{"id":"https://openalex.org/W2144306455","doi":"https://doi.org/10.1145/2141938.2141940","title":"Approximating Linear Threshold Predicates","display_name":"Approximating Linear Threshold Predicates","publication_year":2012,"publication_date":"2012-03-01","ids":{"openalex":"https://openalex.org/W2144306455","doi":"https://doi.org/10.1145/2141938.2141940","mag":"2144306455"},"language":"en","primary_location":{"id":"doi:10.1145/2141938.2141940","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2141938.2141940","pdf_url":null,"source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computation Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/228025","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002790246","display_name":"Mahdi Cheraghchi","orcid":"https://orcid.org/0000-0001-8957-0306"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mahdi Cheraghchi","raw_affiliation_strings":["Carnegie Mellon University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013166918","display_name":"Johan H\u00e5stad","orcid":"https://orcid.org/0000-0002-5379-345X"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Johan H\u00e5stad","raw_affiliation_strings":["KTH Royal Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KTH Royal Institute of Technology","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026762469","display_name":"Marcus Isaksson","orcid":null},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]},{"id":"https://openalex.org/I881427289","display_name":"University of Gothenburg","ror":"https://ror.org/01tm6cn81","country_code":"SE","type":"education","lineage":["https://openalex.org/I881427289"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Marcus Isaksson","raw_affiliation_strings":["Chalmers University of Technology and University of Gothenburg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chalmers University of Technology and University of Gothenburg","institution_ids":["https://openalex.org/I66862912","https://openalex.org/I881427289"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046999727","display_name":"Ola Svensson","orcid":"https://orcid.org/0000-0003-2997-1372"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Ola Svensson","raw_affiliation_strings":["\u00c9cole Polytechnique F\u00e9d\u00e9ral de Lausanne","Ecole Polytechnique Federal de Lausanne"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9ral de Lausanne","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"Ecole Polytechnique Federal de Lausanne","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.02,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.7859552,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"4","issue":"1","first_page":"1","last_page":"31"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/predicate","display_name":"Predicate (mathematical logic)","score":0.7592865824699402},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6998627185821533},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6965802907943726},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.5538934469223022},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5473220944404602},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.48102885484695435},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.46480146050453186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18439602851867676}],"concepts":[{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.7592865824699402},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6998627185821533},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6965802907943726},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.5538934469223022},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5473220944404602},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48102885484695435},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.46480146050453186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18439602851867676},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/2141938.2141940","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2141938.2141940","pdf_url":null,"source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computation Theory","raw_type":"journal-article"},{"id":"pmh:oai:infoscience.epfl.ch:228025","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/228025","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"","raw_type":"Text"},{"id":"pmh:oai:research.chalmers.se:533196","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/533196","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:228025","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/228025","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"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":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2949206270","display_name":null,"funder_award_id":"PBELP2-133367","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G5529985077","display_name":null,"funder_award_id":"2.26E+11","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1523797563","https://openalex.org/W1528486370","https://openalex.org/W1530739071","https://openalex.org/W1967935161","https://openalex.org/W1979969728","https://openalex.org/W1985123706","https://openalex.org/W1985405937","https://openalex.org/W1999032440","https://openalex.org/W2021928776","https://openalex.org/W2081684569","https://openalex.org/W2083360043","https://openalex.org/W2087038607","https://openalex.org/W2095933180","https://openalex.org/W2097830036","https://openalex.org/W2110871651","https://openalex.org/W2115785437","https://openalex.org/W2120358419","https://openalex.org/W2166566648","https://openalex.org/W2179897858","https://openalex.org/W2191880374","https://openalex.org/W2545696445","https://openalex.org/W2949990864","https://openalex.org/W2950829438","https://openalex.org/W6631756467","https://openalex.org/W6764443411"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4300899577","https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W4393325717","https://openalex.org/W1973978937","https://openalex.org/W121594594","https://openalex.org/W2784911598","https://openalex.org/W4287023968"],"abstract_inverted_index":{"We":[0],"study":[1,99],"constraint":[2],"satisfaction":[3],"problems":[4],"on":[5],"the":[6,11,23,100,115,120,141,146,176],"domain":[7],"{\u22121,":[8],"1},":[9],"where":[10],"given":[12],"constraints":[13],"are":[14],"homogeneous":[15,80],"linear":[16,81],"threshold":[17,82,107],"predicates,":[18,173],"that":[19,84,109,180],"is,":[20],"predicates":[21,63,108,160],"of":[22,57,61,66,92,103,106,140,158,178,183],"form":[24],"sgn(":[25,123],"w":[26,33,43,47],"1":[27,29,44,125],"x":[28,35,124,129],"+":[30,32,126,128],"\u22ef":[31,127],"n":[34,36,48,130],")":[37],"for":[38,111,132,166],"some":[39],"positive":[40],"integer":[41],"weights":[42],",":[45],"...,":[46],".":[49],"Despite":[50],"their":[51],"simplicity,":[52],"current":[53],"techniques":[54,151],"fall":[55],"short":[56],"providing":[58],"a":[59,79,104,154],"classification":[60],"these":[62,172],"in":[64],"terms":[65],"approximability.":[67],"In":[68,168],"fact,":[69],"it":[70],"is":[71,85,95,119],"not":[72],"easy":[73],"to":[74,96,153,170],"guess":[75],"whether":[76],"there":[77],"exists":[78],"predicate":[83,118,122],"approximation":[86,101,143],"resistant":[87],"or":[88],"not.":[89],"The":[90],"focus":[91],"this":[93],"article":[94],"identify":[97],"and":[98,161],"curve":[102],"class":[105,157],"allow":[110],"nontrivial":[112],"approximation.":[113],"Arguably":[114],"simplest":[116],"such":[117],"majority":[121],"),":[131],"which":[133],"we":[134,162,174],"obtain":[135,163],"an":[136],"almost":[137],"complete":[138],"understanding":[139],"asymptotic":[142],"curve,":[144],"assuming":[145],"Unique":[147],"Games":[148],"Conjecture.":[149],"Our":[150],"extend":[152],"more":[155],"general":[156],"\u201cmajority-like\u201d":[159],"parallel":[164],"results":[165],"them.":[167],"order":[169],"classify":[171],"introduce":[175],"notion":[177],"Chow-robustness":[179],"might":[181],"be":[182],"independent":[184],"interest.":[185]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
