Concentration of random determinants and permanent estimators
Probability
2015-07-16 v1
Abstract
We show that the absolute value of the determinant of a matrix with random independent (but not necessarily iid) entries is strongly concentrated around its mean. As an application, we show that the Godsil-Gutman and Barvinok estimators for the permanent of a strictly positive matrix give sub-exponential approximation ratios with high probability.
Cite
@article{arxiv.0905.1909,
title = {Concentration of random determinants and permanent estimators},
author = {Kevin P. Costello and Van Vu},
journal= {arXiv preprint arXiv:0905.1909},
year = {2015}
}
Comments
17 pages, no figures