Welcome to the resource topic for 2021/207
Title:
Secure Fast Evaluation of Iterative Methods: With an Application to Secure PageRank
Authors: Daniele Cozzo, Nigel P. Smart, Younes Talibi Alaoui
Abstract:Iterative methods are a standard technique in many areas of scientific computing. The key idea is that a function is applied repeatedly until the resulting sequence converges to the correct answer. When applying such methods in a secure computation methodology (for example using MPC, FHE, or SGX) one either needs to perform enough steps to ensure convergence irrespective of the input data, or one needs to perform a convergence test within the algorithm, and this itself leads to a leakage of data. Using the Banach Fixed Point theorem, and its extensions, we show that this data-leakage can be quantified. We then apply this to a secure (via MPC) implementation of the PageRank methodology. For PageRank we show that allowing this small amount of data-leakage produces a much more efficient secure implementation, and that for many underlying graphs this `leakage’ is already known to any attacker.
ePrint: https://eprint.iacr.org/2021/207
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