{"id":"https://openalex.org/W2965783911","doi":"https://doi.org/10.24963/ijcai.2019/666","title":"Principal Component Analysis in the Local Differential Privacy Model","display_name":"Principal Component Analysis in the Local Differential Privacy Model","publication_year":2019,"publication_date":"2019-07-28","ids":{"openalex":"https://openalex.org/W2965783911","doi":"https://doi.org/10.24963/ijcai.2019/666","mag":"2965783911"},"language":"en","primary_location":{"id":"doi:10.24963/ijcai.2019/666","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2019/666","pdf_url":"https://www.ijcai.org/proceedings/2019/0666.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.ijcai.org/proceedings/2019/0666.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100401482","display_name":"Di Wang","orcid":"https://orcid.org/0000-0003-4908-0243"},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Di Wang","raw_affiliation_strings":["Department of Computer Science and Engineering, State University of New York at Buffalo, NY, USA","Department of Computer Science and Engineering State University of New York at Buffalo, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, State University of New York at Buffalo, NY, USA","institution_ids":["https://openalex.org/I63190737"]},{"raw_affiliation_string":"Department of Computer Science and Engineering State University of New York at Buffalo, NY, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006945148","display_name":"Jinhui Xu","orcid":"https://orcid.org/0000-0001-5730-9429"},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jinhui Xu","raw_affiliation_strings":["Department of Computer Science and Engineering, State University of New York at Buffalo, NY, USA","Department of Computer Science and Engineering State University of New York at Buffalo, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, State University of New York at Buffalo, NY, USA","institution_ids":["https://openalex.org/I63190737"]},{"raw_affiliation_string":"Department of Computer Science and Engineering State University of New York at Buffalo, NY, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006945148"],"corresponding_institution_ids":["https://openalex.org/I63190737"],"apc_list":null,"apc_paid":null,"fwci":1.3006,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.85671482,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"4795","last_page":"4801"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9965999722480774,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9850000143051147,"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/differential-privacy","display_name":"Differential privacy","score":0.9409134387969971},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.9046611785888672},{"id":"https://openalex.org/keywords/principal-component-analysis","display_name":"Principal component analysis","score":0.8864603638648987},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.8216788172721863},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.616519033908844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6037629842758179},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.5259135961532593},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4832799732685089},{"id":"https://openalex.org/keywords/private-information-retrieval","display_name":"Private information retrieval","score":0.4569461941719055},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.45052629709243774},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39344918727874756},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39167678356170654},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.34672337770462036},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2887645363807678},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0873032808303833},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.07855087518692017}],"concepts":[{"id":"https://openalex.org/C23130292","wikidata":"https://www.wikidata.org/wiki/Q5275358","display_name":"Differential privacy","level":2,"score":0.9409134387969971},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.9046611785888672},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.8864603638648987},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.8216788172721863},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.616519033908844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6037629842758179},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5259135961532593},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4832799732685089},{"id":"https://openalex.org/C99221444","wikidata":"https://www.wikidata.org/wiki/Q1532069","display_name":"Private information retrieval","level":2,"score":0.4569461941719055},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.45052629709243774},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39344918727874756},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39167678356170654},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.34672337770462036},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2887645363807678},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0873032808303833},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.07855087518692017},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.24963/ijcai.2019/666","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2019/666","pdf_url":"https://www.ijcai.org/proceedings/2019/0666.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.24963/ijcai.2019/666","is_oa":true,"landing_page_url":"https://doi.org/10.24963/ijcai.2019/666","pdf_url":"https://www.ijcai.org/proceedings/2019/0666.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Twenty-Eighth International Joint Conference on Artificial Intelligence","raw_type":"proceedings-article"},"sustainable_development_goals":[{"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17","score":0.4300000071525574}],"awards":[{"id":"https://openalex.org/G5150152595","display_name":null,"funder_award_id":"CCF-1716400","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8521929477","display_name":"AF:Small: Novel Geometric Techniques for Several Biomedical Problems","funder_award_id":"1716400","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/W2965783911.pdf","grobid_xml":"https://content.openalex.org/works/W2965783911.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W83404773","https://openalex.org/W1981029888","https://openalex.org/W2004915866","https://openalex.org/W2035076036","https://openalex.org/W2061666414","https://openalex.org/W2103804774","https://openalex.org/W2144190046","https://openalex.org/W2170893332","https://openalex.org/W2260771218","https://openalex.org/W2799223421","https://openalex.org/W2896548965","https://openalex.org/W2902028428","https://openalex.org/W2963809394","https://openalex.org/W3106209397","https://openalex.org/W4239784985","https://openalex.org/W4297730021"],"related_works":["https://openalex.org/W3038283795","https://openalex.org/W2604501336","https://openalex.org/W2734500670","https://openalex.org/W2558166297","https://openalex.org/W2315671126","https://openalex.org/W798507144","https://openalex.org/W2964481303","https://openalex.org/W1751413323","https://openalex.org/W2016058626","https://openalex.org/W2965783911"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,24,53,66],"study":[4],"the":[5,12,20,26,30,35,39,44,47,60,87],"Principal":[6],"Component":[7],"Analysis":[8],"(PCA)":[9],"problem":[10],"under":[11],"(distributed)":[13],"non-interactive":[14],"local":[15],"differential":[16],"privacy":[17],"model.":[18],"For":[19,46],"low":[21],"dimensional":[22,49],"case,":[23,52],"show":[25],"optimal":[27,75],"rate":[28],"for":[29],"private":[31,61],"minimax":[32,62],"risk":[33],"of":[34,90],"k-dimensional":[36],"PCA":[37],"using":[38],"squared":[40],"subspace":[41],"distance":[42],"as":[43],"measurement.":[45],"high":[48],"row":[50],"sparse":[51],"first":[54],"give":[55],"a":[56,73],"lower":[57],"bound":[58],"on":[59,79],"risk,":[63],".":[64],"Then":[65],"provide":[67],"an":[68],"efficient":[69],"algorithm":[70],"to":[71],"achieve":[72],"near":[74],"upper":[76],"bound.":[77],"Experiments":[78],"both":[80],"synthetic":[81],"and":[82],"real":[83],"world":[84],"datasets":[85],"confirm":[86],"theoretical":[88],"guarantees":[89],"our":[91],"algorithms.":[92]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
