45 search results - page 3 / 9 » Diagonal Circuit Identity Testing and Lower Bounds |
FSTTCS
2009
Springer
14 years 2 months ago
2009
Springer
Motivated by the Hadamard product of matrices we define the Hadamard product of multivariate polynomials and study its arithmetic circuit and branching program complexity. We also...
COCO
2006
Springer
13 years 9 months ago
2006
Springer
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...
COCO
2009
Springer
14 years 2 months ago
2009
Springer
—We show that the rank of a depth-3 circuit (over any field) that is simple, minimal and zero is at most O(k3 log d). The previous best rank bound known was 2O(k2 ) (log d)k−2...
CORR
2010
Springer
13 years 7 months ago
2010
Springer
In their paper on the "chasm at depth four", Agrawal and Vinay have shown that polynomials in m variables of degree O(m) which admit arithmetic circuits of size 2o(m) al...
ISAAC
2007
Springer
14 years 1 months ago
2007
Springer
This paper shows that it is NP-hard to generate a minimum complete test set for stuck-at faults on the wires of a reversible circuit. We also show non-trivial lower bounds for the ...