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dc.contributor.authorChen, Victor
dc.contributor.authorSudan, Madhu
dc.contributor.authorXie, Ning
dc.date.accessioned2011-12-19T21:02:55Z
dc.date.available2011-12-19T21:02:55Z
dc.date.issued2011-01
dc.identifier.isbn978-7-302-24517-9
dc.identifier.urihttp://hdl.handle.net/1721.1/67827
dc.description.abstractGiven two testable properties P1 and P2, under what conditions are the union, intersection or set-difference of these two properties also testable? We initiate a systematic study of these basic set-theoretic operations in the context of property testing. As an application, we give a conceptually different proof that linearity is testable, albeit with much worse query complexity. Furthermore, for the problem of testing disjunction of linear functions, which was previously known to be one-sided testable with a super-polynomial query complexity, we give an improved analysis and show it has query complexity O(1/ε2), where ε is the distance parameter.en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (NSF Award CCR-0514915)en_US
dc.language.isoen_US
dc.publisherITCS, Tsinghua University Pressen_US
dc.relation.isversionofhttp://conference.itcs.tsinghua.edu.cn/ICS2011/content/paper/32.pdfen_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alike 3.0en_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/en_US
dc.sourceMIT web domainen_US
dc.titleProperty Testing via Set-Theoretic Operationsen_US
dc.typeArticleen_US
dc.identifier.citationChen, Victor, Madhu Sudan and Ning Xie. "Property Testing via Set-Theoretic Operations ." Proceedings of the Second Symposium on Innovations in Computer Science - ICS 2011, Tsinghua University, Beijing, China, January 7-9, 2011. p.211-222.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratoryen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Scienceen_US
dc.contributor.approverSudan, Madhu
dc.contributor.mitauthorXie, Ning
dc.contributor.mitauthorSudan, Madhu
dc.relation.journalProceedings of the Second Symposium on Innovations in Computer Science, (ICS 2011)en_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/ConferencePaperen_US
dspace.orderedauthorsChen, Victor; Madhu, Sudan; Xie, Ningen_US
mit.licenseOPEN_ACCESS_POLICYen_US


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