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» Deterministic identity testing of depth-4 multilinear circui...
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STOC
2010
ACM
207views Algorithms» more  STOC 2010»
14 years 2 months ago
Deterministic identity testing of depth-4 multilinear circuits with bounded top fan-in
Zohar S. Karnin and Partha Mukhopadhyay and Amir S...
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
STACS
2010
Springer
13 years 11 months ago
Weakening Assumptions for Deterministic Subexponential Time Non-Singular Matrix Completion
Kabanets and Impagliazzo [KI04] show how to decide the circuit polynomial identity testing problem (CPIT) in deterministic subexponential time, assuming hardness of some explicit ...
Maurice Jansen
COCO
2006
Springer
88views Algorithms» more  COCO 2006»
13 years 6 months ago
Polynomial Identity Testing for Depth 3 Circuits
We study the identity testing problem for depth 3 arithmetic circuits ( circuit). We give the first deterministic polynomial time identity test for circuits with bounded top fanin...
Neeraj Kayal, Nitin Saxena
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