{"id":"https://openalex.org/W3091793371","doi":"https://doi.org/10.23919/eusipco47968.2020.9287473","title":"Convex optimization-based Privacy-Preserving Distributed Least Squares via Subspace Perturbation","display_name":"Convex optimization-based Privacy-Preserving Distributed Least Squares via Subspace Perturbation","publication_year":2020,"publication_date":"2020-12-18","ids":{"openalex":"https://openalex.org/W3091793371","doi":"https://doi.org/10.23919/eusipco47968.2020.9287473","mag":"3091793371"},"language":"en","primary_location":{"id":"doi:10.23919/eusipco47968.2020.9287473","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco47968.2020.9287473","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 28th European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://vbn.aau.dk/da/publications/9a72896f-8282-4e5f-939e-9bf9cd0a31e4","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062097625","display_name":"Qiongxiu Li","orcid":"https://orcid.org/0000-0002-2487-5149"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Qiongxiu Li","raw_affiliation_strings":["Audio Analysis Lab, CREATE, Aalborg University, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Audio Analysis Lab, CREATE, Aalborg University, Denmark","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089150994","display_name":"Richard Heusdens","orcid":"https://orcid.org/0000-0001-5998-1550"},"institutions":[{"id":"https://openalex.org/I4210119716","display_name":"Netherlands Defence Academy","ror":"https://ror.org/02dnvjf04","country_code":"NL","type":"facility","lineage":["https://openalex.org/I4210094335","https://openalex.org/I4210119716","https://openalex.org/I4210140876"]},{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Richard Heusdens","raw_affiliation_strings":["Circuits and Systems group, Delft University of Technology, The Netherlands","Netherlands Defence Academy, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Circuits and Systems group, Delft University of Technology, The Netherlands","institution_ids":["https://openalex.org/I98358874"]},{"raw_affiliation_string":"Netherlands Defence Academy, The Netherlands","institution_ids":["https://openalex.org/I4210119716"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026658144","display_name":"Mads Gr\u00e6sb\u00f8ll Christensen","orcid":"https://orcid.org/0000-0003-3586-7969"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Mads Grasboll Christensen","raw_affiliation_strings":["Audio Analysis Lab, CREATE, Aalborg University, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Audio Analysis Lab, CREATE, Aalborg University, Denmark","institution_ids":["https://openalex.org/I891191580"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2110","last_page":"2114"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9966999888420105,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.8378593921661377},{"id":"https://openalex.org/keywords/eavesdropping","display_name":"Eavesdropping","score":0.8003686666488647},{"id":"https://openalex.org/keywords/orthogonal-complement","display_name":"Orthogonal complement","score":0.73924320936203},{"id":"https://openalex.org/keywords/exploit","display_name":"Exploit","score":0.7312284111976624},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6673988103866577},{"id":"https://openalex.org/keywords/information-privacy","display_name":"Information privacy","score":0.5112659931182861},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.46687573194503784},{"id":"https://openalex.org/keywords/topological-graph-theory","display_name":"Topological graph theory","score":0.4637821912765503},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.45056408643722534},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.4474117159843445},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4395187497138977},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42156532406806946},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4167461097240448},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.363797664642334},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2660890221595764},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25439953804016113},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.19678688049316406},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1320488154888153}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.8378593921661377},{"id":"https://openalex.org/C2776788033","wikidata":"https://www.wikidata.org/wiki/Q320769","display_name":"Eavesdropping","level":2,"score":0.8003686666488647},{"id":"https://openalex.org/C154399039","wikidata":"https://www.wikidata.org/wiki/Q1780921","display_name":"Orthogonal complement","level":3,"score":0.73924320936203},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.7312284111976624},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6673988103866577},{"id":"https://openalex.org/C123201435","wikidata":"https://www.wikidata.org/wiki/Q456632","display_name":"Information privacy","level":2,"score":0.5112659931182861},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.46687573194503784},{"id":"https://openalex.org/C157406716","wikidata":"https://www.wikidata.org/wiki/Q4115842","display_name":"Topological graph