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arxiv: cond-mat/0309484 · v1 · submitted 2003-09-21 · ❄️ cond-mat.dis-nn

Statistical physics of independent component analysis

classification ❄️ cond-mat.dis-nn
keywords analysiscomponentindependentphysicsstatisticaladaptedapproachcavity
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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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