Secure Multiparty Computation of Approximations

  • Authors:
  • Joan Feigenbaum;Yuval Ishai;Tal Malkin;Kobbi Nissim;Martin Strauss;Rebecca N. Wright

  • Affiliations:
  • -;-;-;-;-;-

  • Venue:
  • ICALP '01 Proceedings of the 28th International Colloquium on Automata, Languages and Programming,
  • Year:
  • 2001

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Abstract

Approximation algorithms can sometimes provide efficient solutions when no efficient exact computation is known. In particular, approximations are often useful in a distributed setting where the inputs are held by different parties and are extremely large. Furthermore, for some applications, the parties want to cooperate to compute a function of their inputs without revealing more information than necessary. If f is an approximation to f, secure multiparty computation of f allows the parties to compute f without revealing unnecessary information. However, secure computation of f may not be as private as secure computation of f, because the output of f may itself reveal more information than the output of f. In this paper, we present definitions of secure multiparty approximate computations that retain the privacy of a secure computation of f. We present an efficient, sublinear-communication, private approximate computation for the Hamming distance and an efficient private approximation of the permanent.