In this paper we study polynomial identity testing of sums of k read-once algebraic branching programs (Σk-RO-ABPs), generalizing the work of Shpilka and Volkovich [1, 2], who co...
An arithmetic read-once formula (ROF for short) is a formula (a circuit whose underlying graph is a tree) in which the operations are {+, ×} and such that every input variable la...
We study the identity testing problem for depth 3 arithmetic circuits ( circuit). We give the first deterministic polynomial time identity test for circuits with bounded top fanin...
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 continue the study of noncommutative polynomial identity testing initiated by Raz and Shpilka and present efficient algorithms for the following problems in the noncommutative...