{"id":"https://openalex.org/W7106223772","doi":"https://doi.org/10.48550/arxiv.2511.15051","title":"Mutual Information Bounds in the Shuffle Model","display_name":"Mutual Information Bounds in the Shuffle Model","publication_year":2025,"publication_date":"2025-11-19","ids":{"openalex":"https://openalex.org/W7106223772","doi":"https://doi.org/10.48550/arxiv.2511.15051"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2511.15051","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2511.15051","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":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2511.15051","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Su, Pengcheng","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Su, Pengcheng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Cheng, Haibo","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cheng, Haibo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Wang, Ping","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Ping","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"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":false,"primary_topic":{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.67330002784729,"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":0.67330002784729,"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/T10237","display_name":"Cryptography and Data Security","score":0.1459999978542328,"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/T11598","display_name":"Internet Traffic Analysis and Secure E-voting","score":0.04479999840259552,"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/shuffling","display_name":"Shuffling","score":0.8791000247001648},{"id":"https://openalex.org/keywords/differential-privacy","display_name":"Differential privacy","score":0.6952999830245972},{"id":"https://openalex.org/keywords/mutual-information","display_name":"Mutual information","score":0.5512999892234802},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.541100025177002},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4999000132083893},{"id":"https://openalex.org/keywords/random-permutation","display_name":"Random permutation","score":0.4846999943256378},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.4733999967575073},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.42480000853538513}],"concepts":[{"id":"https://openalex.org/C167927819","wikidata":"https://www.wikidata.org/wiki/Q1930567","display_name":"Shuffling","level":2,"score":0.8791000247001648},{"id":"https://openalex.org/C23130292","wikidata":"https://www.wikidata.org/wiki/Q5275358","display_name":"Differential privacy","level":2,"score":0.6952999830245972},{"id":"https://openalex.org/C152139883","wikidata":"https://www.wikidata.org/wiki/Q252973","display_name":"Mutual information","level":2,"score":0.5512999892234802},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.541100025177002},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5408999919891357},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5189999938011169},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4999000132083893},{"id":"https://openalex.org/C200985842","wikidata":"https://www.wikidata.org/wiki/Q3375503","display_name":"Random permutation","level":3,"score":0.4846999943256378},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.4733999967575073},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.42480000853538513},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4194999933242798},{"id":"https://openalex.org/C2779201187","wikidata":"https://www.wikidata.org/wiki/Q2775060","display_name":"Information leakage","level":2,"score":0.41690000891685486},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40130001306533813},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.3912000060081482},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.37540000677108765},{"id":"https://openalex.org/C99221444","wikidata":"https://www.wikidata.org/wiki/Q1532069","display_name":"Private information retrieval","level":2,"score":0.3375999927520752},{"id":"https://openalex.org/C124805900","wikidata":"https://www.wikidata.org/wiki/Q5159269","display_name":"Conditional mutual information","level":3,"score":0.30399999022483826},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.29499998688697815},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28380000591278076},{"id":"https://openalex.org/C123201435","wikidata":"https://www.wikidata.org/wiki/Q456632","display_name":"Information privacy","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C2983568541","wikidata":"https://www.wikidata.org/wiki/Q389772","display_name":"Information transmission","level":2,"score":0.2818000018596649},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.2676999866962433},{"id":"https://openalex.org/C2777622855","wikidata":"https://www.wikidata.org/wiki/Q7901844","display_name":"User information","level":3,"score":0.2639000117778778},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.25130000710487366}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2511.15051","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2511.15051","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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2511.15051","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2511.15051","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":"Preprint"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5531387329101562}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0],"shuffle":[1,22,194],"model":[2,23],"enhances":[3],"privacy":[4,196],"by":[5,69],"anonymizing":[6],"users'":[7,114],"reports":[8],"through":[9],"random":[10,72],"permutation.":[11],"This":[12],"paper":[13],"presents":[14],"the":[15,20,32,44,65,81,90,103,112,130,156,175],"first":[16,50],"systematic":[17],"study":[18],"of":[19,83],"single-message":[21],"from":[24,119],"an":[25,172],"information-theoretic":[26,161],"perspective.":[27],"We":[28,125],"analyze":[29],"two":[30],"regimes:":[31],"shuffle-only":[33,91],"setting,":[34,46,92,158],"where":[35,47,102],"each":[36,48,169],"user":[37,49,84,153,170],"directly":[38],"submits":[39],"its":[40],"message":[41,86,106],"($Y_i=X_i$),":[42],"and":[43,75,111,135,141,183,197],"shuffle-DP":[45,157],"applies":[51,171],"a":[52,70,96],"local":[53],"$\\varepsilon_0$-differentially":[54],"private":[55],"mechanism":[56],"before":[57],"shuffling":[58],"($Y_i=\\mathcal{R}(X_i)$).":[59],"Let":[60],"$\\boldsymbol{Z}":[61],"=":[62,78],"(Y_{\u03c3(i)})_i$":[63],"denote":[64],"shuffled":[66],"sequence":[67],"produced":[68],"uniformly":[71],"permutation":[73],"$\u03c3$,":[74],"let":[76],"$K":[77],"\u03c3^{-1}(1)$":[79],"represent":[80],"position":[82],"1's":[85],"after":[87],"shuffling.":[88],"For":[89,155],"we":[93,159],"focus":[94],"on":[95,164],"tractable":[97],"yet":[98],"expressive":[99],"\\emph{basic":[100],"configuration},":[101],"target":[104],"user's":[105],"follows":[107],"$Y_1":[108],"\\sim":[109,123],"P$":[110],"remaining":[113],"messages":[115],"are":[116],"i.i.d.\\":[117],"samples":[118],"$Q$,":[120],"i.e.,":[121],"$Y_2,\\dots,Y_n":[122],"Q$.":[124],"derive":[126],"asymptotic":[127],"expressions":[128],"for":[129],"mutual":[131],"information":[132,166],"quantities":[133],"$I(Y_1;\\boldsymbol{Z})$":[134],"$I(K;\\boldsymbol{Z})$":[136],"as":[137],"$n":[138],"\\to":[139],"\\infty$,":[140],"demonstrate":[142],"how":[143],"this":[144],"analytical":[145],"framework":[146],"naturally":[147],"extends":[148],"to":[149],"settings":[150],"with":[151],"heterogeneous":[152],"distributions.":[154],"establish":[160],"upper":[162],"bounds":[163],"total":[165],"leakage.":[167],"When":[168],"$\\varepsilon_0$-DP":[173],"mechanism,":[174],"overall":[176],"leakage":[177],"satisfies":[178],"$I(K;":[179],"\\boldsymbol{Z})":[180],"\\le":[181,187],"2\\varepsilon_0$":[182],"$I(X_1;":[184],"\\boldsymbol{Z}\\mid":[185],"(X_i)_{i=2}^n)":[186],"(e^{\\varepsilon_0}-1)/(2n)":[188],"+":[189],"O(n^{-3/2})$.":[190],"These":[191],"results":[192],"bridge":[193],"differential":[195],"mutual-information-based":[198],"privacy.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2025-11-23T00:00:00"}