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Phys. Rev. Lett. 89, 108302 (2002) [4 pages]

Statistical Mechanics of Learning: A Variational Approach for Real Data

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Dörthe Malzahn and Manfred Opper
Neural Computing Research Group, School of Engineering and Applied Science, Aston University, Birmingham B4 7ET, United Kingdom

Received 10 January 2002; published 19 August 2002

Using a variational technique, we generalize the statistical physics approach of learning from random examples to make it applicable to real data. We demonstrate the validity and relevance of our method by computing approximate estimators for generalization errors that are based on training data alone.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.108302
DOI:
10.1103/PhysRevLett.89.108302
PACS:
84.35.+i, 02.50.–r, 05.20.–y, 87.18.Sn