{"id":"https://openalex.org/W4401724403","doi":"https://doi.org/10.1145/3686799","title":"Complexity of High-Dimensional Identity Testing with Coordinate Conditional Sampling","display_name":"Complexity of High-Dimensional Identity Testing with Coordinate Conditional Sampling","publication_year":2024,"publication_date":"2024-08-21","ids":{"openalex":"https://openalex.org/W4401724403","doi":"https://doi.org/10.1145/3686799"},"language":"en","primary_location":{"id":"doi:10.1145/3686799","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3686799","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3686799","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3686799","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008395399","display_name":"Antonio Blanca","orcid":"https://orcid.org/0000-0002-4675-2596"},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Antonio Blanca","raw_affiliation_strings":["Pennsylvania State University, University Park, PA, USA"],"raw_orcid":"https://orcid.org/0000-0002-4675-2596","affiliations":[{"raw_affiliation_string":"Pennsylvania State University, University Park, PA, USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020182392","display_name":"Zongchen Chen","orcid":null},"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":"Zongchen Chen","raw_affiliation_strings":["Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":"https://orcid.org/0009-0003-6112-2888","affiliations":[{"raw_affiliation_string":"Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088287514","display_name":"Daniel \u0160tefankovi\u010d","orcid":"https://orcid.org/0000-0002-4849-7955"},"institutions":[{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel \u0160Tefankovi\u010d","raw_affiliation_strings":["University of Rochester, Rochester, NY, USA"],"raw_orcid":"https://orcid.org/0000-0002-4849-7955","affiliations":[{"raw_affiliation_string":"University of Rochester, Rochester, NY, USA","institution_ids":["https://openalex.org/I5388228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051363868","display_name":"Eric Vigoda","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eric Vigoda","raw_affiliation_strings":["University of California, Santa Barbara, CA, USA"],"raw_orcid":"https://orcid.org/0009-0001-4741-8303","affiliations":[{"raw_affiliation_string":"University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5008395399"],"corresponding_institution_ids":["https://openalex.org/I130769515"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13380906,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":"1","first_page":"1","last_page":"58"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9975000023841858,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9973000288009644,"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":0.6806089282035828},{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.6420691609382629},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.5945301055908203},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5876489281654358},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4904575049877167},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.44213446974754333},{"id":"https://openalex.org/keywords/conditional-entropy","display_name":"Conditional entropy","score":0.43099427223205566},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4302237927913666},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2061980664730072},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.20277446508407593},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13158294558525085},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1114235520362854},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10336950421333313}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6806089282035828},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.6420691609382629},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.5945301055908203},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5876489281654358},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4904575049877167},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.44213446974754333},{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.43099427223205566},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4302237927913666},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2061980664730072},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.20277446508407593},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13158294558525085},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1114235520362854},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10336950421333313},{"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/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","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":1,"locations":[{"id":"doi:10.1145/3686799","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3686799","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3686799","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3686799","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3686799","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3686799","source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4407217800","display_name":"AF: Small: New Techniques for Optimal Bounds on MCMC Algorithms","funder_award_id":"2147094","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5797686714","display_name":"CAREER: Sampling, learning and testing spin