Bayes-optimal performance in a discrete space

Details Bayes-optimal performance in a discrete space Bayes-optimal performance in a discrete space

1999-06-24

arxiv.org/abs/cond-mat/9906356v3

J. Phys. A: Math. Gen. 32, L555-L560 (1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 1 figure; small changes

Scientific paper

10.1088/0305-4470/32/3/010

We study a simple model of unsupervised learning where the single symmetry breaking vector has binary components $\pm 1$. We calculate exactly the Bayes-optimal performance of an estimator which is required to lie in the same discrete space. We also show that, except for very special cases, such an estimator cannot be obtained by minimization of a class of variationally optimal potentials.

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