We define pseudorandom generators for Yao's twoparty communication complexity model and exhibit a simple construction, based on expanders, for it. We then use a recursive com...
Recent work has shown many advantages to randomly wired expander-based networks. Unfortunately, the wiring complexity of such networks becomes physically problematic as they becom...
We present new results on the well-studied problem of learning DNF expressions. We prove that an algorithm due to Kushilevitz and Mansour [13] can be used to weakly learn DNF form...
Avrim Blum, Merrick L. Furst, Jeffrey C. Jackson, ...
Let G(3n, p, 3) be a random 3-colorable graph on a set of 3n vertices generated as follows. First, split the vertices arbitrarily into three equal color classes and then choose ev...
In this paper we consider the di culty of factoring multivariate polynomials F(x y z :::) modulo n. We consider in particular the case in which F is a product of two randomly chose...