Matches in SemOpenAlex for { <https://semopenalex.org/work/W2028584480> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W2028584480 abstract "This paper proves that an old dog, namely -- the classical Johnson-Linden Strauss transform, performs new tricks -- it gives a novel way of preserving differential privacy. We show that if we take two databases, D and D', such that (i) D'-D is a rank-1 matrix of bounded norm and (ii) all singular values of D and D' are sufficiently large, then multiplying either D or D' with a vector of iid normal Gaussians yields two statistically close distributions in the sense of differential privacy. Furthermore, a small, deterministic and public alteration of the input is enough to assert that all singular values of D are large. We apply the Johnson-Linden Strauss transform to the task of approximating cut-queries: the number of edges crossing a (S, bar S)-cut in a graph. We show that the JL transform allows us to publish a sanitized graph that preserves edge differential privacy (where two graphs are neighbors if they differ on a single edge) while adding only O(|S|/epsilon) random noise to any given query (w.h.p). Comparing the additive noise of our algorithm to existing algorithms for answering cut-queries in a differentially private manner, we outperform all others on small cuts (|S| = o(n)). We also apply our technique to the task of estimating the variance of a given matrix in any given direction. The JL transform allows us to publish a sanitized covariance matrix that preserves differential privacy w.r.t bounded changes (each row in the matrix can change by at most a norm-1 vector) while adding random noise of magnitude independent of the size of the matrix (w.h.p). In contrast, existing algorithms introduce an error which depends on the matrix dimensions." @default.
- W2028584480 created "2016-06-24" @default.
- W2028584480 creator A5024803432 @default.
- W2028584480 creator A5028278191 @default.
- W2028584480 creator A5036493397 @default.
- W2028584480 creator A5087418764 @default.
- W2028584480 date "2012-10-01" @default.
- W2028584480 modified "2023-10-16" @default.
- W2028584480 title "The Johnson-Lindenstrauss Transform Itself Preserves Differential Privacy" @default.
- W2028584480 cites W1485110750 @default.
- W2028584480 cites W1588963622 @default.
- W2028584480 cites W1982147025 @default.
- W2028584480 cites W1985310469 @default.
- W2028584480 cites W2010523825 @default.
- W2028584480 cites W2013823004 @default.
- W2028584480 cites W2022097286 @default.
- W2028584480 cites W2028584480 @default.
- W2028584480 cites W2077217970 @default.
- W2028584480 cites W2085927849 @default.
- W2028584480 cites W2101771965 @default.
- W2028584480 cites W2103164654 @default.
- W2028584480 cites W2117756735 @default.
- W2028584480 cites W2121372565 @default.
- W2028584480 cites W2123820077 @default.
- W2028584480 cites W2129428954 @default.
- W2028584480 cites W2150611147 @default.
- W2028584480 cites W2167372639 @default.
- W2028584480 cites W2169570643 @default.
- W2028584480 cites W2979473749 @default.
- W2028584480 doi "https://doi.org/10.1109/focs.2012.67" @default.
- W2028584480 hasPublicationYear "2012" @default.
- W2028584480 type Work @default.
- W2028584480 sameAs 2028584480 @default.
- W2028584480 citedByCount "102" @default.
- W2028584480 countsByYear W20285844802012 @default.
- W2028584480 countsByYear W20285844802013 @default.
- W2028584480 countsByYear W20285844802014 @default.
- W2028584480 countsByYear W20285844802015 @default.
- W2028584480 countsByYear W20285844802016 @default.
- W2028584480 countsByYear W20285844802017 @default.
- W2028584480 countsByYear W20285844802018 @default.
- W2028584480 countsByYear W20285844802019 @default.
- W2028584480 countsByYear W20285844802020 @default.
- W2028584480 countsByYear W20285844802021 @default.
- W2028584480 countsByYear W20285844802022 @default.
- W2028584480 countsByYear W20285844802023 @default.
- W2028584480 crossrefType "proceedings-article" @default.
- W2028584480 hasAuthorship W2028584480A5024803432 @default.
- W2028584480 hasAuthorship W2028584480A5028278191 @default.
- W2028584480 hasAuthorship W2028584480A5036493397 @default.
- W2028584480 hasAuthorship W2028584480A5087418764 @default.
- W2028584480 hasBestOaLocation W20285844802 @default.
- W2028584480 hasConcept C106487976 @default.
- W2028584480 hasConcept C11413529 @default.
- W2028584480 hasConcept C114614502 @default.
- W2028584480 hasConcept C118615104 @default.
- W2028584480 hasConcept C134306372 @default.
- W2028584480 hasConcept C159985019 @default.
- W2028584480 hasConcept C192562407 @default.
- W2028584480 hasConcept C23130292 @default.
- W2028584480 hasConcept C33923547 @default.
- W2028584480 hasConcept C34388435 @default.
- W2028584480 hasConcept C41008148 @default.
- W2028584480 hasConceptScore W2028584480C106487976 @default.
- W2028584480 hasConceptScore W2028584480C11413529 @default.
- W2028584480 hasConceptScore W2028584480C114614502 @default.
- W2028584480 hasConceptScore W2028584480C118615104 @default.
- W2028584480 hasConceptScore W2028584480C134306372 @default.
- W2028584480 hasConceptScore W2028584480C159985019 @default.
- W2028584480 hasConceptScore W2028584480C192562407 @default.
- W2028584480 hasConceptScore W2028584480C23130292 @default.
- W2028584480 hasConceptScore W2028584480C33923547 @default.
- W2028584480 hasConceptScore W2028584480C34388435 @default.
- W2028584480 hasConceptScore W2028584480C41008148 @default.
- W2028584480 hasLocation W20285844801 @default.
- W2028584480 hasLocation W20285844802 @default.
- W2028584480 hasLocation W20285844803 @default.
- W2028584480 hasOpenAccess W2028584480 @default.
- W2028584480 hasPrimaryLocation W20285844801 @default.
- W2028584480 hasRelatedWork W2081029816 @default.
- W2028584480 hasRelatedWork W2898879311 @default.
- W2028584480 hasRelatedWork W2954121957 @default.
- W2028584480 hasRelatedWork W2997738523 @default.
- W2028584480 hasRelatedWork W3000550570 @default.
- W2028584480 hasRelatedWork W3018824936 @default.
- W2028584480 hasRelatedWork W3046122115 @default.
- W2028584480 hasRelatedWork W3213134179 @default.
- W2028584480 hasRelatedWork W4253203931 @default.
- W2028584480 hasRelatedWork W4292720309 @default.
- W2028584480 isParatext "false" @default.
- W2028584480 isRetracted "false" @default.
- W2028584480 magId "2028584480" @default.
- W2028584480 workType "article" @default.