{"id":"https://openalex.org/W4296568275","doi":"https://doi.org/10.1007/s10107-023-01993-x","title":"Exploiting ideal-sparsity in the generalized moment problem with application to matrix factorization ranks","display_name":"Exploiting ideal-sparsity in the generalized moment problem with application to matrix factorization ranks","publication_year":2023,"publication_date":"2023-07-08","ids":{"openalex":"https://openalex.org/W4296568275","doi":"https://doi.org/10.1007/s10107-023-01993-x"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-023-01993-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-023-01993-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-023-01993-x.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10107-023-01993-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024399660","display_name":"Milan Korda","orcid":"https://orcid.org/0000-0002-5755-8326"},"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/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/I193033237","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210152422","https://openalex.org/I4210159245","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210098964","display_name":"Toulouse Mathematics Institute","ror":null,"country_code":"FR","type":null,"lineage":["https://openalex.org/I4210098964"]},{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ","FR"],"is_corresponding":false,"raw_author_name":"Milan Korda","raw_affiliation_strings":["Faculty of Electrical Engineering, Czech Technical University in Prague, Prague, Czech Republic","LAAS-CNRS and Institute of Mathematics, Toulouse, France","LAAS-POP - Equipe Polynomial OPtimization (France)","CTU - Czech Technical University in Prague (\u010cesk\u00e9 vysok\u00e9 u\u010den\u00ed technick\u00e9 v Praze Zikova 1903/4 166 36 Praha 6 \u010cesk\u00e1 republika - Czech Republic)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering, Czech Technical University in Prague, Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"LAAS-CNRS and Institute of Mathematics, Toulouse, France","institution_ids":["https://openalex.org/I4210098964","https://openalex.org/I1294671590","https://openalex.org/I190497903"]},{"raw_affiliation_string":"LAAS-POP - Equipe Polynomial OPtimization (France)","institution_ids":["https://openalex.org/I190497903"]},{"raw_affiliation_string":"CTU - Czech Technical University in Prague (\u010cesk\u00e9 vysok\u00e9 u\u010den\u00ed technick\u00e9 v Praze Zikova 1903/4 166 36 Praha 6 \u010cesk\u00e1 republika - Czech Republic)","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047819350","display_name":"Monique Laurent","orcid":"https://orcid.org/0000-0001-8474-2121"},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]},{"id":"https://openalex.org/I193700539","display_name":"Tilburg University","ror":"https://ror.org/04b8v1s79","country_code":"NL","type":"education","lineage":["https://openalex.org/I193700539"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Monique Laurent","raw_affiliation_strings":["Centrum Wiskunde & Informatica (CWI), Amsterdam, The Netherlands","Tilburg University, Tilburg, The Netherlands","Tilburg University [Netherlands] (Warandelaan 2, 5037 AB Tilburg, Netherlands - Netherlands)","CWI - Centrum voor Wiskunde en Informatica (Kruislaan 413 P.O. Box 94079 1090 GB Amsterdam - Netherlands)"],"raw_orcid":"https://orcid.org/0000-0001-8474-2121","affiliations":[{"raw_affiliation_string":"Centrum Wiskunde & Informatica (CWI), Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"Tilburg University, Tilburg, The Netherlands","institution_ids":["https://openalex.org/I193700539"]},{"raw_affiliation_string":"Tilburg University [Netherlands] (Warandelaan 2, 5037 AB Tilburg, Netherlands - Netherlands)","institution_ids":["https://openalex.org/I193700539"]},{"raw_affiliation_string":"CWI - Centrum voor Wiskunde en Informatica (Kruislaan 413 P.O. Box 94079 1090 GB Amsterdam - Netherlands)","institution_ids":["https://openalex.org/I1341640284"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066095974","display_name":"Victor Magron","orcid":"https://orcid.org/0000-0003-1147-3738"},"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/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/I193033237","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210152422","https://openalex.org/I4210159245","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"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"]},{"id":"https://openalex.org/I4210098964","display_name":"Toulouse Mathematics Institute","ror":null,"country_code":"FR","type":null,"lineage":["https://openalex.org/I4210098964"]},{"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/I4210092408","https://openalex.org/I4210126056","https://openalex.org/I4210141950","https://openalex.org/I4210152422","https://openalex.org/I4405258862","https://openalex.org/I84500057"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Victor Magron","raw_affiliation_strings":["LAAS-CNRS and Institute of Mathematics, 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-POP - Equipe Polynomial OPtimization (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAAS-CNRS and Institute of Mathematics, Toulouse, France","institution_ids":["https://openalex.org/I4210098964","https://openalex.org/I1294671590","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-POP - Equipe Polynomial OPtimization (France)","institution_ids":["https://openalex.org/I190497903"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029014483","display_name":"Andries Steenkamp","orcid":null},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Andries Steenkamp","raw_affiliation_strings":["Centrum Wiskunde & Informatica (CWI), Amsterdam, The Netherlands","CWI - Centrum voor Wiskunde en Informatica (Kruislaan 413 P.O. Box 94079 1090 GB Amsterdam - Netherlands)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centrum Wiskunde & Informatica (CWI), Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"CWI - Centrum voor Wiskunde en Informatica (Kruislaan 413 P.O. Box 94079 1090 GB Amsterdam - Netherlands)","institution_ids":["https://openalex.org/I1341640284"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5047819350"],"corresponding_institution_ids":["https://openalex.org/I1341640284","https://openalex.org/I193700539"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2890},"fwci":2.6573,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87306347,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"205","issue":"1-2","first_page":"703","last_page":"744"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9990000128746033,"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":0.9990000128746033,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9969000220298767,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9743000268936157,"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/mathematics","display_name":"Mathematics","score":0.8234786987304688},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5536857843399048},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.547543466091156},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.45591744780540466},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.45393240451812744},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44541221857070923},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.4369221031665802},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.4243369698524475},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4083673059940338},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3943471908569336},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2925102412700653},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12603941559791565}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8234786987304688},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5536857843399048},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.547543466091156},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.45591744780540466},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.45393240451812744},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44541221857070923},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.4369221031665802},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.4243369698524475},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4083673059940338},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3943471908569336},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2925102412700653},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12603941559791565},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10107-023-01993-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-023-01993-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-023-01993-x.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:tilburguniversity.edu:openaire/944b4c68-d440-40df-892c-454b9674b324","is_oa":true,"landing_page_url":"https://research.tilburguniversity.edu/en/publications/944b4c68-d440-40df-892c-454b9674b324","pdf_url":null,"source":{"id":"https://openalex.org/S4306401490","display_name":"Research portal (Tilburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193700539","host_organization_name":"Tilburg University","host_organization_lineage":["https://openalex.org/I193700539"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Korda, M, Laurent, M, Magron, V & Steenkamp, A 2024, 'Exploiting ideal-sparsity in the generalized moment problem\u00a0with application to matrix factorization ranks', Mathematical Programming, vol. 205, no. 1-2, pp. 703-744. https://doi.org/10.1007/s10107-023-01993-x","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:2209.09573","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2209.09573","pdf_url":"https://arxiv.org/pdf/2209.09573","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:tilburguniversity.edu:openaire_cris_publications/944b4c68-d440-40df-892c-454b9674b324","is_oa":true,"landing_page_url":"https://www.scopus.com/pages/publications/85164161074","pdf_url":"https://arxiv.org/pdf/2209.09573.pdf","source":{"id":"https://openalex.org/S4306401490","display_name":"Research portal (Tilburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193700539","host_organization_name":"Tilburg University","host_organization_lineage":["https://openalex.org/I193700539"],"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":"Korda, M, Laurent, M, Magron, V & Steenkamp, A 2024, 'Exploiting ideal-sparsity in the generalized moment problem\u00a0with application to matrix factorization ranks', Mathematical Programming, vol. 205, no. 1-2, pp. 703-744. https://doi.org/10.1007/s10107-023-01993-x","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:HAL:hal-03782934v1","is_oa":true,"landing_page_url":"https://laas.hal.science/hal-03782934","pdf_url":"https://laas.hal.science/hal-03782934/document","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://link.springer.com/article/10.1007/s10107-023-01993-x","raw_type":"Journal articles"},{"id":"pmh:oai:cwi.nl:33245","is_oa":false,"landing_page_url":"https://ir.cwi.nl/pub/33245","pdf_url":null,"source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Programming vol. 205, pp. 205:703-205:744","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s10107-023-01993-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10107-023-01993-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10107-023-01993-x.pdf","source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3778207229","display_name":null,"funder_award_id":"PI3A-0004","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3879958799","display_name":null,"funder_award_id":"19-PI3A-0004","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G602161992","display_name":null,"funder_award_id":"ANR-19-PI3A-0004","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7001502250","display_name":"Polynomial Optimization, Efficiency through Moments and