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The hardness of being private
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SYSNO ASEP 0386317 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title The hardness of being private Author(s) Ada, A. (CA)
Chattopadhyay, A. (CA)
Cook, S.A. (CA)
Fontes, L. (CA)
Koucký, Michal (MU-W) RID, SAI, ORCID
Pitassi, T. (CA)Source Title 2012 IEEE 27th Annual Conference on Computational Complexity (CCC). - New York : IEEE, 2012 - ISSN 1093-0159 - ISBN 978-0-7695-4708-4 Pages s. 192-202 Number of pages 11 s. Publication form Print - P Action Computational Complexity (CCC), 2012 IEEE 27th Annual Conference Event date 26.06.2012-29.6.2012 VEvent location Porto Country PT - Portugal Event type WRD Language eng - English Country US - United States Keywords privacy ; communication complexity ; Vickrey auctions Subject RIV BA - General Mathematics R&D Projects GAP202/10/0854 GA ČR - Czech Science Foundation (CSF) 1M0545 GA MŠk - Ministry of Education, Youth and Sports (MEYS) IAA100190902 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) Institutional support MU-W - RVO:67985840 UT WOS 000308976600020 EID SCOPUS 84866510748 DOI 10.1109/CCC.2012.24 Annotation In 1989 Kushilevitz initiated the study of information-theoretic privacy within the context of communication complexity. Unfortunately, it has been shown that most interesting functions are not privately computable. The unattainability of perfect privacy for many functions motivated the study of approximate privacy. In Feigenbaum et al. (2010), they define notions of worst-case as well as average-case approximate privacy, and present several interesting upper bounds, and some open problems for further study. In this paper, we obtain asymptotically tight bounds on the tradeoffs between both the worst-case and average-case approximate privacy of protocols and their communication cost for Vickrey-auctions. Further, we relate the notion of average-case approximate privacy to other measures based on information cost of protocols. This enables us to prove exponential lower bounds on the subjective approximate privacy of protocols for computing the Intersection function. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2013
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