Abstract. This paper describes a complete implementation of Ritt-Wu's characteristic sets method in the Maple system. The implemented algorithms include those with variants fo...
We study the problem of polynomial identity testing (PIT) for depth 2 arithmetic circuits over matrix algebra. We show that identity testing of depth 3 (ΣΠΣ) arithmetic circuit...
We give an algorithm that learns any monotone Boolean function f : {-1, 1}n {-1, 1} to any constant accuracy, under the uniform distribution, in time polynomial in n and in the de...
We present a data structure, called a ray interpolant tree, or RI-tree, which stores a discrete set of directed lines in 3-space, each represented as a point in 4-space. Each dire...
A probabilistic algorithm is presented for finding a basis of the root space of a linearized polynomial L(x) = t i=0 Lixqi over Fqn . The expected time complexity of the presented ...