{"id":"https://openalex.org/W4287020200","doi":"https://doi.org/10.1137/21m1467389","title":"Approximation Algorithms for the Random Field Ising Model","display_name":"Approximation Algorithms for the Random Field Ising Model","publication_year":2023,"publication_date":"2023-07-27","ids":{"openalex":"https://openalex.org/W4287020200","doi":"https://doi.org/10.1137/21m1467389"},"language":"en","primary_location":{"id":"doi:10.1137/21m1467389","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1467389","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://durham-repository.worktribe.com/output/2876506","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030764172","display_name":"Tyler Helmuth","orcid":"https://orcid.org/0000-0003-4442-2961"},"institutions":[{"id":"https://openalex.org/I190082696","display_name":"Durham University","ror":"https://ror.org/01v29qb04","country_code":"GB","type":"education","lineage":["https://openalex.org/I190082696"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Tyler Helmuth","raw_affiliation_strings":["Mathematical Sciences Department, Durham University, DH1 3LE Durham, UK"],"raw_orcid":"https://orcid.org/0000-0003-4442-2961","affiliations":[{"raw_affiliation_string":"Mathematical Sciences Department, Durham University, DH1 3LE Durham, UK","institution_ids":["https://openalex.org/I190082696"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008139378","display_name":"Holden Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]},{"id":"https://openalex.org/I2799853436","display_name":"Johns Hopkins Medicine","ror":"https://ror.org/037zgn354","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I2799853436"]},{"id":"https://openalex.org/I6059380","display_name":"University of Baltimore","ror":"https://ror.org/024gw2733","country_code":"US","type":"education","lineage":["https://openalex.org/I6059380"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Holden Lee","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, MD 21211 USA"],"raw_orcid":"https://orcid.org/0000-0003-3534-8739","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, MD 21211 USA","institution_ids":["https://openalex.org/I145311948","https://openalex.org/I2799853436","https://openalex.org/I6059380"]}]},{"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/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Will Perkins","raw_affiliation_strings":["School of Computer Science, Georgia Institute of Technology, Atlanta, GA 30305 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Georgia Institute of Technology, Atlanta, GA 30305 USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042944225","display_name":"Mohan Ravichandran","orcid":"https://orcid.org/0000-0003-0268-6424"},"institutions":[{"id":"https://openalex.org/I4405392","display_name":"Bo\u011fazi\u00e7i University","ror":"https://ror.org/03z9tma90","country_code":"TR","type":"education","lineage":["https://openalex.org/I4405392"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Mohan Ravichandran","raw_affiliation_strings":["Department of Mathematics, Bogazici University, 34342 Bebek, Istanbul, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bogazici University, 34342 Bebek, Istanbul, Turkey","institution_ids":["https://openalex.org/I4405392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100755662","display_name":"Qiang Wu","orcid":"https://orcid.org/0000-0002-2901-7434"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qiang Wu","raw_affiliation_strings":["Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5030764172"],"corresponding_institution_ids":["https://openalex.org/I190082696"],"apc_list":null,"apc_paid":null,"fwci":0.3233,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57205783,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"37","issue":"3","first_page":"1610","last_page":"1629"},"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":0.9983000159263611,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9941999912261963,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7835085391998291},{"id":"https://openalex.org/keywords/ising-model","display_name":"Ising model","score":0.7738715410232544},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5653359889984131},{"id":"https://openalex.org/keywords/glauber","display_name":"Glauber","score":0.5615174770355225},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.5327363610267639},{"id":"https://openalex.org/keywords/partition-function","display_name":"Partition function (quantum field theory)","score":0.5176753997802734},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.4625844657421112},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45639532804489136},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44275814294815063},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43885332345962524},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4365793466567993},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4141892194747925},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.23333904147148132},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.20843353867530823},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12268954515457153}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7835085391998291},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.7738715410232544},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5653359889984131},{"id":"https://openalex.org/C2780708879","wikidata":"https://www.wikidata.org/wiki/Q5567254","display_name":"Glauber","level":3,"score":0.5615174770355225},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.5327363610267639},{"id":"https://openalex.org/C2778401447","wikidata":"https://www.wikidata.org/wiki/Q7140637","display_name":"Partition