theory","level":5,"score":0.4637821912765503},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.45056408643722534},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.4474117159843445},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4395187497138977},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42156532406806946},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4167461097240448},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.363797664642334},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2660890221595764},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25439953804016113},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.19678688049316406},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1320488154888153},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.23919/eusipco47968.2020.9287473","is_oa":false,"landing_page_url":"https://doi.org/10.23919/eusipco47968.2020.9287473","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 28th European Signal Processing Conference (EUSIPCO)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.atira.dk:openaire/9a72896f-8282-4e5f-939e-9bf9cd0a31e4","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/9a72896f-8282-4e5f-939e-9bf9cd0a31e4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Li, Q, Heusdens, R & Christensen, M G 2021, Convex optimization-based Privacy-Preserving Distributed Least Squares via Subspace Perturbation. in 28th European Signal Processing Conference (EUSIPCO)., 9287473, IEEE (Institute of Electrical and Electronics Engineers), Proceedings of the European Signal Processing Conference, pp. 2110-2114, 2020 28th European Signal Processing Conference (EUSIPCO), Amsterdam, Netherlands, 18/01/2021. https://doi.org/10.23919/Eusipco47968.2020.9287473","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:tudelft.nl:uuid:42a63d75-b3c8-4c14-b9b0-e676586a86ae","is_oa":false,"landing_page_url":"http://resolver.tudelft.nl/uuid:42a63d75-b3c8-4c14-b9b0-e676586a86ae","pdf_url":null,"source":{"id":"https://openalex.org/S4306400906","display_name":"Research Repository (Delft University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98358874","host_organization_name":"Delft University of Technology","host_organization_lineage":["https://openalex.org/I98358874"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference paper"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:openaire/9a72896f-8282-4e5f-939e-9bf9cd0a31e4","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/9a72896f-8282-4e5f-939e-9bf9cd0a31e4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Li, Q, Heusdens, R & Christensen, M G 2021, Convex optimization-based Privacy-Preserving Distributed Least Squares via Subspace Perturbation. in 28th European Signal Processing Conference (EUSIPCO)., 9287473, IEEE (Institute of Electrical and Electronics Engineers), Proceedings of the European Signal Processing Conference, pp. 2110-2114, 2020 28th European Signal Processing Conference (EUSIPCO), Amsterdam, Netherlands, 18/01/2021. https://doi.org/10.23919/Eusipco47968.2020.9287473","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7400000095367432,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1556911442","https://openalex.org/W1971991172","https://openalex.org/W1979170109","https://openalex.org/W2060036647","https://openalex.org/W2092148937","https://openalex.org/W2138865266","https://openalex.org/W2402235285","https://openalex.org/W2590701476","https://openalex.org/W2766831133","https://openalex.org/W2787117458","https://openalex.org/W2791549621","https://openalex.org/W2794624686","https://openalex.org/W2795097198","https://openalex.org/W2963112534","https://openalex.org/W2963395927","https://openalex.org/W2968395458","https://openalex.org/W3103874927","https://openalex.org/W6739072481"],"related_works":["https://openalex.org/W2368710903","https://openalex.org/W4386360526","https://openalex.org/W2772112465","https://openalex.org/W4387918499","https://openalex.org/W2158905603","https://openalex.org/W2766105476","https://openalex.org/W2735171729","https://openalex.org/W2786267942","https://openalex.org/W2769254131","https://openalex.org/W3091793371"],"abstract_inverted_index":{"Over":[0],"the":[1,18,24,29,40,66,71,83,105,109,114,127,144,147],"past":[2],"decades,":[3],"privacy-preservation":[4,102],"has":[5],"received":[6],"considerable":[7],"attention,":[8],"not":[9,88],"only":[10,76],"as":[11,17,39],"a":[12,51,79],"consequence":[13],"of":[14,69,108,146],"regulations":[15],"such":[16],"General":[19],"Data":[20],"Protection":[21],"Regulation":[22],"in":[23,78,90],"EU,":[25],"but":[26],"also":[27],"from":[28,120],"fact":[30],"that":[31,126],"people":[32],"are":[33,140],"more":[34],"concerned":[35],"about":[36],"data":[37],"abuse":[38],"world":[41],"is":[42,130],"becoming":[43],"increasingly":[44],"digitized.":[45],"In":[46],"this":[47,99],"paper":[48],"we":[49,124],"propose":[50,96],"convex":[52],"optimization-based":[53],"subspace":[54,80],"perturbation":[55],"approach":[56,129,149],"to":[57,97,112,142],"solve":[58],"privacy-preserving":[59],"distributed":[60],"least":[61],"squares":[62],"problems.":[63],"Based":[64],"on":[65],"primal-dual":[67],"method":[68],"multipliers,":[70],"introduced":[72],"dual":[73,110],"variables":[74,111],"will":[75],"converge":[77,89],"determined":[81],"by":[82,103],"graph":[84],"topology":[85],"and":[86,135,154],"do":[87],"its":[91,151],"orthogonal":[92],"complement.":[93],"We,":[94],"therefore,":[95],"exploit":[98],"property":[100],"for":[101],"using":[104],"nonconverging":[106],"part":[107],"perturb":[113],"private":[115],"data,":[116],"thereby":[117],"protecting":[118],"it":[119],"being":[121],"revealed.":[122],"Moreover,":[123],"prove":[125],"proposed":[128,148],"secure":[131],"under":[132],"both":[133],"eavesdropping":[134],"passive":[136],"adversaries.":[137],"Computer":[138],"simulations":[139],"conducted":[141],"demonstrate":[143],"benefits":[145],"through":[150],"convergence":[152],"properties":[153],"accuracy.":[155]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}