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COCO
2008
Springer
84views Algorithms» more  COCO 2008»
13 years 6 months ago
New Results on Noncommutative and Commutative Polynomial Identity Testing
Vikraman Arvind, Partha Mukhopadhyay, Srikanth Sri...
COCO
2004
Springer
86views Algorithms» more  COCO 2004»
13 years 10 months ago
Deterministic Polynomial Identity Testing in Non-Commutative Models
We give a deterministic polynomial time algorithm for polynomial identity testing in the following two cases:
Ran Raz, Amir Shpilka
STACS
2009
Springer
13 years 11 months 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
STOC
2010
ACM
168views Algorithms» more  STOC 2010»
14 years 2 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
FSTTCS
2009
Springer
13 years 11 months ago
Arithmetic Circuits and the Hadamard Product of Polynomials
Motivated by the Hadamard product of matrices we define the Hadamard product of multivariate polynomials and study its arithmetic circuit and branching program complexity. We also...
Vikraman Arvind, Pushkar S. Joglekar, Srikanth Sri...