systems","funder_award_id":"2143762","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401724403.pdf","grobid_xml":"https://content.openalex.org/works/W4401724403.grobid-xml"},"referenced_works_count":67,"referenced_works":["https://openalex.org/W995408208","https://openalex.org/W1501167079","https://openalex.org/W1770469170","https://openalex.org/W1776308369","https://openalex.org/W1908636725","https://openalex.org/W1967328230","https://openalex.org/W1977162457","https://openalex.org/W1987107795","https://openalex.org/W1989151402","https://openalex.org/W2001556264","https://openalex.org/W2012902191","https://openalex.org/W2033900415","https://openalex.org/W2045535845","https://openalex.org/W2062822698","https://openalex.org/W2104648144","https://openalex.org/W2105433123","https://openalex.org/W2106285343","https://openalex.org/W2120997209","https://openalex.org/W2203041117","https://openalex.org/W2233233025","https://openalex.org/W2407691716","https://openalex.org/W2460522191","https://openalex.org/W2578286516","https://openalex.org/W2586539284","https://openalex.org/W2592411267","https://openalex.org/W2751154306","https://openalex.org/W2762763087","https://openalex.org/W2769478807","https://openalex.org/W2785015228","https://openalex.org/W2799186957","https://openalex.org/W2914011434","https://openalex.org/W2914834722","https://openalex.org/W2950474741","https://openalex.org/W2963597818","https://openalex.org/W2963608890","https://openalex.org/W2966565150","https://openalex.org/W3005225145","https://openalex.org/W3017771636","https://openalex.org/W3018126384","https://openalex.org/W3039487182","https://openalex.org/W3042338675","https://openalex.org/W3043110366","https://openalex.org/W3095281542","https://openalex.org/W3101482641","https://openalex.org/W3102794847","https://openalex.org/W3116442988","https://openalex.org/W3131925548","https://openalex.org/W3136386109","https://openalex.org/W3186482404","https://openalex.org/W3194887815","https://openalex.org/W3210984344","https://openalex.org/W4205463258","https://openalex.org/W4235843391","https://openalex.org/W4236369371","https://openalex.org/W4247413233","https://openalex.org/W4282003860","https://openalex.org/W4287271716","https://openalex.org/W4287813143","https://openalex.org/W4288626254","https://openalex.org/W4297956740","https://openalex.org/W4312817363","https://openalex.org/W4389615669","https://openalex.org/W6600459194","https://openalex.org/W6625842032","https://openalex.org/W6647033434","https://openalex.org/W6713423858","https://openalex.org/W6785082094"],"related_works":["https://openalex.org/W1550757207","https://openalex.org/W2003770568","https://openalex.org/W2186435021","https://openalex.org/W2161963661","https://openalex.org/W2350489049","https://openalex.org/W4229448040","https://openalex.org/W1795191888","https://openalex.org/W4388571699","https://openalex.org/W2187263011","https://openalex.org/W2016372193"],"abstract_inverted_index":{"We":[0,103,134,198,243],"study":[1],"the":[2,33,42,66,79,114,126,173,225,255,262],"identity":[3,36,85,93,127,161,237,259],"testing":[4,37,94,128,162,238,260],"problem":[5,129],"for":[6,27,84,148,164,191,254],"high-dimensional":[7,196],"distributions.":[8,197],"Given":[9],"as":[10,142,185],"input":[11],"an":[12,17,138,149,159],"explicit":[13],"distribution":[14,30,68,153,167],"\\(\\mu\\)":[15,45,154],",":[16,21,32,70,117,155,220],"\\(\\varepsilon":[18],"\\gt":[19],"0\\)":[20],"and":[22,46,87,118,122],"access":[23,61,97],"to":[24,39,62,98,172],"sampling":[25,101,109],"oracle(s)":[26],"a":[28,105,120,182,192,201,206,248],"hidden":[29,67,166],"\\(\\pi\\)":[31,47,69,168],"goal":[34],"in":[35,130,224,261],"is":[38,59,72,158,181,234],"distinguish":[40],"whether":[41],"two":[43],"distributions":[44],"are":[48,51],"identical":[49],"or":[50],"at":[52],"least":[53],"\\(\\varepsilon\\)":[54],"-far":[55],"apart.":[56],"When":[57],"there":[58,157,233],"only":[60],"full":[63],"samples":[64,77],"from":[65],"it":[71,190],"known":[73,141],"that":[74,136,223],"exponentially":[75],"many":[76],"(in":[78],"dimension)":[80],"may":[81],"be":[82],"needed":[83],"testing,":[86],"hence":[88],"previous":[89],"works":[90,187],"have":[91,188],"studied":[92],"with":[95,247],"additional":[96],"various":[99],"\u201cconditional\u201d":[100],"oracles.":[102],"consider":[104],"significantly":[106],"weaker":[107],"conditional":[108],"oracle,":[110],"which":[111],"we":[112,221],"call":[113],"\\(\\mathsf{Coordinate\\":[115,174,263],"Oracle}\\)":[116,175,264],"provide":[119],"computational":[121,202],"statistical":[123,251],"characterization":[124],"of":[125,145,179,195,209,230,258],"this":[131],"new":[132],"model.":[133,265],"prove":[135,200],"if":[137],"analytic":[139],"property":[140],"approximate":[143,228],"tensorization":[144,178,229],"entropy":[146,180,231],"holds":[147],"\\(n\\)":[150,210],"-dimensional":[151,211],"visible":[152],"then":[156],"efficient":[160,236],"algorithm":[163,239],"any":[165],"using":[169],"\\(\\widetilde{O}(n/\\varepsilon)\\)":[170],"queries":[171],".":[176,242],"Approximate":[177],"pertinent":[183],"condition":[184],"recent":[186],"established":[189],"large":[193],"class":[194,208],"also":[199],"phase":[203],"transition:":[204],"For":[205],"well-studied":[207],"distributions,":[212],"specifically":[213],"sparse":[214],"anti-ferromagnetic":[215],"Ising":[216],"models":[217],"over":[218],"\\(\\{+1,-1\\}^{n}\\)":[219],"show":[222],"regime":[226],"where":[227],"fails,":[232],"no":[235],"unless":[240],"\\(\\mathsf{RP}=\\mathsf{NP}\\)":[241],"complement":[244],"our":[245],"results":[246],"matching":[249],"\\(\\Omega(n/\\varepsilon)\\)":[250],"lower":[252],"bound":[253],"sample":[256],"complexity":[257]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}