{"id":"https://openalex.org/W2950754995","doi":"https://doi.org/10.1137/1.9781611973099.74","title":"Approximate Counting via Correlation Decay in Spin Systems","display_name":"Approximate Counting via Correlation Decay in Spin Systems","publication_year":2012,"publication_date":"2012-01-17","ids":{"openalex":"https://openalex.org/W2950754995","doi":"https://doi.org/10.1137/1.9781611973099.74","mag":"2950754995"},"language":"en","primary_location":{"id":"doi:10.1137/1.9781611973099.74","is_oa":true,"landing_page_url":"https://doi.org/10.1137/1.9781611973099.74","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/1.9781611973099.74","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://epubs.siam.org/doi/pdf/10.1137/1.9781611973099.74","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064955848","display_name":"Li Liang","orcid":"https://orcid.org/0000-0003-2424-546X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liang Li","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025408809","display_name":"Pinyan Lu","orcid":"https://orcid.org/0009-0005-0569-4122"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pinyan Lu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5101513638","display_name":"Yitong Yin","orcid":"https://orcid.org/0000-0001-9204-7794"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yitong Yin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"922","last_page":"940"},"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":0.989799976348877,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9843999743461609,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6218995451927185},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5738223195075989},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4989440441131592},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4918351173400879},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.47223731875419617},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.4417503774166107},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.422504186630249},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3827700912952423},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35622817277908325},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2910115718841553},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12491363286972046}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6218995451927185},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5738223195075989},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4989440441131592},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4918351173400879},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.47223731875419617},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.4417503774166107},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.422504186630249},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3827700912952423},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35622817277908325},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2910115718841553},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12491363286972046},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/1.9781611973099.74","is_oa":true,"landing_page_url":"https://doi.org/10.1137/1.9781611973099.74","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/1.9781611973099.74","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1137/1.9781611973099.74","is_oa":true,"landing_page_url":"https://doi.org/10.1137/1.9781611973099.74","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/1.9781611973099.74","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W171146495","https://openalex.org/W1507653385","https://openalex.org/W1559445597","https://openalex.org/W1607251184","https://openalex.org/W1669186301","https://openalex.org/W1769441766","https://openalex.org/W1803292696","https://openalex.org/W1824395173","https://openalex.org/W1827697876","https://openalex.org/W1833246367","https://openalex.org/W1964923287","https://openalex.org/W1968640133","https://openalex.org/W1974691089","https://openalex.org/W1977104034","https://openalex.org/W1978769275","https://openalex.org/W1981764507","https://openalex.org/W1986979529","https://openalex.org/W1991832118","https://openalex.org/W2001979585","https://openalex.org/W2004724832","https://openalex.org/W2005716876","https://openalex.org/W2012753562","https://openalex.org/W2017095216","https://openalex.org/W2024710200","https://openalex.org/W2030932831","https://openalex.org/W2040145343","https://openalex.org/W2048759201","https://openalex.org/W2058673868","https://openalex.org/W2060159282","https://openalex.org/W2060701668","https://openalex.org/W2071824433","https://openalex.org/W2084392902","https://openalex.org/W2084539108","https://openalex.org/W2092436554","https://openalex.org/W2118223706","https://openalex.org/W2126692288","https://openalex.org/W2131358503","https://openalex.org/W2145707075","https://openalex.org/W2155597422","https://openalex.org/W2161611531","https://openalex.org/W2163208395","https://openalex.org/W2164214871","https://openalex.org/W2165356592","https://openalex.org/W2245184113","https://openalex.org/W2578910477","https://openalex.org/W2949252806","https://openalex.org/W2951094206","https://openalex.org/W2952084754","https://openalex.org/W2953161932","https://openalex.org/W3111890340","https://openalex.org/W3124201190"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W2129818458","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W4243074410","https://openalex.org/W1774334694"],"abstract_inverted_index":{"We":[0,127,151],"give":[1],"the":[2,12,25,28,31,49,61,112,138,158,198,202],"first":[3],"deterministic":[4],"fully":[5],"polynomial-time":[6,176],"approximation":[7],"scheme":[8],"(FPTAS)":[9],"for":[10,101,107,184,209,212],"computing":[11],"partition":[13],"function":[14],"of":[15,27,41,131,148,161,193,201],"a":[16,117,129,144,153,167],"two-state":[17],"spin":[18,185,203],"system":[19,29],"on":[20,34,60,103,187],"an":[21,99,172,182],"arbitrary":[22,104,188],"graph,":[23],"when":[24],"parameters":[26],"satisfy":[30],"uniqueness":[32],"condition":[33,39],"infinite":[35],"regular":[36],"trees.":[37],"This":[38,179,190],"is":[40,45,58,80,141],"physical":[42,92],"significance":[43],"and":[44,54,68,72,165,205],"believed":[46],"to":[47,84,156],"be":[48,207],"right":[50],"boundary":[51],"between":[52],"approximable":[53],"inapproximable.":[55],"\r\nThe":[56],"FPTAS":[57,100,183,211],"based":[59],"correlation":[62,78,121,134,139,163,168,194],"decay":[63,79,122,140,164,169,195],"technique":[64],"introduced":[65],"by":[66,120,175],"Bandyopadhyay":[67],"Gamarnik":[69],"[SODA":[70],"06]":[71],"Weitz":[73],"[STOC":[74],"06].":[75],"The":[76],"classic":[77],"defined":[81],"with":[82,109],"respect":[83],"graph":[85,149],"distance.":[86,150],"Although":[87],"this":[88,162],"definition":[89],"has":[90],"natural":[91],"meanings,":[93],"it":[94],"does":[95],"not":[96],"directly":[97],"support":[98],"systems":[102,186],"graphs,":[105],"because":[106],"graphs":[108],"unbounded":[110],"degrees,":[111],"local":[113,177],"computation":[114],"that":[115,170],"provides":[116],"desirable":[118],"precision":[119,174],"may":[123,206],"take":[124],"super-polynomial":[125],"time.":[126],"introduce":[128],"notion":[130,192],"computationally":[132],"efficient":[133],"decay,":[135],"in":[136,143],"which":[137],"measured":[142],"refined":[145],"metric":[146],"instead":[147],"use":[152],"potential":[154],"method":[155],"analyze":[157],"amortized":[159],"behavior":[160],"establish":[166],"guarantees":[171],"inverse-polynomial":[173],"computation.":[178],"gives":[180],"us":[181],"graphs.":[189],"new":[191],"properly":[196],"reflects":[197],"algorithmic":[199],"aspect":[200],"systems,":[204],"used":[208],"designing":[210],"other":[213],"counting":[214],"problems.":[215]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
