We settle the 1-pass space complexity of (1 ? )approximating the Lp norm, for real p with 1 p 2, of a length-n vector updated in a length-m stream with updates to its coordinate...
We study a variant of the classical circuit-lower-bound problems: proving lower bounds for sampling distributions given random bits. We prove a lower bound of 1 - 1/n(1) on the st...
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...
Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandom number generators do not exist. This famous result is...
We study the complexity of building pseudorandom generators (PRGs) with logarithmic seed length from hard functions. We show that, starting from a function f : {0, 1}l → {0, 1} ...