{"id":"https://openalex.org/W2571658045","doi":"https://doi.org/10.1007/s10107-019-01398-9","title":"Sum-of-squares hierarchy lower bounds for symmetric formulations","display_name":"Sum-of-squares hierarchy lower bounds for symmetric formulations","publication_year":2019,"publication_date":"2019-05-22","ids":{"openalex":"https://openalex.org/W2571658045","doi":"https://doi.org/10.1007/s10107-019-01398-9","mag":"2571658045"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-019-01398-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-019-01398-9","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","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1407.1746","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Adam Kurpisz","orcid":"https://orcid.org/0000-0001-9500-1863"},"institutions":[{"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"],"is_corresponding":true,"raw_author_name":"Adam Kurpisz","raw_affiliation_strings":["Department of Mathematics, ETH Z\u00fcrich, R\u00e4mistrasse 101, 8092, Z\u00fcrich, Switzerland","Department of Mathematics ETH Zurich  Zurich Switzerland"],"raw_orcid":"https://orcid.org/0000-0001-9500-1863","affiliations":[{"raw_affiliation_string":"Department of Mathematics, ETH Z\u00fcrich, R\u00e4mistrasse 101, 8092, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"Department of Mathematics ETH Zurich  Zurich Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015405497","display_name":"Samuli Lepp\u00e4nen","orcid":"https://orcid.org/0009-0006-0169-6224"},"institutions":[{"id":"https://openalex.org/I2614128279","display_name":"Dalle Molle Institute for Artificial Intelligence Research","ror":"https://ror.org/013355g38","country_code":"CH","type":"facility","lineage":["https://openalex.org/I15196421","https://openalex.org/I2614128279","https://openalex.org/I57201433"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Samuli Lepp\u00e4nen","raw_affiliation_strings":["IDSIA, 6928, Manno, Switzerland","IDSIA, Manno, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IDSIA, 6928, Manno, Switzerland","institution_ids":["https://openalex.org/I2614128279"]},{"raw_affiliation_string":"IDSIA, Manno, Switzerland","institution_ids":["https://openalex.org/I2614128279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053978143","display_name":"Monaldo Mastrolilli","orcid":"https://orcid.org/0000-0002-2948-9749"},"institutions":[{"id":"https://openalex.org/I2614128279","display_name":"Dalle Molle Institute for Artificial Intelligence Research","ror":"https://ror.org/013355g38","country_code":"CH","type":"facility","lineage":["https://openalex.org/I15196421","https://openalex.org/I2614128279","https://openalex.org/I57201433"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Monaldo Mastrolilli","raw_affiliation_strings":["IDSIA, 6928, Manno, Switzerland","IDSIA, Manno, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IDSIA, 6928, Manno, Switzerland","institution_ids":["https://openalex.org/I2614128279"]},{"raw_affiliation_string":"IDSIA, Manno, Switzerland","institution_ids":["https://openalex.org/I2614128279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00431973,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"182","issue":"1-2","first_page":"369","last_page":"397"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9991999864578247,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9901999831199646,"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9765999913215637,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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":0.7775130271911621},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.6873623728752136},{"id":"https://openalex.org/keywords/knapsack-problem","display_name":"Knapsack problem","score":0.6676400899887085},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6418631076812744},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.6027708053588867},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.5405863523483276},{"id":"https://openalex.org/keywords/explained-sum-of-squares","display_name":"Explained sum of squares","score":0.4910023510456085},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.4797462224960327},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.47891509532928467},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4625171422958374},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4589442312717438},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4582812190055847},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.20632392168045044},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09028184413909912}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7775130271911621},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6873623728752136},{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.6676400899887085},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6418631076812744},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.6027708053588867},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.5405863523483276},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.4910023510456085},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.4797462224960327},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.47891509532928467},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4625171422958374},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4589442312717438},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4582812190055847},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.20632392168045044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09028184413909912},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"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/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","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},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10107-019-01398-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-019-01398-9","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:arXiv.org:1407.1746","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1407.1746","pdf_url":"https://arxiv.org/pdf/1407.1746","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":"mag:2950524527","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1407.1746.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1407.1746","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1407.1746","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.24451/dspace/11790","is_oa":true,"landing_page_url":"https://doi.org/10.24451/dspace/11790","pdf_url":null,"source":{"id":"https://openalex.org/S7407051224","display_name":"BFH: ARBOR","issn_l":null,"issn":[],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"mag:2571658045","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/eccc/eccc23.html#KurpiszLM16","pdf_url":null,"source":{"id":"https://openalex.org/S11189987","display_name":"Electronic colloquium on computational complexity","issn_l":"1433-8092","issn":["1433-8092"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Electronic colloquium on computational complexity","raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1407.1746","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1407.1746","pdf_url":"https://arxiv.org/pdf/1407.1746","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"},"sustainable_development_goals":[{"score":0.5400000214576721,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G3242692410","display_name":null,"funder_award_id":"200020-144491/1","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G7349224707","display_name":null,"funder_award_id":"PZ00P2 174117","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W129224317","https://openalex.org/W653291882","https://openalex.org/W1531390321","https://openalex.org/W1537010428","https://openalex.org/W1574334008","https://openalex.org/W1893254807","https://openalex.org/W1967344706","https://openalex.org/W2002025272","https://openalex.org/W2012805418","https://openalex.org/W2022749269","https://openalex.org/W2026189949","https://openalex.org/W2028932986","https://openalex.org/W2031923588","https://openalex.org/W2033515640","https://openalex.org/W2060427246","https://openalex.org/W2064366623","https://openalex.org/W2068848618","https://openalex.org/W2077397558","https://openalex.org/W2096547979","https://openalex.org/W2106264302","https://openalex.org/W2107052785","https://openalex.org/W2110871651","https://openalex.org/W2120358419","https://openalex.org/W2127943911","https://openalex.org/W2146471456","https://openalex.org/W2167508847","https://openalex.org/W2168417806","https://openalex.org/W2171261418","https://openalex.org/W2258079515","https://openalex.org/W2278496192","https://openalex.org/W2951914620","https://openalex.org/W2963033151","https://openalex.org/W2963518689","https://openalex.org/W4244934433"],"related_works":["https://openalex.org/W2945452012","https://openalex.org/W2963033151","https://openalex.org/W2774908308","https://openalex.org/W1845179719","https://openalex.org/W2618217717","https://openalex.org/W2963808027","https://openalex.org/W3034256405","https://openalex.org/W2951872152","https://openalex.org/W2234365784","https://openalex.org/W2031923588","https://openalex.org/W2963814313","https://openalex.org/W2052557161","https://openalex.org/W2950029189","https://openalex.org/W2949083508","https://openalex.org/W1540861457","https://openalex.org/W3101637132","https://openalex.org/W2963261968","https://openalex.org/W2020282424","https://openalex.org/W1541505008","https://openalex.org/W2950631834"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
