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STACS
2009
Springer

Almost-Uniform Sampling of Points on High-Dimensional Algebraic Varieties

10 years 6 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 over a sufficiently large finite field, produces a common zero of the polynomials almost uniformly at random. The statistical distance between the output distribution of the algorithm and the uniform distribution on the set of common zeros is polynomially small in the field size, and the running time of the algorithm is polynomial in the description of the polynomials and their degrees provided that the number of the polynomials is a constant.
Mahdi Cheraghchi, Amin Shokrollahi
Added 27 Jul 2010
Updated 27 Jul 2010
Type Conference
Year 2009
Where STACS
Authors Mahdi Cheraghchi, Amin Shokrollahi
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