{"id":"https://openalex.org/W3190934389","doi":"https://doi.org/10.1145/3519935.3519957","title":"Approximate counting and sampling via local central limit theorems","display_name":"Approximate counting and sampling via local central limit theorems","publication_year":2022,"publication_date":"2022-06-09","ids":{"openalex":"https://openalex.org/W3190934389","doi":"https://doi.org/10.1145/3519935.3519957","mag":"3190934389"},"language":"en","primary_location":{"id":"doi:10.1145/3519935.3519957","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3519935.3519957","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/1721.1/146422","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017261510","display_name":"Vishesh Jain","orcid":"https://orcid.org/0000-0002-7275-3218"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vishesh Jain","raw_affiliation_strings":["Stanford University, USA"],"affiliations":[{"raw_affiliation_string":"Stanford University, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010848870","display_name":"Will Perkins","orcid":"https://orcid.org/0000-0002-7937-7016"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Will Perkins","raw_affiliation_strings":["University of Illinois at Chicago, USA"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Chicago, USA","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036739756","display_name":"Ashwin Sah","orcid":"https://orcid.org/0000-0003-3438-5175"},"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":false,"raw_author_name":"Ashwin Sah","raw_affiliation_strings":["Massachusetts Institute of Technology, USA"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030299401","display_name":"Mehtaab Sawhney","orcid":"https://orcid.org/0009-0002-3238-7134"},"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":false,"raw_author_name":"Mehtaab Sawhney","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":4,"corresponding_author_ids":["https://openalex.org/A5017261510"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":2.2204,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.88176332,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1473","last_page":"1486"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/combinatorics","display_name":"Combinatorics","score":0.7662685513496399},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7215550541877747},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5988028049468994},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5650686025619507},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5149060487747192},{"id":"https://openalex.org/keywords/central-limit-theorem","display_name":"Central limit theorem","score":0.5062519907951355},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49751952290534973},{"id":"https://openalex.org/keywords/sample-complexity","display_name":"Sample complexity","score":0.47428518533706665},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.4683002531528473},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.44431164860725403},{"id":"https://openalex.org/keywords/running-time","display_name":"Running time","score":0.43314090371131897},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18468016386032104},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1634291112422943},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12704885005950928},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11489859223365784},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10372814536094666}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7662685513496399},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7215550541877747},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5988028049468994},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5650686025619507},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5149060487747192},{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.5062519907951355},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49751952290534973},{"id":"https://openalex.org/C2778445095","wikidata":"https://www.wikidata.org/wiki/Q18354077","display_name":"Sample complexity","level":2,"score":0.47428518533706665},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.4683002531528473},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.44431164860725403},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.43314090371131897},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18468016386032104},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1634291112422943},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12704885005950928},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11489859223365784},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10372814536094666},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3519935.3519957","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3519935.3519957","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:dspace.mit.edu:1721.1/146422","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/146422","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM|Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"http://purl.org/eprint/type/ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:dspace.mit.edu:1721.1/146422","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/146422","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM|Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"http://purl.org/eprint/type/ConferencePaper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W1505880561","https://openalex.org/W1776308369","https://openalex.org/W1987107795","https://openalex.org/W1991832118","https://openalex.org/W2004724832","https://openalex.org/W2006912660","https://openalex.org/W2014488202","https://openalex.org/W2037389370","https://openalex.org/W2042407977","https://openalex.org/W2047290604","https://openalex.org/W2088847343","https://openalex.org/W2096626276","https://openalex.org/W2106153976","https://openalex.org/W2106285343","https://openalex.org/W2140422174","https://openalex.org/W2161611531","https://openalex.org/W2165356592","https://openalex.org/W2474151873","https://openalex.org/W2528080966","https://openalex.org/W2607730504","https://openalex.org/W2607935881","https://openalex.org/W2765846489","https://openalex.org/W2766232880","https://openalex.org/W2775956831","https://openalex.org/W2953600026","https://openalex.org/W2963303432","https://openalex.org/W2963400600","https://openalex.org/W2963795759","https://openalex.org/W2963977496","https://openalex.org/W2964131987","https://openalex.org/W2969750429","https://openalex.org/W2995442611","https://openalex.org/W3001245651","https://openalex.org/W3035156632","https://openalex.org/W3088330630","https://openalex.org/W3098145045","https://openalex.org/W3100492754","https://openalex.org/W3101482641","https://openalex.org/W3105058115","https://openalex.org/W3116562332","https://openalex.org/W3126279954","https://openalex.org/W3126994589","https://openalex.org/W3128481257","https://openalex.org/W3165988880","https://openalex.org/W3168571112","https://openalex.org/W3170539426","https://openalex.org/W3184526326","https://openalex.org/W4233204288","https://openalex.org/W4235610539","https://openalex.org/W4244121195","https://openalex.org/W4247564011","https://openalex.org/W4301327982","https://openalex.org/W6775813391"],"related_works":["https://openalex.org/W2113270940","https://openalex.org/W2004283824","https://openalex.org/W1581210843","https://openalex.org/W1992104669","https://openalex.org/W1982530285","https://openalex.org/W2521054645","https://openalex.org/W1998702677","https://openalex.org/W1830048115","https://openalex.org/W2515993118","https://openalex.org/W2887154986"],"abstract_inverted_index":{"We":[0,66],"give":[1],"an":[2,42],"FPTAS":[3,43],"for":[4,24,44,63],"computing":[5],"the":[6,36,45,60,77],"number":[7,38,46],"of":[8,10,17,39,47,50,82,90],"matchings":[9,81],"size":[11,51,83,91],"k":[12,26,52,84,92],"in":[13],"a":[14],"graph":[15],"G":[16],"maximum":[18],"degree":[19],"\u0394":[20],"on":[21,80],"n":[22],"vertices,":[23],"all":[25],"\u2264":[27,53,85,93],"(1\u2212\u03b4)m*(G),":[28],"where":[29,57],"\u03b4>0":[30],"is":[31,35,59],"fixed":[32],"and":[33,41,87],"m*(G)":[34],"matching":[37],"G,":[40],"independent":[48,88],"sets":[49,89],"(1\u2212\u03b4)":[54],"\u03b1c(\u0394)":[55,58],"n,":[56],"NP-hardness":[61],"threshold":[62],"this":[64],"problem.":[65],"also":[67],"provide":[68],"quasi-linear":[69],"time":[70],"randomized":[71],"algorithms":[72],"to":[73],"approximately":[74],"sample":[75],"from":[76],"uniform":[78],"distribution":[79],"(1\u2212\u03b4)m*(G)":[86],"(1\u2212\u03b4)\u03b1c(\u0394)n.":[94]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
