{"id":"https://openalex.org/W6891948081","doi":"https://doi.org/10.48550/arxiv.2503.18721","title":"Differentially Private Joint Independence Test","display_name":"Differentially Private Joint Independence Test","publication_year":2025,"publication_date":"2025-03-24","ids":{"openalex":"https://openalex.org/W6891948081","doi":"https://doi.org/10.48550/arxiv.2503.18721"},"language":"en","primary_location":{"id":"doi:10.48550/arxiv.2503.18721","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2503.18721","pdf_url":null,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2503.18721","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Liu, Xingwei","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Liu, Xingwei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Chen, Yuexin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Yuexin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Zhang, Jin-Ting","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Jin-Ting","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Xu, Wangli","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xu, Wangli","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9714000225067139,"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9714000225067139,"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/T11716","display_name":"Random Matrices and Applications","score":0.00800000037997961,"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/T10237","display_name":"Cryptography and Data Security","score":0.003100000089034438,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nucleofection","display_name":"Nucleofection","score":0.4390999972820282},{"id":"https://openalex.org/keywords/tsg101","display_name":"TSG101","score":0.33500000834465027},{"id":"https://openalex.org/keywords/hyporeflexia","display_name":"Hyporeflexia","score":0.322299987077713},{"id":"https://openalex.org/keywords/gestational-period","display_name":"Gestational period","score":0.31619998812675476},{"id":"https://openalex.org/keywords/diafiltration","display_name":"Diafiltration","score":0.3075999915599823},{"id":"https://openalex.org/keywords/liquation","display_name":"Liquation","score":0.2953999936580658},{"id":"https://openalex.org/keywords/articular-cartilage-damage","display_name":"Articular cartilage damage","score":0.29030001163482666}],"concepts":[{"id":"https://openalex.org/C144251240","wikidata":"https://www.wikidata.org/wiki/Q7068229","display_name":"Nucleofection","level":4,"score":0.4390999972820282},{"id":"https://openalex.org/C2778283623","wikidata":"https://www.wikidata.org/wiki/Q18032200","display_name":"TSG101","level":5,"score":0.33500000834465027},{"id":"https://openalex.org/C2777158700","wikidata":"https://www.wikidata.org/wiki/Q1419356","display_name":"Hyporeflexia","level":3,"score":0.322299987077713},{"id":"https://openalex.org/C2992336715","wikidata":"https://www.wikidata.org/wiki/Q63431143","display_name":"Gestational period","level":4,"score":0.31619998812675476},{"id":"https://openalex.org/C18743360","wikidata":"https://www.wikidata.org/wiki/Q1208096","display_name":"Diafiltration","level":4,"score":0.3075999915599823},{"id":"https://openalex.org/C180938184","wikidata":"https://www.wikidata.org/wiki/Q2142270","display_name":"Liquation","level":3,"score":0.2953999936580658},{"id":"https://openalex.org/C2781032047","wikidata":"https://www.wikidata.org/wiki/Q938793","display_name":"Articular cartilage damage","level":5,"score":0.29030001163482666},{"id":"https://openalex.org/C2776356786","wikidata":"https://www.wikidata.org/wiki/Q1048573","display_name":"Tubulopathy","level":3,"score":0.28450000286102295},{"id":"https://openalex.org/C104545631","wikidata":"https://www.wikidata.org/wiki/Q464858","display_name":"Demotion","level":3,"score":0.2825999855995178},{"id":"https://openalex.org/C145741570","wikidata":"https://www.wikidata.org/wiki/Q7251534","display_name":"Proteogenomics","level":5,"score":0.2793999910354614},{"id":"https://openalex.org/C2779627259","wikidata":"https://www.wikidata.org/wiki/Q779763","display_name":"Pretext","level":3,"score":0.2612999975681305},{"id":"https://openalex.org/C135979968","wikidata":"https://www.wikidata.org/wiki/Q609809","display_name":"Protein isoform","level":5,"score":0.26080000400543213},{"id":"https://openalex.org/C2777738910","wikidata":"https://www.wikidata.org/wiki/Q3790542","display_name":"Sulfinpyrazone","level":3,"score":0.25619998574256897}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2503.18721","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2503.18721","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2503.18721","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2503.18721","pdf_url":null,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7797223925590515,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Identification":[0],"of":[1,39,47,51,119,164],"joint":[2,74],"dependence":[3,75],"among":[4],"several":[5],"random":[6],"vectors":[7],"plays":[8],"an":[9,181],"important":[10],"role":[11],"in":[12,36,60,155,194],"many":[13],"statistical":[14],"applications,":[15],"where":[16],"the":[17,30,37,44,48,61,106,116,120,124,131,135,149],"data":[18,192],"may":[19],"contain":[20],"sensitive":[21],"or":[22],"confidential":[23],"information.":[24],"In":[25],"this":[26],"paper,":[27],"we":[28,79,146],"consider":[29],"$d$-variable":[31],"Hilbert-Schmidt":[32],"independence":[33],"criterion":[34],"(dHSIC)":[35],"context":[38],"differential":[40],"privacy.":[41],"Given":[42],"that":[43,93,130,148,185,198],"limiting":[45],"distribution":[46],"empirical":[49],"estimate":[50],"dHSIC":[52,125,152],"is":[53,64,160],"a":[54,81,86,99,144,161],"complicated":[55],"Gaussian":[56],"chaos,":[57],"constructing":[58],"tests":[59],"non-private":[62,150],"regime":[63],"typically":[65],"based":[66],"on":[67],"permutation":[68,89,151,168],"and":[69,102,126,170,177,190],"bootstrap":[70,107],"methods.":[71],"To":[72],"detect":[73],"under":[76,123],"privacy":[77,97,141],"constraints,":[78],"propose":[80],"dHSIC-based":[82],"testing":[83],"procedure":[84],"employing":[85],"differentially":[87,166],"private":[88,167],"methodology.":[90],"We":[91,113],"show":[92,147],"our":[94,165,171,199],"method":[95],"enjoys":[96],"guarantees,":[98],"valid":[100],"level,":[101],"pointwise":[103,176],"consistency,":[104],"whereas":[105],"counterpart":[108],"suffers":[109],"from":[110,184],"inconsistent":[111],"power.":[112],"further":[114],"investigate":[115],"uniform":[117,178],"power":[118,138],"proposed":[121,132,154,200],"test":[122,133,153,201],"$L_2$":[127],"metrics,":[128],"showing":[129],"attains":[134],"minimax":[136],"optimal":[137],"across":[139],"different":[140],"regimes.":[142],"As":[143],"byproduct,":[145],"Pfister":[156],"et":[157],"al.":[158],"(2018)":[159],"special":[162],"case":[163],"test,":[169],"results":[172],"also":[173],"establish":[174],"its":[175],"power--thus":[179],"resolving":[180],"open":[182],"problem":[183],"work.":[186],"Both":[187],"numerical":[188],"simulations":[189],"real":[191],"analysis":[193],"causal":[195],"inference":[196],"suggest":[197],"performs":[202],"well":[203],"empirically.":[204]},"counts_by_year":[],"updated_date":"2026-06-05T06:17:00.636019","created_date":"2025-10-10T00:00:00"}
