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COCO
2008
Springer
95views Algorithms» more  COCO 2008»
15 years 1 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
15 years 4 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»
14 years 2 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»
13 years 2 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