Multi-party protocols and spectral norms

Grolmusz, Vince

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Multi-party protocols and spectral norms

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Grolmusz, Vince
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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Grolmusz, V.(1993). Multi-party protocols and spectral norms (MPI-I-93-132). Saarbrücken: Max-Planck-Institut für Informatik.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0014-B753-1

Abstract

Let f be a Boolean function of $n$ variables with $L_1$ spectral norm $ L_1(f)>n^\epsilon $ for some positive $ \epsilon $ . Then f can be computed by a $ O(\log L_1(f)) $ player multi--party protocol with $ O(\log^2 L_1(f)) $ communication.