{"id":"https://openalex.org/W2560393541","doi":"https://doi.org/10.1145/3055399.3055476","title":"Approximate modularity revisited","display_name":"Approximate modularity revisited","publication_year":2017,"publication_date":"2017-06-15","ids":{"openalex":"https://openalex.org/W2560393541","doi":"https://doi.org/10.1145/3055399.3055476","mag":"2560393541"},"language":"en","primary_location":{"id":"doi:10.1145/3055399.3055476","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3055399.3055476","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-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/A5013190102","display_name":"Uriel Feige","orcid":"https://orcid.org/0009-0006-3749-4392"},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]},{"id":"https://openalex.org/I4210125051","display_name":"Microsoft (Israel)","ror":"https://ror.org/03819cc96","country_code":"IL","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210125051"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Uriel Feige","raw_affiliation_strings":["Weizmann Institute of Science, Israel / Microsoft Research, Israel"],"affiliations":[{"raw_affiliation_string":"Weizmann Institute of Science, Israel / Microsoft Research, Israel","institution_ids":["https://openalex.org/I53964585","https://openalex.org/I4210125051"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103282352","display_name":"Michal Feldman","orcid":"https://orcid.org/0000-0002-2915-8405"},"institutions":[{"id":"https://openalex.org/I4210125051","display_name":"Microsoft (Israel)","ror":"https://ror.org/03819cc96","country_code":"IL","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210125051"]},{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Michal Feldman","raw_affiliation_strings":["Tel Aviv University, Israel / Microsoft Research, Israel"],"affiliations":[{"raw_affiliation_string":"Tel Aviv University, Israel / Microsoft Research, Israel","institution_ids":["https://openalex.org/I4210125051","https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081600081","display_name":"Inbal Talgam-Cohen","orcid":"https://orcid.org/0000-0002-2838-3264"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Inbal Talgam-Cohen","raw_affiliation_strings":["Hebrew University of Jerusalem, Israel"],"affiliations":[{"raw_affiliation_string":"Hebrew University of Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013190102"],"corresponding_institution_ids":["https://openalex.org/I4210125051","https://openalex.org/I53964585"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.02128532,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1028","last_page":"1041"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9995999932289124,"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":0.9995999932289124,"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/T11182","display_name":"Auction Theory and Applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9983000159263611,"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/modularity","display_name":"Modularity (biology)","score":0.772939145565033},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.667409360408783},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6533645391464233},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6041464805603027},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4485187530517578},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.42124420404434204},{"id":"https://openalex.org/keywords/set-function","display_name":"Set function","score":0.4180243909358978},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3295617401599884},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2262604832649231},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08555036783218384}],"concepts":[{"id":"https://openalex.org/C2779478453","wikidata":"https://www.wikidata.org/wiki/Q6889748","display_name":"Modularity (biology)","level":2,"score":0.772939145565033},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.667409360408783},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6533645391464233},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6041464805603027},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4485187530517578},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.42124420404434204},{"id":"https://openalex.org/C15312841","wikidata":"https://www.wikidata.org/wiki/Q1657198","display_name":"Set function","level":3,"score":0.4180243909358978},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3295617401599884},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2262604832649231},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08555036783218384},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3055399.3055476","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3055399.3055476","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3056135386","display_name":null,"funder_award_id":"337122","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G4629855253","display_name":null,"funder_award_id":"1388/16","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G5830620720","display_name":null,"funder_award_id":"708935","funder_id":"https://openalex.org/F4320335254","funder_display_name":"Horizon 2020"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"},{"id":"https://openalex.org/F4320335254","display_name":"Horizon 2020","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1437921706","https://openalex.org/W1897230935","https://openalex.org/W1991223607","https://openalex.org/W2003874621","https://openalex.org/W2023627355","https://openalex.org/W2035575256","https://openalex.org/W2047720454","https://openalex.org/W2128059732","https://openalex.org/W2131824593","https://openalex.org/W2141552007","https://openalex.org/W2170531897","https://openalex.org/W2188503328","https://openalex.org/W2237447357","https://openalex.org/W2264490347","https://openalex.org/W2293753023","https://openalex.org/W2462329984","https://openalex.org/W2531707131","https://openalex.org/W2770911772","https://openalex.org/W2913668833","https://openalex.org/W2962711478","https://openalex.org/W2963333531","https://openalex.org/W2963870478","https://openalex.org/W3003506411","https://openalex.org/W3004537778"],"related_works":["https://openalex.org/W1616271105","https://openalex.org/W329326438","https://openalex.org/W14800838","https://openalex.org/W4322716446","https://openalex.org/W1965461781","https://openalex.org/W2347435685","https://openalex.org/W2378801550","https://openalex.org/W2384963557","https://openalex.org/W2027108423","https://openalex.org/W4365802648"],"abstract_inverted_index":{"Set":[0],"functions":[1],"with":[2],"convenient":[3],"properties":[4,42],"(such":[5],"as":[6,16],"submodularity)":[7],"appear":[8],"in":[9,32,58],"application":[10],"areas":[11],"of":[12,35,63],"current":[13],"interest,":[14],"such":[15,41,56],"algorithmic":[17],"game":[18],"theory,":[19],"and":[20,44],"allow":[21],"for":[22],"improved":[23],"optimization":[24],"algorithms.":[25],"It":[26],"is":[27],"natural":[28],"to":[29],"ask":[30],"(e.g.,":[31],"the":[33,59],"context":[34],"data":[36],"driven":[37],"optimization)":[38],"how":[39],"robust":[40],"are,":[43],"whether":[45],"small":[46],"deviations":[47],"from":[48],"them":[49],"can":[50],"be":[51],"tolerated.":[52],"We":[53],"consider":[54],"two":[55],"questions":[57],"important":[60],"special":[61],"case":[62],"linear":[64],"set":[65],"functions.":[66]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}