We continue the study of noncommutative polynomial identity testing initiated by Raz and Shpilka and present efficient algorithms for the following problems in the noncommutative...
It is well known that the hardest bit of integer multiplication is the middle bit, i.e. MULn−1,n. This paper contains several new results on its complexity. First, the size s of...
Weighted threshold functions with positive weights are a natural generalization of unweighted threshold functions. These functions are clearly monotone. However, the naive way of ...
We examine classes of distributional problems defined in terms of polynomial-time decision algorithms with bounded error probability. The class AvgP [5] has been characterized in...
We study the complexity of approximating Max NME3SAT, a variant of Max 3SAT when the instances are guaranteed to not have any mixed clauses, i.e., every clause has either all its ...