{"id":"https://openalex.org/W3046823294","doi":"https://doi.org/10.1109/tit.2021.3085773","title":"Consistent Recovery Threshold of Hidden Nearest Neighbor Graphs","display_name":"Consistent Recovery Threshold of Hidden Nearest Neighbor Graphs","publication_year":2021,"publication_date":"2021-06-04","ids":{"openalex":"https://openalex.org/W3046823294","doi":"https://doi.org/10.1109/tit.2021.3085773","mag":"3046823294"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2021.3085773","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2021.3085773","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071559944","display_name":"Jian Ding","orcid":"https://orcid.org/0000-0002-3078-3793"},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]},{"id":"https://openalex.org/I922845939","display_name":"Philadelphia University","ror":"https://ror.org/03zzmyz63","country_code":"US","type":"education","lineage":["https://openalex.org/I922845939"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jian Ding","raw_affiliation_strings":["The Wharton School, University of Pennsylvania, Philadelphia, PA, USA","University of Pennsylvania, Philadelphia, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Wharton School, University of Pennsylvania, Philadelphia, PA, USA","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"University of Pennsylvania, Philadelphia, United States","institution_ids":["https://openalex.org/I79576946","https://openalex.org/I922845939"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yihong Wu","orcid":"https://orcid.org/0000-0001-9239-7671"},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yihong Wu","raw_affiliation_strings":["Yale University, New Haven, CT, USA","Yale University, New Haven, United States"],"raw_orcid":"https://orcid.org/0000-0001-9239-7671","affiliations":[{"raw_affiliation_string":"Yale University, New Haven, CT, USA","institution_ids":["https://openalex.org/I32971472"]},{"raw_affiliation_string":"Yale University, New Haven, United States","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jiaming Xu","orcid":"https://orcid.org/0000-0001-6104-4742"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jiaming Xu","raw_affiliation_strings":["The Fuqua School of Business, Duke University, Durham, NC, USA","Duke University, Durham, United States"],"raw_orcid":"https://orcid.org/0000-0001-6104-4742","affiliations":[{"raw_affiliation_string":"The Fuqua School of Business, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Duke University, Durham, United States","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"last","author":{"id":null,"display_name":"Dana Yang","orcid":"https://orcid.org/0000-0001-9460-569X"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dana Yang","raw_affiliation_strings":["The Fuqua School of Business, Duke University, Durham, NC, USA","Duke University, Durham, United States"],"raw_orcid":"https://orcid.org/0000-0001-9460-569X","affiliations":[{"raw_affiliation_string":"The Fuqua School of Business, Duke University, Durham, NC, USA","institution_ids":["https://openalex.org/I170897317"]},{"raw_affiliation_string":"Duke University, Durham, United States","institution_ids":["https://openalex.org/I170897317"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2601,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62170173,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"67","issue":"8","first_page":"5211","last_page":"5229"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.15790000557899475,"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"}},"topics":[{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.15790000557899475,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.11949999630451202,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear 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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.11420000344514847,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.79620361328125},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.5587940216064453},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5339993238449097},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.5057418346405029},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4723331034183502},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4536537230014801},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4357272982597351},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.43155962228775024}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.79620361328125},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.5587940216064453},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5339993238449097},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.5057418346405029},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4723331034183502},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4536537230014801},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4357272982597351},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.43155962228775024},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2021.3085773","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2021.3085773","