11 search results - page 2 / 3 » On Derandomizing Tests for Certain Polynomial Identities |
CORR
2010
Springer
13 years 7 months ago
2010
Springer
In their paper on the "chasm at depth four", Agrawal and Vinay have shown that polynomials in m variables of degree O(m) which admit arithmetic circuits of size 2o(m) al...
ECCC
2010
13 years 7 months ago
2010
We present an alternate proof of the result by Kabanets and Impagliazzo that derandomizing polynomial identity testing implies circuit lower bounds. Our proof is simpler, scales b...
22
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CORR
2010
Springer
13 years 7 months ago
2010
Springer
A polynomial identity testing algorithm must determine whether an input polynomial (given for instance by an arithmetic circuit) is identically equal to 0. In this paper, we show ...
COCO
2005
Springer
14 years 1 months ago
2005
Springer
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...
COCO
2009
Springer
14 years 2 months ago
2009
Springer
Devising an efficient deterministic – or even a nondeterministic sub-exponential time – algorithm for testing polynomial identities is a fundamental problem in algebraic comp...