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COCO
2008
Springer
95views Algorithms» more  COCO 2008»
13 years 10 months ago
Hardness Amplification within NP against Deterministic Algorithms
We study the average-case hardness of the class NP against deterministic polynomial time algorithms. We prove that there exists some constant
Parikshit Gopalan, Venkatesan Guruswami
STACS
2009
Springer
14 years 1 months ago
Almost-Uniform Sampling of Points on High-Dimensional Algebraic Varieties
We consider the problem of uniform sampling of points on an algebraic variety. Specifically, we develop a randomized algorithm that, given a small set of multivariate polynomials ...
Mahdi Cheraghchi, Amin Shokrollahi
ISSAC
2011
Springer
243views Mathematics» more  ISSAC 2011»
12 years 11 months ago
Practical polynomial factoring in polynomial time
There are several algorithms for factoring in Z[x] which have a proven polynomial complexity bound such as Sch¨onhage of 1984, Belabas/Kl¨uners/van Hoeij/Steel of 2004, and vanH...
William Hart, Mark van Hoeij, Andrew Novocin
SODA
2012
ACM
195views Algorithms» more  SODA 2012»
11 years 11 months ago
Concentration and moment inequalities for polynomials of independent random variables
In this work we design a general method for proving moment inequalities for polynomials of independent random variables. Our method works for a wide range of random variables incl...
Warren Schudy, Maxim Sviridenko