: We initiate the study of property testing of submodularity on the boolean hypercube. Submodular functions come up in a variety of applications in combinatorial optimization. For ...
We investigate the runtime of a Binary Particle Swarm Optimizer (PSO) for optimizing pseudo-Boolean functions f : {0, 1}n → R. The Binary PSO maintains a swarm of particles sear...
We consider the problem of testing functions for the property of being a k-junta (i.e., of depending on at most k variables). Fischer, Kindler, Ron, Safra, and Samorodnitsky (J. Co...
Eldar Fischer, Guy Kindler, Dana Ron, Shmuel Safra...
Much work has been done on learning various classes of "simple" monotone functions under the uniform distribution. In this paper we give the first unconditional lower bo...
For any Boolean functionf letL(f) be its formulasizecomplexityin the basis f^ 1g. For every n and every k n=2, we describe a probabilistic distribution on formulas in the basis f^...