ECCC
2010
13 years 3 months ago
2010
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...
ICALP
2010
Springer
13 years 9 months 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...
COCO
2004
Springer
13 years 10 months ago
2004
Springer
We give a deterministic polynomial time algorithm for polynomial identity testing in the following two cases:
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...
FSTTCS
2009
Springer
13 years 11 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...
STOC
2005
ACM
14 years 5 months ago
2005
ACM
In this work we study two, seemingly unrelated, notions. Locally Decodable Codes (LDCs) are codes that allow the recovery of each message bit from a constant number of entries of ...