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COCO
2008
Springer
84views Algorithms» more  COCO 2008»
13 years 9 months ago
New Results on Noncommutative and Commutative Polynomial Identity Testing
Vikraman Arvind, Partha Mukhopadhyay, Srikanth Sri...
DAGSTUHL
2007
13 years 9 months ago
Diagonal Circuit Identity Testing and Lower Bounds
In this paper we give the first deterministic polynomial time algorithm for testing whether a diagonal depth-3 circuit C(x1, . . . , xn) (i.e. C is a sum of powers of linear funct...
Nitin Saxena
STOC
1998
ACM
135views Algorithms» more  STOC 1998»
14 years 2 days ago
Checking Polynomial Identities over any Field: Towards a Derandomization?
We present a Monte Carlo algorithm for testing multivariate polynomial identities over any field using fewer random bits than other methods. To test if a polynomial P(x1 ::: xn) ...
Daniel Lewin, Salil P. Vadhan
CORR
2010
Springer
138views Education» more  CORR 2010»
13 years 8 months ago
Shallow Circuits with High-Powered Inputs
A polynomial identity testing algorithm must determine whether an input polynomial (given for instance by an arithmetic circuit) is identically equal to 0. In this paper, we show ...
Pascal Koiran
FSTTCS
2009
Springer
14 years 2 months 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...