Statistical physics of independent component analysis
Disordered Systems and Neural Networks
2009-11-10 v1
Abstract
Statistical physics is used to investigate independent component analysis with polynomial contrast functions. While the replica method fails, an adapted cavity approach yields valid results. The learning curves, obtained in a suitable thermodynamic limit, display a first order phase transition from poor to perfect generalization.
Cite
@article{arxiv.cond-mat/0309484,
title = {Statistical physics of independent component analysis},
author = {R. Urbanczik},
journal= {arXiv preprint arXiv:cond-mat/0309484},
year = {2009}
}
Comments
7 pages, 1 figure, to appear in Europhys. Letts