Imperial College London
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Dr Mahdi Cheraghchi

Faculty of Engineering, Department of Computing

Honorary Senior Lecturer
 
 
 
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Contact

 

m.cheraghchi Website CV

 
 
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Location

 

353ACE ExtensionSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@inproceedings{Cheraghchi:2009:10.4230/LIPIcs.STACS.2009.1817,
author = {Cheraghchi, M and Shokrollahi, AN},
doi = {10.4230/LIPIcs.STACS.2009.1817},
pages = {277--288},
title = {Almost-uniform sampling of points on high-dimensional algebraic varieties},
url = {http://dx.doi.org/10.4230/LIPIcs.STACS.2009.1817},
year = {2009}
}
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RIS format (EndNote, RefMan)

TY  - CPAPER
AB  - 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. © M. Cheraghchi and A. Shokrollahi.
AU  - Cheraghchi,M
AU  - Shokrollahi,AN
DO  - 10.4230/LIPIcs.STACS.2009.1817
EP  - 288
PY  - 2009///
SN  - 1868-8969
SP  - 277
TI  - Almost-uniform sampling of points on high-dimensional algebraic varieties
UR  - http://dx.doi.org/10.4230/LIPIcs.STACS.2009.1817
UR  - http://hdl.handle.net/10044/1/63174
ER  -
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