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FSTTCS
2009
Springer
14 years 16 days ago
Arithmetic Circuits and the Hadamard Product of Polynomials
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...
Vikraman Arvind, Pushkar S. Joglekar, Srikanth Sri...
ICALP
2010
Springer
13 years 10 months ago
On the Relation between Polynomial Identity Testing and Finding Variable Disjoint Factors
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...
Amir Shpilka, Ilya Volkovich
STOC
1991
ACM
84views Algorithms» more  STOC 1991»
13 years 9 months ago
Self-Testing/Correcting for Polynomials and for Approximate Functions
The study of self-testing/correcting programs was introduced in [8] in order to allow one to use program P to compute function f without trusting that P works correctly. A self-te...
Peter Gemmell, Richard J. Lipton, Ronitt Rubinfeld...
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
2004
Springer
88views Algorithms» more  APPROX 2004»
13 years 11 months ago
A Stateful Implementation of a Random Function Supporting Parity Queries over Hypercubes
Abstract. Motivated by an open problem recently suggested by Goldreich et al., we study truthful implementations of a random binary function supporting compound XOR queries over su...
Andrej Bogdanov, Hoeteck Wee