{"id":"https://openalex.org/W4308008203","doi":"https://doi.org/10.29012/jpc.809","title":"Representing Sparse Vectors with Differential Privacy, Low Error, Optimal Space, and Fast Access","display_name":"Representing Sparse Vectors with Differential Privacy, Low Error, Optimal Space, and Fast Access","publication_year":2022,"publication_date":"2022-11-01","ids":{"openalex":"https://openalex.org/W4308008203","doi":"https://doi.org/10.29012/jpc.809"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.29012/jpc.809","pdf_url":"https://journalprivacyconfidentiality.org/index.php/jpc/article/download/809/739","source":{"id":"https://openalex.org/S4210191919","display_name":"Journal of Privacy and Confidentiality","issn_l":"2575-8527","issn":["2575-8527"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://journalprivacyconfidentiality.org/index.php/jpc/article/download/809/739","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072434673","display_name":"Martin Aum\u00fcller","orcid":"https://orcid.org/0000-0002-7212-6476"},"institutions":[{"id":"https://openalex.org/I83467386","display_name":"IT University of Copenhagen","ror":"https://ror.org/02309jg23","country_code":"DK","type":"education","lineage":["https://openalex.org/I83467386"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Martin Aum\u00fcller","raw_affiliation_strings":["IT University of Copenhagen"],"affiliations":[{"raw_affiliation_string":"IT University of Copenhagen","institution_ids":["https://openalex.org/I83467386"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114034833","display_name":"Christian Janos Lebeda","orcid":null},"institutions":[{"id":"https://openalex.org/I83467386","display_name":"IT University of Copenhagen","ror":"https://ror.org/02309jg23","country_code":"DK","type":"education","lineage":["https://openalex.org/I83467386"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Christian Janos Lebeda","raw_affiliation_strings":["BARC and IT University of Copenhagen"],"affiliations":[{"raw_affiliation_string":"BARC and IT University of Copenhagen","institution_ids":["https://openalex.org/I83467386"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014293815","display_name":"Rasmus Pagh","orcid":"https://orcid.org/0000-0002-1516-9306"},"institutions":[{"id":"https://openalex.org/I42066560","display_name":"Barco (Belgium)","ror":"https://ror.org/05gcat543","country_code":"BE","type":"company","lineage":["https://openalex.org/I42066560"]},{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["BE","DK"],"is_corresponding":false,"raw_author_name":"Rasmus Pagh","raw_affiliation_strings":["BARC and University of Copenhagen"],"affiliations":[{"raw_affiliation_string":"BARC and University of Copenhagen","institution_ids":["https://openalex.org/I42066560","https://openalex.org/I124055696"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":0,"currency":"USD","value_usd":0,"provenance":"doaj"},"apc_paid":null,"fwci":0.407,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":2,"citation_normalized_percentile":{"value":0.751268,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":72,"max":77},"biblio":{"volume":"12","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Techniques for Data Analysis and Machine Learning","score":0.9965,"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 Techniques for Data Analysis and Machine Learning","score":0.9965,"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/T13030","display_name":"Statistical Methods for Sensitive Survey Questions","score":0.9269,"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/T11612","display_name":"Optimization Methods in Machine Learning","score":0.9109,"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/approximation-algorithms","display_name":"Approximation Algorithms","score":0.571886},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex Optimization","score":0.546301},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5376007},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.52905786},{"id":"https://openalex.org/keywords/differential-privacy","display_name":"Differential Privacy","score":0.524463},{"id":"https://openalex.org/keywords/large-scale-optimization","display_name":"Large-Scale Optimization","score":0.505044},{"id":"https://openalex.org/keywords/random-projection","display_name":"Random projection","score":0.50271535},{"id":"https://openalex.org/keywords/k-independent-hashing","display_name":"K-independent hashing","score":0.43026984}],"concepts":[{"id":"https://openalex.org/C23130292","wikidata":"https://www.wikidata.org/wiki/Q5275358","display_name":"Differential privacy","level":2,"score":0.8433384},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.5854988},{"id":"https://openalex.org/C183057437","wikidata":"https://www.wikidata.org/wiki/Q671617","display_name":"Laplace