Tractable approximations for probabilistic models: The adaptive TAP mean field approach

Details Tractable approximations for probabilistic models: The adaptive TAP mean field approach Tractable approximations for probabilistic models: The adaptive TAP mean field approach

2001-02-15

arxiv.org/abs/cond-mat/0102274v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 Pages, 2 figures, accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.86.3695

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.

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