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Conference Papers Year : 2011

Quantitative Information Flow and Applications to Differential Privacy

Abstract

Secure information flow is the problem of ensuring that the information made publicly available by a computational system does not leak information that should be kept secret. Since it is practically impossible to avoid leakage entirely, in recent years there has been a growing interest in considering the quantitative aspects of information flow, in order to measure and compare the amount of leakage. Information theory is widely regarded as a natural framework to provide firm foundations to quantitative information flow. In this notes we review the two main information-theoretic approaches that have been investigated: the one based on Shannon entropy, and the one based on Rényi min-entropy. Furthermore, we discuss some applications in the area of privacy. In particular, we consider statistical databases and the recently-proposed notion of differential privacy. Using the information-theoretic view, we discuss the bound that differential privacy induces on leakage, and the trade-off between utility and privacy
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Dates and versions

hal-00655522 , version 1 (30-12-2011)

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Cite

Mário Alvim, Miguel E. Andrés, Konstantinos Chatzikokolakis, Catuscia Palamidessi. Quantitative Information Flow and Applications to Differential Privacy. FOSAD 2011 - 11th International School on Foundations of Security Analysis and Design, Aug 2011, Bertinoro, Italy. pp.211-230, ⟨10.1007/978-3-642-23082-0_8⟩. ⟨hal-00655522⟩
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