distribution","level":3,"score":0.56994706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5397637},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5376007},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.52905786},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5192283},{"id":"https://openalex.org/C2777036070","wikidata":"https://www.wikidata.org/wiki/Q18393452","display_name":"Random projection","level":2,"score":0.50271535},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.4431389},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4400949},{"id":"https://openalex.org/C187062812","wikidata":"https://www.wikidata.org/wiki/Q6322840","display_name":"K-independent hashing","level":5,"score":0.43026984},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40951273},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40413514},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33217353},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.31587362},{"id":"https://openalex.org/C87431388","wikidata":"https://www.wikidata.org/wiki/Q2070573","display_name":"Perfect hash function","level":4,"score":0.25219765},{"id":"https://openalex.org/C67388219","wikidata":"https://www.wikidata.org/wiki/Q207440","display_name":"Hash table","level":3,"score":0.17602563},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17510152},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.29012/jpc.809","pdf_url":"https://journalprivacyconfidentiality.org/index.php/jpc/article/download/809/739","source":{"id":"https://openalex.org/S4210191919","display_name":"Journal of Privacy and Confidentiality","issn_l":"2575-8527","issn":["2575-8527"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":false,"landing_page_url":"https://doaj.org/article/960ec368602e43f7a1bb92169f180d2e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.29012/jpc.809","pdf_url":"https://journalprivacyconfidentiality.org/index.php/jpc/article/download/809/739","source":{"id":"https://openalex.org/S4210191919","display_name":"Journal of Privacy and Confidentiality","issn_l":"2575-8527","issn":["2575-8527"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[{"score":0.43,"display_name":"Peace, justice, and strong institutions","id":"https://metadata.un.org/sdg/16"}],"grants":[],"datasets":[],"versions":[],"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4385945597","https://openalex.org/W4385694606","https://openalex.org/W4312054394","https://openalex.org/W4297752560","https://openalex.org/W4281746901","https://openalex.org/W3091150767","https://openalex.org/W2995171315","https://openalex.org/W2742699808","https://openalex.org/W2254375831","https://openalex.org/W192568510"],"abstract_inverted_index":{"
":[0,62,150],"Representing":[1],"a":[2,8,12,115,145],"sparse":[3,9],"histogram,":[4],"or":[5],"more":[6],"generally":[7],"vector,":[10],"is":[11,80,114,133],"fundamental":[13],"task":[14],"in":[15,48,137],"differential":[16],"privacy.
":[17],"An":[18],"ideal":[19],"solution":[20],"would":[21],"use":[22],"space":[23,87],"close":[24],"to":[25,46,82,89,94,107,124,143],"information-theoretical":[26],"lower":[27],"bounds,":[28],"have":[29,54,84],"an":[30],"error":[31,98],"distribution":[32],"that":[33,161],"depends":[34],"optimally":[35],"on":[36,165],"the":[37,49,68,100,104,138,162,166,176],"desired":[38],"privacy":[39],"level,":[40],"and":[41,97],"allow":[42],"fast":[43,92],"random":[44],"access":[45,93],"entries":[47],"vector.
":[50],"However,":[51],"existing":[52],"approaches":[53],"only":[55],"achieved":[56],"two":[57],"of":[58,99,118,140,175],"these":[59],"three":[60],"goals.
":[61],"In":[63],"this":[64],"paper":[65],"we":[66,122],"introduce":[67],"Approximate":[69],"Laplace":[70],"Projection":[71],"(ALP)":[72],"mechanism":[73,79],"for":[74],"approximating":[75],"k-sparse":[76],"vectors.":[77],"This":[78,131],"shown":[81],"simultaneously":[83],"information-theoretically":[85],"optimal":[86],"(up":[88],"constant":[90,163],"factors),":[91],"vector":[95],"entries,":[96],"same":[101],"magnitude":[102],"as":[103],"Laplace-mechanism":[105],"applied":[106],"dense":[108],"vectors.
":[109],"A":[110],"key":[111],"new":[112],"technique":[113],"unary":[116],"representation":[117,132],"small":[119],"integers,":[120],"which":[121,159],"show":[123,160],"be":[125],"robust":[126],"against":[127],"''randomized":[128],"response''":[129],"noise.":[130],"combined":[134],"with":[135],"hashing,":[136],"spirit":[139],"Bloom":[141],"filters,":[142],"obtain":[144],"space-efficient,":[146],"differentially":[147],"private":[148],"representation.
":[149],"Our":[151],"theoretical":[152],"performance":[153,168],"bounds":[154],"are":[155,170],"complemented":[156],"by":[157],"simulations":[158],"factors":[164],"main":[167],"parameters":[169],"quite":[171],"small,":[172],"suggesting":[173],"practicality":[174],"technique.
":[177]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4308008203","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2024-10-17T18:52:37.792372","created_date":"2022-11-07"}
