Add to ORKGWe study the identity testing problem for depth 3 arithmetic circuits (ΣΠΣ circuit). We give the first deterministic polynomial time identity test for ΣΠΣ circuits with bounded top fanin. We also show that the rank of a minimal and simple ΣΠΣ circuit with bounded top fanin, computing zero, can be unbounded. These results answer the open questions posed by Klivans-Spielman [KS01] and Dvir-Shpilka [DS05]
In this talk we give a deterministic polynomial time algorithm for testing whether a {em diagonal} d...
We study the problem of identity testing for multilinear ΣΠΣΠ(k) circuits, i.e. multilinear depth-4 ...
In this paper we give the first deterministic polynomial time algorithm for testing whether a diagon...
We study the problem of polynomial identity testing for depth-3 circuits of degree d and top fanin k...
We study EIIE(k) circuits, i.e., depth three arithmetic circuits with top fanin k. We give the firs...
Abstract—We show that the rank of a depth-3 circuit (over any field) that is simple, minimal and zer...
Abstract—We study the problem of identity testing for depth-3 circuits of top fanin k and degree d. ...
Abstract. Let C be a depth-3 circuit with n variables, degree d and top fanin k (called ΣΠΣ(k, d, n)...
Let C be a depth-3 circuit with n variables, degree d and top fanin k (called ΣΠΣ(k, d, n) circuits)...
Let C be a depth-3 circuit with n variables, degree d and top fanin k (called ΣΠΣ(k, d, n) circuits)...
In this paper we consider the problem of determining whether an unknown arithmetic circuit, for whic...
We study the problem of identity testing for depth-3 circuits of top fanin k and degree d. We give a...
We study the problem of identity testing for depth-3 circuits of top fanin k and degree d. We give a...
In this talk we give a deterministic polynomial time algorithm for testing whether a {em diagonal} d...
Abstract. In this paper we give the first deterministic polynomial time algorithm for testing whethe...
In this talk we give a deterministic polynomial time algorithm for testing whether a {em diagonal} d...
We study the problem of identity testing for multilinear ΣΠΣΠ(k) circuits, i.e. multilinear depth-4 ...
In this paper we give the first deterministic polynomial time algorithm for testing whether a diagon...
We study the problem of polynomial identity testing for depth-3 circuits of degree d and top fanin k...
We study EIIE(k) circuits, i.e., depth three arithmetic circuits with top fanin k. We give the firs...
Abstract—We show that the rank of a depth-3 circuit (over any field) that is simple, minimal and zer...
Abstract—We study the problem of identity testing for depth-3 circuits of top fanin k and degree d. ...
Abstract. Let C be a depth-3 circuit with n variables, degree d and top fanin k (called ΣΠΣ(k, d, n)...
Let C be a depth-3 circuit with n variables, degree d and top fanin k (called ΣΠΣ(k, d, n) circuits)...
Let C be a depth-3 circuit with n variables, degree d and top fanin k (called ΣΠΣ(k, d, n) circuits)...
In this paper we consider the problem of determining whether an unknown arithmetic circuit, for whic...
We study the problem of identity testing for depth-3 circuits of top fanin k and degree d. We give a...
We study the problem of identity testing for depth-3 circuits of top fanin k and degree d. We give a...
In this talk we give a deterministic polynomial time algorithm for testing whether a {em diagonal} d...
Abstract. In this paper we give the first deterministic polynomial time algorithm for testing whethe...
In this talk we give a deterministic polynomial time algorithm for testing whether a {em diagonal} d...
We study the problem of identity testing for multilinear ΣΠΣΠ(k) circuits, i.e. multilinear depth-4 ...
In this paper we give the first deterministic polynomial time algorithm for testing whether a diagon...