35 search results - page 2 / 7 » Polynomial Identity Testing for Depth 3 Circuits |
COCO
2009
Springer
13 years 11 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...
FSTTCS
2009
Springer
13 years 11 months ago
2009
Springer
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...
CORR
2010
Springer
12 years 12 months ago
2010
Springer
COCO
2005
Springer
13 years 10 months ago
2005
Springer
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...
CORR
2010
Springer
13 years 5 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...