Statistical Mechanics of Learning in the Presence of Outliers

Details Statistical Mechanics of Learning in the Presence of Outliers Statistical Mechanics of Learning in the Presence of Outliers

1998-03-26

arxiv.org/abs/cond-mat/9803316v2

J. Phys. A: Math. Gen. 31 (1998) 9131-9147

Physics

Condensed Matter

Disordered Systems and Neural Networks

24 pages, 7 figures (minor extensions added)

Scientific paper

10.1088/0305-4470/31/46/005

Using methods of statistical mechanics, we analyse the effect of outliers on the supervised learning of a classification problem. The learning strategy aims at selecting informative examples and discarding outliers. We compare two algorithms which perform the selection either in a soft or a hard way. When the fraction of outliers grows large, the estimation errors undergo a first order phase transition.

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