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» Polynomial Identity Testing for Depth 3 Circuits
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COCO
2009
Springer
117views Algorithms» more  COCO 2009»
14 years 6 days ago
The Proof Complexity of Polynomial Identities
Devising an efficient deterministic – or even a nondeterministic sub-exponential time – algorithm for testing polynomial identities is a fundamental problem in algebraic comp...
Pavel Hrubes, Iddo Tzameret
FOCS
2008
IEEE
14 years 2 days ago
Arithmetic Circuits: A Chasm at Depth Four
We show that proving exponential lower bounds on depth four arithmetic circuits imply exponential lower bounds for unrestricted depth arithmetic circuits. In other words, for expo...
Manindra Agrawal, V. Vinay
STOC
2010
ACM
207views Algorithms» more  STOC 2010»
14 years 3 months ago
Deterministic identity testing of depth-4 multilinear circuits with bounded top fan-in
Zohar S. Karnin and Partha Mukhopadhyay and Amir S...
COCO
2009
Springer
96views Algorithms» more  COCO 2009»
14 years 6 days ago
Reconstruction of Generalized Depth-3 Arithmetic Circuits with Bounded Top Fan-in
In this paper we give reconstruction algorithms for depth-3 arithmetic circuits with k multiplication gates (also known as ΣΠΣ(k) circuits), where k = O(1). Namely, we give an ...
Zohar Shay Karnin, Amir Shpilka
ICALP
2010
Springer
13 years 10 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