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ECCC
2010
83views more  ECCC 2010»
13 years 4 months ago
Deterministic Identity Testing of Read-Once Algebraic Branching Programs
In this paper we study polynomial identity testing of sums of k read-once algebraic branching programs (Σk-RO-ABPs), generalizing the work of Shpilka and Volkovich [1, 2], who co...
Maurice Jansen, Youming Qiao, Jayalal M. N. Sarma
APPROX
2009
Springer
104views Algorithms» more  APPROX 2009»
14 years 4 days ago
Improved Polynomial Identity Testing for Read-Once Formulas
An arithmetic read-once formula (ROF for short) is a formula (a circuit whose underlying graph is a tree) in which the operations are {+, ×} and such that every input variable la...
Amir Shpilka, Ilya Volkovich
COCO
2006
Springer
88views Algorithms» more  COCO 2006»
13 years 7 months ago
Polynomial Identity Testing for Depth 3 Circuits
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...
Neeraj Kayal, Nitin Saxena
FSTTCS
2009
Springer
14 years 3 days ago
The Power of Depth 2 Circuits over Algebras
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...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena
COCO
2005
Springer
128views Algorithms» more  COCO 2005»
13 years 11 months ago
More on Noncommutative Polynomial Identity Testing
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...
Andrej Bogdanov, Hoeteck Wee