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» Improved Polynomial Identity Testing for Read-Once Formulas
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APPROX
2009
Springer
104views Algorithms» more  APPROX 2009»
13 years 11 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
ECCC
2010
89views more  ECCC 2010»
13 years 4 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
ECCC
2010
83views more  ECCC 2010»
13 years 3 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
ECCC
2010
79views more  ECCC 2010»
13 years 1 months ago
Derandomizing Polynomial Identity Testing for Multilinear Constant-Read Formulae
Matthew Anderson, Dieter van Melkebeek, Ilya Volko...
ICALP
2010
Springer
13 years 9 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