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COCO
2005
Springer
128views Algorithms» more  COCO 2005»
13 years 10 months ago
More on Noncommutative Polynomial Identity Testing
We continue the study of noncommutative polynomial identity testing initiated by Raz and Shpilka and present efficient algorithms for the following problems in the noncommutative...
Andrej Bogdanov, Hoeteck Wee
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
COCO
2008
Springer
84views Algorithms» more  COCO 2008»
13 years 7 months ago
New Results on Noncommutative and Commutative Polynomial Identity Testing
Vikraman Arvind, Partha Mukhopadhyay, Srikanth Sri...
STACS
2009
Springer
14 years 1 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
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