{"id":"https://openalex.org/W2536321319","doi":"https://doi.org/10.1109/wifs.2013.6707794","title":"Secure Evaluation of Private Functions through Piecewise Linear Approximation","display_name":"Secure Evaluation of Private Functions through Piecewise Linear Approximation","publication_year":2013,"publication_date":"2013-11-01","ids":{"openalex":"https://openalex.org/W2536321319","doi":"https://doi.org/10.1109/wifs.2013.6707794","mag":"2536321319"},"language":"en","primary_location":{"id":"doi:10.1109/wifs.2013.6707794","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wifs.2013.6707794","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Workshop on Information Forensics and Security (WIFS)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011222101","display_name":"Riccardo Lazzeretti","orcid":"https://orcid.org/0000-0003-3835-9679"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Riccardo Lazzeretti","raw_affiliation_strings":["Information Engineering and Mathematical Science Department, University of Siena, Siena, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Engineering and Mathematical Science Department, University of Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072800498","display_name":"Tommaso Pignata","orcid":null},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Tommaso Pignata","raw_affiliation_strings":["Information Engineering and Mathematical Science Department, University of Siena, Siena, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Engineering and Mathematical Science Department, University of Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007836692","display_name":"Mauro Barni","orcid":"https://orcid.org/0000-0002-7368-0866"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mauro Barni","raw_affiliation_strings":["Information Engineering and Mathematical Science Department, University of Siena, Siena, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Engineering and Mathematical Science Department, University of Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I102064193"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":null,"first_page":"55","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9998999834060669,"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/T10237","display_name":"Cryptography and Data Security","score":0.9998999834060669,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9954000115394592,"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/T12122","display_name":"Physical Unclonable Functions (PUFs) and Hardware Security","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/boolean-function","display_name":"Boolean function","score":0.6523106098175049},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6398488283157349},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5737968683242798},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5602460503578186},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.5426597595214844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5344839096069336},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5329132080078125},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5066264271736145},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.5046037435531616},{"id":"https://openalex.org/keywords/secure-multi-party-computation","display_name":"Secure multi-party computation","score":0.47969934344291687},{"id":"https://openalex.org/keywords/function-approximation","display_name":"Function approximation","score":0.4410412013530731},{"id":"https://openalex.org/keywords/secure-two-party-computation","display_name":"Secure two-party computation","score":0.4398552179336548},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4311390519142151},{"id":"https://openalex.org/keywords/security-parameter","display_name":"Security parameter","score":0.4204961657524109},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37343013286590576},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32984459400177},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.2887888550758362},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28016284108161926},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09337198734283447}],"concepts":[{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6523106098175049},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6398488283157349},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5737968683242798},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5602460503578186},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.5426597595214844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5344839096069336},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5329132080078125},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5066264271736145},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.5046037435531616},{"id":"https://openalex.org/C18396474","wikidata":"https://www.wikidata.org/wiki/Q2465888","display_name":"Secure multi-party computation","level":3,"score":0.47969934344291687},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.4410412013530731},{"id":"https://openalex.org/C13652956","wikidata":"https://www.wikidata.org/wiki/Q7444883","display_name":"Secure two-party computation","level":4,"score":0.4398552179336548},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4311390519142151},{"id":"https://openalex.org/C2776711565","wikidata":"https://www.wikidata.org/wiki/Q7445058","display_name":"Security parameter","level":3,"score":0.4204961657524109},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37343013286590576},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32984459400177},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.2887888550758362},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28016284108161926},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09337198734283447},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"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/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"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":3,"locations":[{"id":"doi:10.1109/wifs.2013.6707794","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wifs.2013.6707794","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Workshop on Information Forensics and Security (WIFS)","raw_type":"proceedings-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/967165","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/967165","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:usiena-air.unisi.it:11365/46350","is_oa":false,"landing_page_url":"http://hdl.handle.net/11365/46350","pdf_url":null,"source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals","score":0.6100000143051147}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W104209573","https://openalex.org/W142017860","https://openalex.org/W179458199","https://openalex.org/W1496124759","https://openalex.org/W1497332869","https://openalex.org/W1772045830","https://openalex.org/W1826277484","https://openalex.org/W1982146060","https://openalex.org/W2002616520","https://openalex.org/W2027471022","https://openalex.org/W2050770647","https://openalex.org/W2052836530","https://openalex.org/W2054435137","https://openalex.org/W2088492763","https://openalex.org/W2099953837","https://openalex.org/W2127173670","https://openalex.org/W2130051287","https://openalex.org/W2132172731","https://openalex.org/W2540425788","https://openalex.org/W4255514781","https://openalex.org/W6645909193"],"related_works":["https://openalex.org/W2886283651","https://openalex.org/W4293056000","https://openalex.org/W2952477979","https://openalex.org/W2952662274","https://openalex.org/W4365143614","https://openalex.org/W2188119083","https://openalex.org/W4206242289","https://openalex.org/W2990282446","https://openalex.org/W1576843907","https://openalex.org/W2979421064"],"abstract_inverted_index":{"While":[0],"Secure":[1,42],"Multy-Party":[2],"Computation":[3],"is":[4,81,96,125],"a":[5,32,58,62,66,100],"well":[6],"known":[7],"solution":[8],"for":[9],"cooperative":[10],"function":[11,60,80],"evaluation":[12],"on":[13,35],"private":[14],"inputs,":[15],"few":[16],"solutions":[17],"exist":[18],"that":[19,70],"also":[20],"permit":[21],"to":[22,40,56,102,136],"protect":[23],"the":[24,75,85,88,113,120,123,128,137,147],"to-be-evaluated":[25],"function.":[26],"In":[27],"this":[28],"paper,":[29],"we":[30],"propose":[31],"solution,":[33],"based":[34],"Garbled":[36,117],"Circuit":[37],"(GC)":[38],"theory,":[39,119],"provide":[41],"Function":[43],"Evaluation":[44],"of":[45,68,87,93,109,122,132,146],"semi-Private":[46],"Functions":[47],"through":[48,61],"Piecewise":[49],"Linear":[50],"Approximation":[51],"(PLA).":[52],"We":[53],"show":[54],"how":[55],"approximate":[57],"generic":[59],"PLA":[63],"chosen":[64,89],"in":[65,98],"set":[67],"functions":[69,95,134],"can":[71],"be":[72],"implemented":[73],"with":[74,112,143],"same":[76],"Boolean":[77],"circuit.":[78],"The":[79,91,140],"protected":[82],"by":[83,107,116,127],"hiding":[84],"coefficients":[86],"PLA.":[90],"class":[92],"approximating":[94,133],"defined":[97],"such":[99],"way":[101],"allow":[103],"an":[104,144],"efficient":[105],"implementation":[106],"means":[108],"GC's.":[110],"Together":[111],"security":[114,121],"provided":[115],"Circuits":[118],"protocol":[124,153],"ensured":[126],"very":[129],"large":[130],"number":[131],"belonging":[135],"PLA's":[138],"set.":[139],"paper":[141],"ends":[142],"investigation":[145],"trade-off":[148],"between":[149],"approximation":[150],"accuracy":[151],"and":[152],"settings.":[154]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