Algebra","funder_award_id":"813211","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7338534804","display_name":null,"funder_award_id":"813211","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7534893990","display_name":"Polynomial Optimization, Efficiency through Moments and Algebra","funder_award_id":"813211","funder_id":"https://openalex.org/F4320338337","funder_display_name":"H2020 Marie Sk\u0142odowska-Curie Actions"},{"id":"https://openalex.org/G7554810891","display_name":null,"funder_award_id":"20-11626Y","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G7955706205","display_name":null,"funder_award_id":"Horizon 2020","funder_id":"https://openalex.org/F4320338337","funder_display_name":"H2020 Marie Sk\u0142odowska-Curie Actions"},{"id":"https://openalex.org/G8318455765","display_name":null,"funder_award_id":"ANR-19","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320338337","display_name":"H2020 Marie Sk\u0142odowska-Curie Actions","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4296568275.pdf"},"referenced_works_count":65,"referenced_works":["https://openalex.org/W160310963","https://openalex.org/W404764422","https://openalex.org/W1559197676","https://openalex.org/W1596877211","https://openalex.org/W1603610938","https://openalex.org/W1622063347","https://openalex.org/W1639981145","https://openalex.org/W1701625512","https://openalex.org/W1918816242","https://openalex.org/W1967344706","https://openalex.org/W1978496689","https://openalex.org/W1991320936","https://openalex.org/W2000151369","https://openalex.org/W2001392214","https://openalex.org/W2011039300","https://openalex.org/W2011603435","https://openalex.org/W2016403269","https://openalex.org/W2023336262","https://openalex.org/W2034615921","https://openalex.org/W2034769312","https://openalex.org/W2036713379","https://openalex.org/W2040500267","https://openalex.org/W2061186416","https://openalex.org/W2066019014","https://openalex.org/W2071550336","https://openalex.org/W2081494214","https://openalex.org/W2085550081","https://openalex.org/W2085729541","https://openalex.org/W2111617833","https://openalex.org/W2116007667","https://openalex.org/W2116793595","https://openalex.org/W2120575449","https://openalex.org/W2124172487","https://openalex.org/W2126138717","https://openalex.org/W2126210866","https://openalex.org/W2143920029","https://openalex.org/W2150285483","https://openalex.org/W2165281529","https://openalex.org/W2166798101","https://openalex.org/W2239251014","https://openalex.org/W2321467776","https://openalex.org/W2498144272","https://openalex.org/W2744182242","https://openalex.org/W2787555265","https://openalex.org/W2795779869","https://openalex.org/W2886036951","https://openalex.org/W2963917343","https://openalex.org/W2963948022","https://openalex.org/W2964049675","https://openalex.org/W2972919843","https://openalex.org/W2974718441","https://openalex.org/W3004605460","https://openalex.org/W3015959116","https://openalex.org/W3023939313","https://openalex.org/W3044411208","https://openalex.org/W3100244292","https://openalex.org/W3105558219","https://openalex.org/W3112413974","https://openalex.org/W3119965387","https://openalex.org/W3120760274","https://openalex.org/W3129028151","https://openalex.org/W3201927314","https://openalex.org/W3205478315","https://openalex.org/W4225149655","https://openalex.org/W4245608944"],"related_works":["https://openalex.org/W2590472383","https://openalex.org/W2794559785","https://openalex.org/W3166204570","https://openalex.org/W3121246613","https://openalex.org/W2383873009","https://openalex.org/W2132137594","https://openalex.org/W2393580911","https://openalex.org/W2798482732","https://openalex.org/W2950281908","https://openalex.org/W156623692"],"abstract_inverted_index":{"Abstract":[0],"We":[1,42,84,119],"explore":[2,85],"a":[3,25],"new":[4],"type":[5],"of":[6,34,52,75,89,97,110],"sparsity":[7,175],"for":[8,92,188],"the":[9,32,53,56,72,76,80,86,93,108,122,140,149,160,163,169,177,194],"generalized":[10],"moment":[11],"problem":[12,109],"(GMP)":[13],"that":[14,44,121,127,193],"we":[15],"call":[16],"ideal-sparsity":[17],".":[18],"In":[19],"this":[20,45,100],"setting,":[21],"one":[22],"optimizes":[23],"over":[24],"measure":[26,60,68],"restricted":[27],"to":[28,79,107,148,180,203],"be":[29,181],"supported":[30,70],"on":[31,71],"variety":[33],"an":[35,48],"ideal":[36],"generated":[37],"by":[38,64],"quadratic":[39,81],"bilinear":[40,82],"monomials.":[41],"show":[43,120,192],"restriction":[46],"enables":[47],"equivalent":[49,102],"sparse":[50],"reformulation":[51],"GMP,":[54],"where":[55,162],"single":[57],"(high":[58],"dimensional)":[59,67],"variable":[61],"is":[62,144,156,186],"replaced":[63],"several":[65],"(lower":[66],"variables":[69],"maximal":[73],"cliques":[74],"graph":[77,179],"corresponding":[78],"constraints.":[83],"resulting":[87,164],"hierarchies":[88,124],"moment-based":[90],"relaxations":[91],"original":[94],"dense":[95,141,170,207],"formulation":[96],"GMP":[98],"and":[99,113,200],"new,":[101],"ideal-sparse":[103,123,195],"reformulation,":[104],"when":[105,151],"applied":[106],"bounding":[111],"nonnegative-":[112],"completely":[114],"positive":[115],"matrix":[116],"factorization":[117],"ranks.":[118],"provide":[125],"bounds":[126,165,196],"are":[128,166,197],"at":[129],"least":[130],"as":[131,136,155],"good":[132],"(and":[133],"often":[134,198],"tighter)":[135],"those":[137],"obtained":[138],"from":[139],"hierarchy.":[142],"This":[143],"in":[145,159],"sharp":[146],"contrast":[147],"situation":[150],"exploiting":[152],"correlative":[153,174],"sparsity,":[154],"most":[157],"common":[158],"literature,":[161],"weaker":[167],"than":[168,205],"bounds.":[171],"Moreover,":[172],"while":[173],"requires":[176],"underlying":[178],"chordal,":[182],"no":[183],"such":[184],"assumption":[185],"needed":[187],"ideal-sparsity.":[189],"Numerical":[190],"results":[191],"tighter":[199],"much":[201],"faster":[202],"compute":[204],"their":[206],"analogs.":[208]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}
