{"id":"https://openalex.org/W4206420102","doi":"https://doi.org/10.1137/20m1359584","title":"Superlinear Integrality Gaps for the Minimum Majority Problem","display_name":"Superlinear Integrality Gaps for the Minimum Majority Problem","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W4206420102","doi":"https://doi.org/10.1137/20m1359584"},"language":"en","primary_location":{"id":"doi:10.1137/20m1359584","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1359584","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5084487318","display_name":"Philip M. Long","orcid":"https://orcid.org/0000-0002-1010-6197"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Philip M. Long","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5084487318"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23816838,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"4","first_page":"3004","last_page":"3016"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994999766349792,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994999766349792,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/rounding","display_name":"Rounding","score":0.8451785445213318},{"id":"https://openalex.org/keywords/lift","display_name":"Lift (data mining)","score":0.7501581311225891},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6492642164230347},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5663993954658508},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.5199548006057739},{"id":"https://openalex.org/keywords/randomized-rounding","display_name":"Randomized rounding","score":0.4663621187210083},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.44658616185188293},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36277586221694946},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3421541452407837},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.32849812507629395},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.16884839534759521},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1562161147594452}],"concepts":[{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.8451785445213318},{"id":"https://openalex.org/C139002025","wikidata":"https://www.wikidata.org/wiki/Q3001212","display_name":"Lift (data mining)","level":2,"score":0.7501581311225891},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6492642164230347},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5663993954658508},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.5199548006057739},{"id":"https://openalex.org/C32029473","wikidata":"https://www.wikidata.org/wiki/Q7292010","display_name":"Randomized rounding","level":3,"score":0.4663621187210083},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.44658616185188293},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36277586221694946},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3421541452407837},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32849812507629395},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.16884839534759521},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1562161147594452},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1359584","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1359584","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1587123489","https://openalex.org/W1975846642","https://openalex.org/W1988790447","https://openalex.org/W2005306124","https://openalex.org/W2007239493","https://openalex.org/W2007457286","https://openalex.org/W2019062750","https://openalex.org/W2023546589","https://openalex.org/W2049143039","https://openalex.org/W2075779886","https://openalex.org/W2077397558","https://openalex.org/W2080210666","https://openalex.org/W2106264302","https://openalex.org/W2163322487","https://openalex.org/W2167508847","https://openalex.org/W2179261203","https://openalex.org/W2294370754","https://openalex.org/W2612425202","https://openalex.org/W2619061098","https://openalex.org/W2911187972","https://openalex.org/W4205196152","https://openalex.org/W4244952642"],"related_works":["https://openalex.org/W1581948717","https://openalex.org/W2268207117","https://openalex.org/W4300488607","https://openalex.org/W2951095575","https://openalex.org/W2105543801","https://openalex.org/W1530375092","https://openalex.org/W1916943706","https://openalex.org/W2002272911","https://openalex.org/W2561769964","https://openalex.org/W1739960723"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"13":[17],"August":[18],"2020Accepted:":[19],"08":[20],"September":[21],"2021Published":[22],"online:":[23],"16":[24],"December":[25],"2021Keywordsinapproximability,":[26],"integrality":[27],"gaps,":[28],"approximation":[29],"algorithms,":[30],"sparse":[31],"machine":[32],"learning,":[33],"randomized":[34],"rounding,":[35],"lift-and-projectAMS":[36],"Subject":[37],"Headings68Q17,":[38],"90C05,":[39],"90C57Publication":[40],"DataISSN":[41],"(print):":[42],"0895-4801ISSN":[43],"(online):":[44],"1095-7146Publisher:":[45],"Society":[46],"for":[47],"Industrial":[48],"and":[49],"Applied":[50],"MathematicsCODEN:":[51],"sjdmec":[52]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}