{"id":"https://openalex.org/W1695888583","doi":"https://doi.org/10.1109/tifs.2015.2503268","title":"Piecewise Function Approximation With Private Data","display_name":"Piecewise Function Approximation With Private Data","publication_year":2015,"publication_date":"2015-11-24","ids":{"openalex":"https://openalex.org/W1695888583","doi":"https://doi.org/10.1109/tifs.2015.2503268","mag":"1695888583"},"language":"en","primary_location":{"id":"doi:10.1109/tifs.2015.2503268","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tifs.2015.2503268","pdf_url":null,"source":{"id":"https://openalex.org/S61310614","display_name":"IEEE Transactions on Information Forensics and Security","issn_l":"1556-6013","issn":["1556-6013","1556-6021"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Forensics and Security","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1503.05144","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"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":["Department of Information Engineering and Mathematics, University of Siena, Siena, Italy"],"raw_orcid":"https://orcid.org/0000-0003-3835-9679","affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Mathematics, University of Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"middle","author":{"id":null,"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":["Department of Information Engineering and Mathematics, University of Siena, Siena, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Mathematics, University of Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]},{"author_position":"last","author":{"id":null,"display_name":"Mauro Barni","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":"Mauro Barni","raw_affiliation_strings":["Department of Information Engineering and Mathematics, University of Siena, Siena, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Mathematics, 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":0.8731,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.8192799,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"11","issue":"3","first_page":"642","last_page":"657"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9915000200271606,"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":0.9915000200271606,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.0027000000700354576,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.0013000000035390258,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/piecewise","display_name":"Piecewise","score":0.7929999828338623},{"id":"https://openalex.org/keywords/homomorphic-encryption","display_name":"Homomorphic encryption","score":0.6284999847412109},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5709999799728394},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5351999998092651},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.517799973487854},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.5169000029563904},{"id":"https://openalex.org/keywords/piecewise-linear-manifold","display_name":"Piecewise linear manifold","score":0.5152000188827515},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.48170000314712524},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.42820000648498535}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7929999828338623},{"id":"https://openalex.org/C158338273","wikidata":"https://www.wikidata.org/wiki/Q2154943","display_name":"Homomorphic encryption","level":3,"score":0.6284999847412109},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.585099995136261},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5709999799728394},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5351999998092651},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.517799973487854},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.5169000029563904},{"id":"https://openalex.org/C184175843","wikidata":"https://www.wikidata.org/wiki/Q7191425","display_name":"Piecewise linear manifold","level":3,"score":0.5152000188827515},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.48170000314712524},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.42820000648498535},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.426800012588501},{"id":"https://openalex.org/C91873725","wikidata":"https://www.wikidata.org/wiki/Q3445816","display_name":"Function approximation","level":3,"score":0.42239999771118164},{"id":"https://openalex.org/C179145077","wikidata":"https://www.wikidata.org/wiki/Q5154130","display_name":"Communication complexity","level":2,"score":0.3977999985218048},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3707999885082245},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.3686999976634979},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.35199999809265137},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3517000079154968},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.3449000120162964},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3343000113964081},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33239999413490295},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3248000144958496},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.30320000648498535},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.2971000075340271},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.2957000136375427},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.28940001130104065},{"id":"https://openalex.org/C18396474","wikidata":"https://www.wikidata.org/wiki/Q2465888","display_name":"Secure