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» Deterministic identity testing for multivariate polynomials
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SODA
2003
ACM
143views Algorithms» more  SODA 2003»
13 years 5 months ago
Deterministic identity testing for multivariate polynomials
In this paper we present a simple deterministic algorithm for testing whether a multivariate polynomial f(x1, . . . , xn) is identically zero, in time polynomial in m, n, log(d + ...
Richard J. Lipton, Nisheeth K. Vishnoi
ECCC
2011
223views ECommerce» more  ECCC 2011»
12 years 11 months ago
A Case of Depth-3 Identity Testing, Sparse Factorization and Duality
Polynomial identity testing (PIT) problem is known to be challenging even for constant depth arithmetic circuits. In this work, we study the complexity of two special but natural ...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena
COCO
2004
Springer
86views Algorithms» more  COCO 2004»
13 years 10 months ago
Deterministic Polynomial Identity Testing in Non-Commutative Models
We give a deterministic polynomial time algorithm for polynomial identity testing in the following two cases:
Ran Raz, Amir Shpilka
CORR
2010
Springer
138views Education» more  CORR 2010»
13 years 4 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
STOC
2005
ACM
132views Algorithms» more  STOC 2005»
14 years 4 months ago
Locally decodable codes with 2 queries and polynomial identity testing for depth 3 circuits
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 ...
Zeev Dvir, Amir Shpilka