50 search results - page 5 / 10 » Polynomial Vicinity Circuits and Nonlinear Lower Bounds |
FOCS
2000
IEEE
14 years 1 days ago
2000
IEEE
We give new bounds on the circuit complexity of the quantum Fourier transform (QFT). We give an upper bound of Ç´ÐÓ Ò · ÐÓ ÐÓ ´½ µµ on the circuit depth for computin...
STOC
2010
ACM
14 years 5 months ago
2010
ACM
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
ECCC
2010
13 years 7 months ago
2010
Much work has been done on learning various classes of "simple" monotone functions under the uniform distribution. In this paper we give the first unconditional lower bo...
ICALP
2010
Springer
14 years 13 days ago
2010
Springer
We say that a polynomial f(x1, . . . , xn) is indecomposable if it cannot be written as a product of two polynomials that are defined over disjoint sets of variables. The polynom...
STOC
1996
ACM
13 years 11 months ago
1996
ACM
We study the complexity of computing Boolean functions using AND, OR and NOT gates. We show that a circuit of depth d with S gates can be made to output a constant by setting O(S1...