Tractable approximations for probabilistic models: The adaptive TAP mean field approach
Disordered Systems and Neural Networks
2009-11-07 v1
Abstract
We develop an advanced mean field method for approximating averages in probabilistic data models that is based on the TAP approach of disorder physics. In contrast to conventional TAP, where the knowledge of the distribution of couplings between the random variables is required, our method adapts to the concrete couplings. We demonstrate the validity of our approach, which is sofar restricted to models with non-glassy behaviour, by replica calculations for a wide class of models as well as by simulations for a real data set.
Cite
@article{arxiv.cond-mat/0102274,
title = {Tractable approximations for probabilistic models: The adaptive TAP mean field approach},
author = {Manfred Opper and Ole Winther},
journal= {arXiv preprint arXiv:cond-mat/0102274},
year = {2009}
}
Comments
5 Pages, 2 figures, accepted for publication in Phys. Rev. Lett