{"id":"https://openalex.org/W3105711037","doi":"https://doi.org/10.1007/s10107-021-01745-9","title":"Sum-of-squares hierarchies for binary polynomial optimization","display_name":"Sum-of-squares hierarchies for binary polynomial optimization","publication_year":2022,"publication_date":"2022-01-07","ids":{"openalex":"https://openalex.org/W3105711037","doi":"https://doi.org/10.1007/s10107-021-01745-9","mag":"3105711037"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-021-01745-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-021-01745-9","pdf_url":null,"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":null,"license_id":null,"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":"green","oa_url":"https://research.tilburguniversity.edu/en/publications/338b9ae7-ffde-4b57-a5ba-4cae7e27026f","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085055528","display_name":"Lucas Slot","orcid":"https://orcid.org/0000-0003-3790-492X"},"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/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH","NL"],"is_corresponding":true,"raw_author_name":"Lucas Slot","raw_affiliation_strings":["Centrum Wiskunde & Informatica (CWI), Amsterdam, The Netherlands","D-MATH - Department of Mathematics [ETH Zurich] (Raemistrasse 101, 8092 Zurich - Switzerland)"],"raw_orcid":"https://orcid.org/0000-0003-3790-492X","affiliations":[{"raw_affiliation_string":"Centrum Wiskunde & Informatica (CWI), Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"D-MATH - Department of Mathematics [ETH Zurich] (Raemistrasse 101, 8092 Zurich - Switzerland)","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","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","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":"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":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047819350","https://openalex.org/A5085055528"],"corresponding_institution_ids":["https://openalex.org/I1341640284","https://openalex.org/I193700539","https://openalex.org/I35440088"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":6.4073,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.97942689,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"197","issue":"2","first_page":"621","last_page":"660"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9991000294685364,"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/T12303","display_name":"Tensor decomposition and applications","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.8454813957214355},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7625102400779724},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.730425238609314},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5185028314590454},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.48024681210517883},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4762030839920044},{"id":"https://openalex.org/keywords/explained-sum-of-squares","display_name":"Explained sum of squares","score":0.4294242262840271}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8454813957214355},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7625102400779724},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.730425238609314},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5185028314590454},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.48024681210517883},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4762030839920044},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.4294242262840271},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10107-021-01745-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-021-01745-9","pdf_url":null,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:tilburguniversity.edu:publications/338b9ae7-ffde-4b57-a5ba-4cae7e27026f","is_oa":true,"landing_page_url":"https://research.tilburguniversity.edu/en/publications/338b9ae7-ffde-4b57-a5ba-4cae7e27026f","pdf_url":null,"source":{"id":"https://openalex.org/S4406923027","display_name":"Tilburg University Research Portal","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Slot, L & Laurent, M 2023, 'Sum-of-squares hierarchies for binary polynomial optimization', Mathematical Programming, vol. 197, no. 2, pp. 621-660. https://doi.org/10.1007/s10107-021-01745-9","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:2011.04027","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.04027","pdf_url":"https://arxiv.org/pdf/2011.04027","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:HAL:hal-04088837v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04088837","pdf_url":"https://hal.science/hal-04088837/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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Programming, 2023, 197 (2), pp.621-660. &#x27E8;10.1007/s10107-021-01745-9&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:cwi.nl:31368","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/31368","pdf_url":"https://ir.cwi.nl/pub/31368/31368.pdf","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. 197, pp. 621-660","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:tilburguniversity.edu:openaire/338b9ae7-ffde-4b57-a5ba-4cae7e27026f","is_oa":true,"landing_page_url":"https://repository.tilburguniversity.edu/bitstreams/a8b520d5-eef7-4b2d-b1e8-9e2148250444/download","pdf_url":null,"source":{"id":"https://openalex.org/S4406923027","display_name":"Tilburg University Research Portal","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":"Slot, L & Laurent, M 2023, 'Sum-of-squares hierarchies for binary polynomial optimization', Mathematical Programming, vol. 197, no. 2, pp. 621-660. https://doi.org/10.1007/s10107-021-01745-9","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:tilburguniversity.edu:publications/338b9ae7-ffde-4b57-a5ba-4cae7e27026f","is_oa":true,"landing_page_url":"https://research.tilburguniversity.edu/en/publications/338b9ae7-ffde-4b57-a5ba-4cae7e27026f","pdf_url":null,"source":{"id":"https://openalex.org/S4406923027","display_name":"Tilburg University Research Portal","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Slot, L & Laurent, M 2023, 'Sum-of-squares hierarchies for binary polynomial optimization', Mathematical Programming, vol. 197, no. 2, pp. 621-660. https://doi.org/10.1007/s10107-021-01745-9","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1041234596","display_name":"Mixed-Integer Non-Linear Optimisation Applications","funder_award_id":"764759","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G6446765011","display_name":"Mixed-Integer Non-Linear Optimisation Applications","funder_award_id":"764759","funder_id":"https://openalex.org/F4320338337","funder_display_name":"H2020 Marie Sk\u0142odowska-Curie Actions"},{"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"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320338337","display_name":"H2020 Marie Sk\u0142odowska-Curie Actions","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W376676247","https://openalex.org/W641613623","https://openalex.org/W1559197676","https://openalex.org/W1607580485","https://openalex.org/W1782308010","https://openalex.org/W1868897294","https://openalex.org/W1967344706","https://openalex.org/W1970193303","https://openalex.org/W1985123706","https://openalex.org/W1990811538","https://openalex.org/W1992244412","https://openalex.org/W2026578200","https://openalex.org/W2031923588","https://openalex.org/W2049143039","https://openalex.org/W2072273382","https://openalex.org/W2077397558","https://openalex.org/W2083449425","https://openalex.org/W2106264302","https://openalex.org/W2133404041","https://openalex.org/W2133602590","https://openalex.org/W2137508197","https://openalex.org/W2146777332","https://openalex.org/W2148012376","https://openalex.org/W2165281529","https://openalex.org/W2167681887","https://openalex.org/W2168417806","https://openalex.org/W2325692311","https://openalex.org/W2351811947","https://openalex.org/W2596306356","https://openalex.org/W2603258381","https://openalex.org/W2914959486","https://openalex.org/W2944874335","https://openalex.org/W2950353857","https://openalex.org/W2964069080","https://openalex.org/W2968911711","https://openalex.org/W2969292053","https://openalex.org/W2972919843","https://openalex.org/W2997618127","https://openalex.org/W3038798607","https://openalex.org/W3095790623","https://openalex.org/W3099419577","https://openalex.org/W3101637132","https://openalex.org/W3107663262","https://openalex.org/W4298425892","https://openalex.org/W6700049840"],"related_works":["https://openalex.org/W2916710807","https://openalex.org/W4286907761","https://openalex.org/W2413588304","https://openalex.org/W3205447645","https://openalex.org/W2009411567","https://openalex.org/W2371629703","https://openalex.org/W2289860960","https://openalex.org/W2762413806","https://openalex.org/W2230915131","https://openalex.org/W3093984754"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}
