{"id":"https://openalex.org/W2001149695","doi":"https://doi.org/10.1007/s10589-015-9731-y","title":"Unifying semidefinite and set-copositive relaxations of binary problems and randomization techniques","display_name":"Unifying semidefinite and set-copositive relaxations of binary problems and randomization techniques","publication_year":2015,"publication_date":"2015-02-12","ids":{"openalex":"https://openalex.org/W2001149695","doi":"https://doi.org/10.1007/s10589-015-9731-y","mag":"2001149695"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-015-9731-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-015-9731-y","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/A5032927599","display_name":"Felix Lieder","orcid":"https://orcid.org/0000-0002-5276-2010"},"institutions":[{"id":"https://openalex.org/I44260953","display_name":"Heinrich Heine University D\u00fcsseldorf","ror":"https://ror.org/024z2rq82","country_code":"DE","type":"education","lineage":["https://openalex.org/I44260953"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Felix Lieder","raw_affiliation_strings":["Mathematisches Institut, Heinrich-Heine-Universit\u00e4t D\u00fcsseldorf, 40225, D\u00fcsseldorf, Germany","Mathematisches Institut, Heinrich-Heine Universit\u00e4t D\u00fcsseldorf, D\u00fcsseldorf, Germany 40225#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Heinrich-Heine-Universit\u00e4t D\u00fcsseldorf, 40225, D\u00fcsseldorf, Germany","institution_ids":["https://openalex.org/I44260953"]},{"raw_affiliation_string":"Mathematisches Institut, Heinrich-Heine Universit\u00e4t D\u00fcsseldorf, D\u00fcsseldorf, Germany 40225#TAB#","institution_ids":["https://openalex.org/I44260953"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5097032749","display_name":"Fatemeh Bani Asadi Rad","orcid":null},"institutions":[{"id":"https://openalex.org/I44260953","display_name":"Heinrich Heine University D\u00fcsseldorf","ror":"https://ror.org/024z2rq82","country_code":"DE","type":"education","lineage":["https://openalex.org/I44260953"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Fatemeh Bani Asadi Rad","raw_affiliation_strings":["Mathematisches Institut, Heinrich-Heine-Universit\u00e4t D\u00fcsseldorf, 40225, D\u00fcsseldorf, Germany","Mathematisches Institut, Heinrich-Heine Universit\u00e4t D\u00fcsseldorf, D\u00fcsseldorf, Germany 40225#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Heinrich-Heine-Universit\u00e4t D\u00fcsseldorf, 40225, D\u00fcsseldorf, Germany","institution_ids":["https://openalex.org/I44260953"]},{"raw_affiliation_string":"Mathematisches Institut, Heinrich-Heine Universit\u00e4t D\u00fcsseldorf, D\u00fcsseldorf, Germany 40225#TAB#","institution_ids":["https://openalex.org/I44260953"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015422470","display_name":"Florian Jarre","orcid":"https://orcid.org/0000-0003-3458-123X"},"institutions":[{"id":"https://openalex.org/I44260953","display_name":"Heinrich Heine University D\u00fcsseldorf","ror":"https://ror.org/024z2rq82","country_code":"DE","type":"education","lineage":["https://openalex.org/I44260953"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Florian Jarre","raw_affiliation_strings":["Mathematisches Institut, Heinrich-Heine-Universit\u00e4t D\u00fcsseldorf, 40225, D\u00fcsseldorf, Germany","Mathematisches Institut, Heinrich-Heine Universit\u00e4t D\u00fcsseldorf, D\u00fcsseldorf, Germany 40225#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Heinrich-Heine-Universit\u00e4t D\u00fcsseldorf, 40225, D\u00fcsseldorf, Germany","institution_ids":["https://openalex.org/I44260953"]},{"raw_affiliation_string":"Mathematisches Institut, Heinrich-Heine Universit\u00e4t D\u00fcsseldorf, D\u00fcsseldorf, Germany 40225#TAB#","institution_ids":["https://openalex.org/I44260953"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032927599"],"corresponding_institution_ids":["https://openalex.org/I44260953"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.9826,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74347127,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"61","issue":"3","first_page":"669","last_page":"688"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9965000152587891,"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":0.9943000078201294,"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/mathematics","display_name":"Mathematics","score":0.8269940614700317},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.6862751841545105},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.6788221597671509},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6043955087661743},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5921740531921387},{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.5299065113067627},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5237603187561035},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.48755377531051636},{"id":"https://openalex.org/keywords/semidefinite-embedding","display_name":"Semidefinite embedding","score":0.4856606721878052},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.4674801528453827},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.438432514667511},{"id":"https://openalex.org/keywords/maximum-cut","display_name":"Maximum cut","score":0.43217548727989197},{"id":"https://openalex.org/keywords/quadratic-growth","display_name":"Quadratic growth","score":0.4244825839996338},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.42124420404434204},{"id":"https://openalex.org/keywords/independent-set","display_name":"Independent set","score":0.4157661199569702},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3750919997692108},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3483699560165405},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.28102684020996094},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20230481028556824}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8269940614700317},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.6862751841545105},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.6788221597671509},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6043955087661743},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5921740531921387},{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.5299065113067627},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5237603187561035},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.48755377531051636},{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.4856606721878052},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.4674801528453827},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.438432514667511},{"id":"https://openalex.org/C165526019","wikidata":"https://www.wikidata.org/wiki/Q942557","display_name":"Maximum cut","level":3,"score":0.43217548727989197},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.4244825839996338},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.42124420404434204},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.4157661199569702},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3750919997692108},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3483699560165405},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.28102684020996094},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20230481028556824},{"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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10589-015-9731-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-015-9731-y","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:RePEc:spr:coopap:v:61:y:2015:i:3:p:669-688","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-015-9731-y","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1518832340","https://openalex.org/W1552830247","https://openalex.org/W1967073510","https://openalex.org/W1985123706","https://openalex.org/W2021008323","https://openalex.org/W2033498477","https://openalex.org/W2066459185","https://openalex.org/W2069572432","https://openalex.org/W2078289947","https://openalex.org/W2078600458","https://openalex.org/W2089203975","https://openalex.org/W2093546055","https://openalex.org/W2098356798","https://openalex.org/W2099799470","https://openalex.org/W2128202699","https://openalex.org/W2158226611","https://openalex.org/W2171103562","https://openalex.org/W4256141204","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2897697015","https://openalex.org/W2233303476","https://openalex.org/W3021329353","https://openalex.org/W2118059629","https://openalex.org/W1526171273","https://openalex.org/W2013153664","https://openalex.org/W2920857515","https://openalex.org/W3000089047","https://openalex.org/W2001149695","https://openalex.org/W4287552035"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
