex.org/W4210820417","https://openalex.org/W1796994019","https://openalex.org/W3121296545","https://openalex.org/W2034563384","https://openalex.org/W4394654181","https://openalex.org/W105375074","https://openalex.org/W2339526560","https://openalex.org/W3048631283","https://openalex.org/W2952841129"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":2}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}