{"id":"https://openalex.org/W2896843910","doi":"https://doi.org/10.1145/3337785","title":"Approximating Pairwise Correlations in the Ising Model","display_name":"Approximating Pairwise Correlations in the Ising Model","publication_year":2019,"publication_date":"2019-07-23","ids":{"openalex":"https://openalex.org/W2896843910","doi":"https://doi.org/10.1145/3337785","mag":"2896843910"},"language":"en","primary_location":{"id":"doi:10.1145/3337785","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3337785","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1810.05830","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029293569","display_name":"Leslie Ann Goldberg","orcid":"https://orcid.org/0000-0003-1879-6089"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Leslie Ann Goldberg","raw_affiliation_strings":["Department of Computer Science, University of Oxford, Oxford, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Oxford, Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090122841","display_name":"Mark Jerrum","orcid":"https://orcid.org/0000-0003-0863-7279"},"institutions":[{"id":"https://openalex.org/I166337079","display_name":"Queen Mary University of London","ror":"https://ror.org/026zzn846","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I166337079"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mark Jerrum","raw_affiliation_strings":["School of Mathematical Sciences, Queen Mary, University of London, London, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Queen Mary, University of London, London, United Kingdom","institution_ids":["https://openalex.org/I166337079"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029293569"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":null,"apc_paid":null,"fwci":0.9538,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.75646613,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"11","issue":"4","first_page":"1","last_page":"20"},"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9955999851226807,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ising-model","display_name":"Ising model","score":0.7733947038650513},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.7727810740470886},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6835581064224243},{"id":"https://openalex.org/keywords/antiferromagnetism","display_name":"Antiferromagnetism","score":0.561869204044342},{"id":"https://openalex.org/keywords/spins","display_name":"Spins","score":0.4720407724380493},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3982311487197876},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36342865228652954},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3619512915611267},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21802937984466553},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19580617547035217},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12301230430603027},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.09044596552848816}],"concepts":[{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.7733947038650513},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.7727810740470886},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6835581064224243},{"id":"https://openalex.org/C155355069","wikidata":"https://www.wikidata.org/wiki/Q575224","display_name":"Antiferromagnetism","level":2,"score":0.561869204044342},{"id":"https://openalex.org/C2778870898","wikidata":"https://www.wikidata.org/wiki/Q7577658","display_name":"Spins","level":2,"score":0.4720407724380493},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3982311487197876},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36342865228652954},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3619512915611267},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21802937984466553},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19580617547035217},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12301230430603027},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.09044596552848816}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/3337785","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3337785","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:arXiv.org:1810.05830","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.05830","pdf_url":"https://arxiv.org/pdf/1810.05830","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:d0deb6ea-05a5-43af-b3aa-d4c97fc09958","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:d0deb6ea-05a5-43af-b3aa-d4c97fc09958","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal article"},{"id":"pmh:oai:qmro.qmul.ac.uk:123456789/57925","is_oa":false,"landing_page_url":"https://qmro.qmul.ac.uk/xmlui/handle/123456789/57925","pdf_url":null,"source":{"id":"https://openalex.org/S4306400530","display_name":"Queen Mary Research Online (Queen Mary University of London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I166337079","host_organization_name":"Queen Mary University of London","host_organization_lineage":["https://openalex.org/I166337079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1810.05830","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1810.05830","pdf_url":"https://arxiv.org/pdf/1810.05830","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1197539974","display_name":null,"funder_award_id":"EP/N004221/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G2824819309","display_name":null,"funder_award_id":"334828","funder_id":"https://openalex.org/F4320338352","funder_display_name":"FP7 Ideas: European Research Council"},{"id":"https://openalex.org/G5835420566","display_name":"Algorithms that count: exploring the limits of tractability","funder_award_id":"EP/N004221/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320338352","display_name":"FP7 Ideas: European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1590167836","https://openalex.org/W2011541958","https://openalex.org/W2023502716","https://openalex.org/W2024710200","https://openalex.org/W2033281046","https://openalex.org/W2038383704","https://openalex.org/W2043694962","https://openalex.org/W2072467734","https://openalex.org/W2080408506","https://openalex.org/W2107997203","https://openalex.org/W2161611531","https://openalex.org/W2219192697","https://openalex.org/W2899702797","https://openalex.org/W3006385407","https://openalex.org/W3099854631","https://openalex.org/W4246402091","https://openalex.org/W4389615669"],"related_works":["https://openalex.org/W1968080425","https://openalex.org/W1615723830","https://openalex.org/W1936915916","https://openalex.org/W2545591807","https://openalex.org/W2197173994","https://openalex.org/W1967313885","https://openalex.org/W2073439108","https://openalex.org/W1990423950","https://openalex.org/W4255387243","https://openalex.org/W1979989913"],"abstract_inverted_index":{"In":[0,19,115],"the":[1,6,10,13,20,38,61,80,83,90,93,104,122,125,130],"Ising":[2,109],"model,":[3],"we":[4,43,117],"consider":[5],"problem":[7],"of":[8,12,106,124],"estimating":[9,103],"covariance":[11,33,62,81,105,126],"spins":[14],"at":[15],"two":[16],"specified":[17],"vertices.":[18],"ferromagnetic":[21,84,94],"case,":[22],"it":[23,49],"is":[24,50,70,96,98,127],"easy":[25],"to":[26,31,54,92],"obtain":[27],"an":[28,107],"additive":[29],"approximation":[30,76],"this":[32,56],"by":[34,57],"repeatedly":[35],"sampling":[36],"from":[37],"relevant":[39],"Gibbs":[40],"distribution.":[41],"However,":[42],"desire":[44],"a":[45,71],"multiplicative":[46],"approximation,":[47],"and":[48],"not":[51],"clear":[52],"how":[53],"achieve":[55],"sampling,":[58],"given":[59],"that":[60,89,119],"can":[63],"be":[64],"exponentially":[65],"small.":[66],"Our":[67],"main":[68],"contribution":[69],"fully":[72],"polynomial":[73],"time":[74],"randomised":[75],"scheme":[77],"(FPRAS)":[78],"for":[79,101],"in":[82,129],"case.":[85,132],"We":[86],"also":[87],"show":[88,118],"restriction":[91],"case":[95],"essential\u2014there":[97],"no":[99],"FPRAS":[100],"multiplicatively":[102],"antiferromagnetic":[108,131],"model":[110],"unless":[111],"RP":[112],"=":[113],"#P.":[114],"fact,":[116],"even":[120],"determining":[121],"sign":[123],"#P-hard":[128]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