multi-party computation","level":3,"score":0.2874000072479248},{"id":"https://openalex.org/C2780746774","wikidata":"https://www.wikidata.org/wiki/Q17014981","display_name":"Functional encryption","level":4,"score":0.2822999954223633},{"id":"https://openalex.org/C153658351","wikidata":"https://www.wikidata.org/wiki/Q746264","display_name":"Constant function","level":3,"score":0.2782000005245209},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.27810001373291016},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2565999925136566}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tifs.2015.2503268","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tifs.2015.2503268","pdf_url":null,"source":{"id":"https://openalex.org/S61310614","display_name":"IEEE Transactions on Information Forensics and Security","issn_l":"1556-6013","issn":["1556-6013","1556-6021"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Forensics and Security","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1503.05144","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1503.05144","pdf_url":"https://arxiv.org/pdf/1503.05144","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:iris.uniroma1.it:11573/967171","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/967171","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/article"},{"id":"pmh:oai:usiena-air.unisi.it:11365/1006811","is_oa":false,"landing_page_url":"http://hdl.handle.net/11365/1006811","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/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1503.05144","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1503.05144","pdf_url":"https://arxiv.org/pdf/1503.05144","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W22966364","https://openalex.org/W179458199","https://openalex.org/W645926012","https://openalex.org/W780859780","https://openalex.org/W924029577","https://openalex.org/W1480491915","https://openalex.org/W1497332869","https://openalex.org/W1534636449","https://openalex.org/W1819119697","https://openalex.org/W1826277484","https://openalex.org/W2000077104","https://openalex.org/W2004022907","https://openalex.org/W2024387789","https://openalex.org/W2027471022","https://openalex.org/W2031533839","https://openalex.org/W2050770647","https://openalex.org/W2063957645","https://openalex.org/W2085400724","https://openalex.org/W2088492763","https://openalex.org/W2110797877","https://openalex.org/W2130051287","https://openalex.org/W2132172731","https://openalex.org/W2134340933","https://openalex.org/W2142432849","https://openalex.org/W2144752539","https://openalex.org/W2147668280","https://openalex.org/W2156030242","https://openalex.org/W2160435515","https://openalex.org/W2173120240","https://openalex.org/W2402235285","https://openalex.org/W2532025218","https://openalex.org/W2536321319","https://openalex.org/W2540425788","https://openalex.org/W2541908795","https://openalex.org/W2543549542","https://openalex.org/W2544957723","https://openalex.org/W3141585064","https://openalex.org/W4232836212","https://openalex.org/W4298876635","https://openalex.org/W6606928740","https://openalex.org/W6622512067","https://openalex.org/W6624526749","https://openalex.org/W6630306774","https://openalex.org/W6631070857","https://openalex.org/W6631177534","https://openalex.org/W6639221033","https://openalex.org/W6655225227","https://openalex.org/W6663781528","https://openalex.org/W6677829731","https://openalex.org/W6677934245","https://openalex.org/W6712193006"],"related_works":[],"abstract_inverted_index":{"We":[0],"present":[1],"two":[2,4],"secure":[3],"party":[5],"computation":[6],"(STPC)":[7],"protocols":[8,17],"for":[9],"piecewise":[10,21,62],"function":[11,26],"approximation":[12,22],"on":[13,19,39],"private":[14],"data.":[15],"The":[16,34],"rely":[18],"a":[20,48,73,92],"of":[23,95],"the":[24,28,44,77,83,98,109],"to-be-computed":[25],"easing":[27],"implementation":[29,79],"in":[30],"an":[31],"STPC":[32],"setting.":[33],"first":[35],"protocol":[36],"relies":[37],"entirely":[38],"garbled":[40],"circuits":[41],"(GCs),":[42],"while":[43,97],"second":[45],"one":[46],"exploits":[47],"hybrid":[49,99],"construction":[50],"where":[51],"GC":[52],"and":[53,64,85],"homomorphic":[54],"encryption":[55],"are":[56],"used":[57],"together.":[58],"In":[59],"addition":[60],"to":[61,106],"constant":[63],"linear":[65],"approximation,":[66],"polynomial":[67],"interpolation":[68],"is":[69,80,101,112],"also":[70],"considered.":[71],"From":[72],"communication":[74],"complexity":[75],"perspective,":[76],"full-GC":[78,110],"preferable":[81,102],"when":[82],"input":[84],"output":[86],"variables":[87],"can":[88],"be":[89],"represented":[90],"with":[91],"small":[93],"number":[94],"bits,":[96],"solution":[100,111],"otherwise.":[103],"With":[104],"regard":[105],"computational":[107],"complexity,":[108],"generally":[113],"more":[114],"convenient.":[115]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}