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» Improved Polynomial Identity Testing for Read-Once Formulas
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APPROX
2009
Springer
104views Algorithms» more  APPROX 2009»
14 years 1 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 7 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 5 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 4 months ago
Derandomizing Polynomial Identity Testing for Multilinear Constant-Read Formulae
Matthew Anderson, Dieter van Melkebeek, Ilya Volko...
ICALP
2010
Springer
13 years 11 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