{"id":"https://openalex.org/W2536405182","doi":"https://doi.org/10.1145/3055399.3055428","title":"Approximate counting, the Lovasz local lemma, and inference in graphical models","display_name":"Approximate counting, the Lovasz local lemma, and inference in graphical models","publication_year":2017,"publication_date":"2017-06-15","ids":{"openalex":"https://openalex.org/W2536405182","doi":"https://doi.org/10.1145/3055399.3055428","mag":"2536405182"},"language":"en","primary_location":{"id":"doi:10.1145/3055399.3055428","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3055399.3055428","pdf_url":"http://dl.acm.org/ft_gateway.cfm?id=3055428&type=pdf","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":true,"oa_status":"gold","oa_url":"http://dl.acm.org/ft_gateway.cfm?id=3055428&type=pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045798295","display_name":"Ankur Moitra","orcid":"https://orcid.org/0000-0001-7047-0495"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ankur Moitra","raw_affiliation_strings":["Massachusetts Institute of Technology, USA"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5045798295"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":2.9157,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.92851,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"356","last_page":"369"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9926999807357788,"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/T10136","display_name":"Statistical Methods and Inference","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/bounded-function","display_name":"Bounded function","score":0.7439517378807068},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.733776330947876},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.7230609059333801},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.6199803352355957},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5827581882476807},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5642342567443848},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.545362114906311},{"id":"https://openalex.org/keywords/graphical-model","display_name":"Graphical model","score":0.5376895666122437},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5357372760772705},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4600408673286438},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3679737448692322},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36006879806518555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33147913217544556},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3235887885093689},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21169665455818176},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11224648356437683},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09388419985771179}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7439517378807068},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.733776330947876},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7230609059333801},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6199803352355957},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5827581882476807},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5642342567443848},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.545362114906311},{"id":"https://openalex.org/C155846161","wikidata":"https://www.wikidata.org/wiki/Q1143367","display_name":"Graphical model","level":2,"score":0.5376895666122437},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5357372760772705},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4600408673286438},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3679737448692322},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36006879806518555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33147913217544556},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3235887885093689},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21169665455818176},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11224648356437683},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09388419985771179},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3055399.3055428","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3055399.3055428","pdf_url":"http://dl.acm.org/ft_gateway.cfm?id=3055428&type=pdf","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":{"id":"doi:10.1145/3055399.3055428","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3055399.3055428","pdf_url":"http://dl.acm.org/ft_gateway.cfm?id=3055428&type=pdf","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1171700966","display_name":null,"funder_award_id":"NSF CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1617160020","display_name":null,"funder_award_id":"CCF-1565235","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4013571268","display_name":null,"funder_award_id":"1453261","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4496048218","display_name":null,"funder_award_id":"Research Fellowship","funder_id":"https://openalex.org/F4320306079","funder_display_name":"David and Lucile Packard Foundation"},{"id":"https://openalex.org/G4633881097","display_name":null,"funder_award_id":"CCF-1453261","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4723251218","display_name":null,"funder_award_id":"1565235","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6894402473","display_name":null,"funder_award_id":"Fellowship","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8340282552","display_name":null,"funder_award_id":"CCF-1453261, CCF-1565235","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8525498377","display_name":null,"funder_award_id":"Research Fellowship","funder_id":"https://openalex.org/F4320306151","funder_display_name":"Alfred P. Sloan Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306079","display_name":"David and Lucile Packard Foundation","ror":"https://ror.org/032atxq54"},{"id":"https://openalex.org/F4320306151","display_name":"Alfred P. Sloan Foundation","ror":"https://ror.org/052csg198"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2536405182.pdf","grobid_xml":"https://content.openalex.org/works/W2536405182.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1619473509","https://openalex.org/W1776308369","https://openalex.org/W1987107795","https://openalex.org/W1993449345","https://openalex.org/W1999432334","https://openalex.org/W1999901857","https://openalex.org/W2006557844","https://openalex.org/W2017226731","https://openalex.org/W2022392080","https://openalex.org/W2051283034","https://openalex.org/W2072211488","https://openalex.org/W2072870176","https://openalex.org/W2109693504","https://openalex.org/W2128452148","https://openalex.org/W2152324554","https://openalex.org/W2217040753","https://openalex.org/W2231209235","https://openalex.org/W2400716891","https://openalex.org/W2553830752","https://openalex.org/W2951646392","https://openalex.org/W2963795759","https://openalex.org/W2964282105","https://openalex.org/W3081001064","https://openalex.org/W3101482641","https://openalex.org/W3102182509","https://openalex.org/W3111890340"],"related_works":["https://openalex.org/W3100954504","https://openalex.org/W2499297376","https://openalex.org/W3022449129","https://openalex.org/W1588317520","https://openalex.org/W2606781077","https://openalex.org/W4386731851","https://openalex.org/W125268981","https://openalex.org/W1519862060","https://openalex.org/W2490289125","https://openalex.org/W4386732094"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"introduce":[4],"a":[5,32],"new":[6],"approach":[7],"for":[8],"approximately":[9,25],"counting":[10],"in":[11,41],"bounded":[12],"degree":[13],"systems":[14],"with":[15],"higher-order":[16],"constraints.":[17],"Our":[18],"main":[19],"result":[20],"is":[21,39],"an":[22,47],"algorithm":[23],"to":[24,31],"count":[26],"the":[27,37,42,51],"number":[28],"of":[29],"solutions":[30],"CNF":[33],"formula":[34],"\u0424":[35],"when":[36],"width":[38],"logarithmic":[40],"maximum":[43],"degree.":[44],"This":[45],"closes":[46],"exponential":[48],"gap":[49],"between":[50],"known":[52],"upper":[53],"and":[54],"lower":[55],"bounds.":[56]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}