Statistical physics of independent component analysis

Details Statistical physics of independent component analysis Statistical physics of independent component analysis

2003-09-21

arxiv.org/abs/cond-mat/0309484v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 1 figure, to appear in Europhys. Letts

Scientific paper

10.1209/epl/i2003-00611-3

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.

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