function (quantum field theory)","level":2,"score":0.5176753997802734},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4625844657421112},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45639532804489136},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44275814294815063},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43885332345962524},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4365793466567993},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4141892194747925},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.23333904147148132},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.20843353867530823},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12268954515457153},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/21m1467389","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1467389","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:durham-repository.worktribe.com:2876506","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/2876506","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"}],"best_oa_location":{"id":"pmh:oai:durham-repository.worktribe.com:2876506","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/2876506","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3720093091","display_name":null,"funder_award_id":"CCF-1934915","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G952070818","display_name":null,"funder_award_id":"DMS-1847451","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1564028391","https://openalex.org/W1770469170","https://openalex.org/W1977162457","https://openalex.org/W2024710200","https://openalex.org/W2036978334","https://openalex.org/W2047889550","https://openalex.org/W2078000356","https://openalex.org/W2088968225","https://openalex.org/W2104204302","https://openalex.org/W2130624350","https://openalex.org/W2162365350","https://openalex.org/W2177243619","https://openalex.org/W2568660165","https://openalex.org/W2607730504","https://openalex.org/W2796069234","https://openalex.org/W2885549115","https://openalex.org/W2952808529","https://openalex.org/W2962998907","https://openalex.org/W2981658417","https://openalex.org/W2991887697","https://openalex.org/W2995442611","https://openalex.org/W3100445533","https://openalex.org/W3102678287","https://openalex.org/W3116887569","https://openalex.org/W3135924815"],"related_works":["https://openalex.org/W8675762","https://openalex.org/W1848614119","https://openalex.org/W2945336329","https://openalex.org/W1969236836","https://openalex.org/W3209539671","https://openalex.org/W2787138325","https://openalex.org/W1985264093","https://openalex.org/W2756039007","https://openalex.org/W2944617580","https://openalex.org/W2020029493"],"abstract_inverted_index":{"Approximating":[0],"the":[1,5,19,58,72,85,89,107,142,152],"partition":[2,179],"function":[3],"of":[4,45,74,144,148,164,178,185,192],"ferromagnetic":[6],"Ising":[7,61],"model":[8,62],"with":[9,65,81,98,127],"general":[10],"external":[11,90,119,153],"fields":[12,87,91,120],"is":[13,28,133,155,195],"known":[14],"to":[15,171,188],"be":[16],"#BIS-hard":[17],"in":[18,124],"worst":[20],"case,":[21],"even":[22],"for":[23,47,57,118],"bounded-degree":[24],"graphs,":[25],"and":[26,79,94,110,181],"it":[27],"widely":[29],"believed":[30],"that":[31,121,134],"no":[32],"polynomial-time":[33,49,76],"approximation":[34,50,77],"scheme":[35],"exists.":[36],"This":[37],"motivates":[38],"an":[39],"average-case":[40],"question:":[41],"are":[42,92,122,168],"there":[43],"classes":[44],"instances":[46],"which":[48,151,159],"schemes":[51,78],"exist?":[52],"We":[53,70],"investigate":[54],"this":[55],"question":[56],"random":[59,86],"field":[60,154],"on":[63,106,174,197,199],"graphs":[64],"maximum":[66],"degree":[67],"\u0394":[68,111],".":[69,112],"establish":[71],"existence":[73,143],"fully":[75],"samplers":[80],"high":[82,128],"probability":[83],"over":[84],"if":[88],"independent":[93],"identically":[95],"distributed":[96],"Gaussians":[97],"variance":[99],"larger":[100],"than":[101],"a":[102,136,145,169,200],"constant":[103],"depending":[104],"only":[105],"inverse":[108],"temperature":[109],"Our":[113],"methods":[114],"work":[115],"more":[116],"generally":[117],"large":[123],"absolute":[125],"value":[126],"probability.":[129],"The":[130,190],"main":[131],"challenge":[132],"such":[135],"hypothesis":[137],"does":[138],"not":[139],"rule":[140],"out":[141],"positive":[146],"density":[147],"vertices":[149],"at":[150],"small.":[156],"These":[157],"regions,":[158],"may":[160],"have":[161],"connected":[162],"components":[163],"size":[165],"\u0398(log\ud835\udc5b)":[166],",":[167],"barrier":[170],"algorithms":[172],"based":[173,196],"establishing":[175],"zero-free":[176],"regions":[177],"functions":[180],"cause":[182],"worst-case":[183],"analyses":[184],"Glauber":[186],"dynamics":[187],"fail.":[189],"analysis":[191],"our":[193],"algorithm":[194],"percolation":[198],"self-avoiding":[201],"walk":[202],"tree.":[203]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}
