A fundamental fact in the analysis of randomized algorithm is that when n balls are hashed into n bins independently and uniformly at random, with high probability each bin contai...
L. Elisa Celis, Omer Reingold, Gil Segev, Udi Wied...
We develop a new technique for proving lower bounds in property testing, by showing a strong connection between testing and communication complexity. We give a simple scheme for r...
We revisit the notion of a targeted canonical derandomizer, introduced in our recent ECCC Report (TR10-135) as a uniform notion of a pseudorandom generator that suffices for yield...
We show two new direct product results in two different models of communication complexity. Our first result is in the model of one-way public-coin model. Let f ⊆ X × Y × Z ...
We consider the problem of extracting randomness from sources that are efficiently samplable, in the sense that each output bit of the sampler only depends on some small number d ...