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» Polynomial Identity Testing for Depth 3 Circuits
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STOC
2007
ACM
133views Algorithms» more  STOC 2007»
14 years 8 months ago
Interpolation of depth-3 arithmetic circuits with two multiplication gates
In this paper we consider the problem of constructing a small arithmetic circuit for a polynomial for which we have oracle access. Our focus is on n-variate polynomials, over a fi...
Amir Shpilka
ECCC
2010
89views more  ECCC 2010»
13 years 8 months ago
Read-Once Polynomial Identity Testing
An arithmetic read-once formula (ROF for short) is a formula (a circuit in which the fanout of every gate is at most 1) in which the operations are {+,
Amir Shpilka, Ilya Volkovich
APPROX
2009
Springer
104views Algorithms» more  APPROX 2009»
14 years 3 months 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
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