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4879764788","display_name":null,"funder_award_id":"IIS-1838124","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5121489785","display_name":null,"funder_award_id":"CCF-1651588","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"},{"id":"https://openalex.org/G5817982381","display_name":null,"funder_award_id":"CCF-1856424","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5941045819","display_name":null,"funder_award_id":"CCF-1900507","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7230345920","display_name":null,"funder_award_id":"CCF-1850743","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8730937112","display_name":null,"funder_award_id":"DMS-1757479","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"},{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1489349053","https://openalex.org/W1605711022","https://openalex.org/W1963509809","https://openalex.org/W1969723574","https://openalex.org/W1979426401","https://openalex.org/W1980606681","https://openalex.org/W1983202741","https://openalex.org/W1985755506","https://openalex.org/W1989324514","https://openalex.org/W1992428442","https://openalex.org/W2022986961","https://openalex.org/W2029242918","https://openalex.org/W2032332507","https://openalex.org/W2037713871","https://openalex.org/W2050715692","https://openalex.org/W2090037139","https://openalex.org/W2097662241","https://openalex.org/W2112090702","https://openalex.org/W2124142520","https://openalex.org/W2125315567","https://openalex.org/W2128678576","https://openalex.org/W2141113219","https://openalex.org/W2166602562","https://openalex.org/W2171074980","https://openalex.org/W2319000796","https://openalex.org/W2344639921","https://openalex.org/W2577691897","https://openalex.org/W2593237279","https://openalex.org/W2913398500","https://openalex.org/W2997404769","https://openalex.org/W3142588439","https://openalex.org/W4213260080","https://openalex.org/W6679822816"],"related_works":["https://openalex.org/W30750922","https://openalex.org/W32827807","https://openalex.org/W25648989","https://openalex.org/W35518381","https://openalex.org/W28972128","https://openalex.org/W4318847","https://openalex.org/W50777533","https://openalex.org/W41478491","https://openalex.org/W28580575","https://openalex.org/W63325702"],"abstract_inverted_index":{"Motivated":[0],"by":[1,202],"applications":[2],"such":[3],"as":[4,78],"discovering":[5],"strong":[6],"ties":[7],"in":[8,15,29,46,187],"social":[9],"networks":[10],"and":[11,39,51,161,215],"assembling":[12],"genome":[13],"subsequences":[14],"biology,":[16],"we":[17,228],"study":[18],"the":[19,47,65,98,109,154,164,188,191,199,235,241],"problem":[20],"of":[21,57,64,74,101,157,193,206],"recovering":[22],"a":[23,62,203,230],"hidden":[24,48,200],"2k-nearest":[25],"neighbor":[26],"(NN)":[27],"graph":[28,50],"an":[30],"n-vertex":[31],"complete":[32],"graph,":[33],"whose":[34],"edge":[35],"weights":[36],"are":[37,86,173],"independent":[38],"distributed":[40],"according":[41],"to":[42,61,92,175,182],"Pn":[43,150],"for":[44,117,132,179,237],"edges":[45,85,103],"2k-NN":[49,194],"Qn":[52],"otherwise.":[53],"The":[54],"special":[55],"case":[56],"Bernoulli":[58],"distributions":[59],"corresponds":[60],"variant":[63],"Watts-Strogatz":[66],"small-world":[67,242],"graph.":[68],"We":[69,106,208],"focus":[70],"on":[71],"two":[72],"types":[73],"asymptotic":[75],"recovery":[76,116,131,239],"guarantees":[77],"n\u2192":[79],"\u221e:":[80],"(1)":[81,114],"exact":[82,96,115,130,224,238],"recovery:":[83,97],"all":[84],"classified":[87],"correctly":[88],"with":[89],"probability":[90],"tending":[91],"one;":[93],"(2)":[94,128],"almost":[95,129],"expected":[99],"number":[100,205],"misclassified":[102],"is":[104,153,163,190],"o(nk).":[105],"show":[107],"that":[108,196,233],"maximum":[110],"likelihood":[111],"estimator":[112],"achieves":[113],"2":[118],"\u2264":[119,121,134,136],"k":[120,135],"no(1)":[122],"if":[123,140],"liminf\\frac":[124,141],"2\u03b1nlogn":[125],">":[126,143],"1;":[127],"1":[133],"o(\\frac":[137],"lognloglogn":[138],")":[139],"kD(Pn||Qn)logn":[142],"1,":[144],"where":[145],"\u03b1n":[146],"\\triangleq":[147],"-2":[148],"log\u222b\u221a{d":[149],"d":[151],"Qn}":[152],"R\u00e9nyi":[155],"divergence":[156],"order":[158],"\\frac":[159],"12":[160],"D(Pn||Qn)":[162],"Kullback-Leibler":[165],"divergence.":[166],"Under":[167],"mild":[168],"distributional":[169],"assumptions,":[170],"these":[171],"conditions":[172,218],"shown":[174],"be":[176],"information-theoretically":[177],"necessary":[178],"any":[180],"algorithm":[181,232],"succeed.":[183],"A":[184],"key":[185],"challenge":[186],"analysis":[189],"enumeration":[192],"graphs":[195],"differ":[197],"from":[198],"one":[201],"given":[204],"edges.":[207],"also":[209],"analyze":[210],"several":[211],"computationally":[212],"efficient":[213],"algorithms":[214],"provide":[216],"sufficient":[217],"under":[219,240],"which":[220],"they":[221],"achieve":[222],"exact/almost":[223],"recovery.":[225],"In":[226],"particular,":[227],"develop":[229],"polynomial-time":[231],"attains":[234],"threshold":[236],"model.":[243]},"counts_by_year":[{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2020-08-07T00:00:00"}