50 search results - page 1 / 10 » Polynomial Vicinity Circuits and Nonlinear Lower Bounds |
COCO
1997
Springer
13 years 9 months ago
1997
Springer
We study families of Boolean circuits with the property that the number of gates at distance t fanning into or out of any given gate in a circuit is bounded above by a polynomial ...
COCO
2008
Springer
13 years 6 months ago
2008
Springer
We prove an exponential lower bound for the size of constant depth multilinear arithmetic circuits computing either the determinant or the permanent (a circuit is called multiline...
DAGSTUHL
2007
13 years 6 months ago
2007
In this paper we give the first deterministic polynomial time algorithm for testing whether a diagonal depth-3 circuit C(x1, . . . , xn) (i.e. C is a sum of powers of linear funct...
STOC
2003
ACM
13 years 10 months ago
2003
ACM
FOCS
2007
IEEE
13 years 11 months ago
2007
IEEE
We construct an explicit polynomial f(x1, . . . , xn), with coefficients in {0, 1}, such that the size of any syntactically multilinear arithmetic circuit computing f is at least ...