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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
COCO
2003
Springer
88views Algorithms» more  COCO 2003»
13 years 10 months ago
On Derandomizing Tests for Certain Polynomial Identities
We extract a paradigm for derandomizing tests for polynomial identities from the recent AKS primality testing algorithm. We then discuss its possible application to other tests.
Manindra Agrawal
STOC
2005
ACM
132views Algorithms» more  STOC 2005»
14 years 5 months ago
Locally decodable codes with 2 queries and polynomial identity testing for depth 3 circuits
In this work we study two, seemingly unrelated, notions. Locally Decodable Codes (LDCs) are codes that allow the recovery of each message bit from a constant number of entries of ...
Zeev Dvir, Amir Shpilka
ECCC
2011
223views ECommerce» more  ECCC 2011»
13 years 17 days 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
2009
Springer
14 years 11 days ago
Quantum Query Complexity of Multilinear Identity Testing
Motivated by the quantum algorithm for testing commutativity of black-box groups (Magniez and Nayak, 2007), we study the following problem: Given a black-box finite ring by an add...
Vikraman Arvind, Partha Mukhopadhyay