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|Title: ||Unsupervised learning by examples: On-line versus off-line|
|Authors: ||VAN DEN BROECK, Christian|
|Issue Date: ||1996|
|Publisher: ||AMERICAN PHYSICAL SOC|
|Citation: ||PHYSICAL REVIEW LETTERS, 76(12). p. 2188-2191|
|Abstract: ||We study both on-line and off-line unsupervised learning from p random patterns which are uniformly distributed on the N-sphere with the exception of a single symmetry breaking orientation B, along which they may be arbitrarily distributed. Supervised learning from the same kind of patterns is included as a special case. In the thermodynamic limit N --> infinity with alpha = p/N fixed we calculate the overlap R(alpha)= B . J/\J\\B\ between the unknown ''true'' B and the optimal ''Bayes'' hypothesis J with particular emphasis on the small and large cu asymptotics and the phenomenon of retarded learning. Finally, we identify a cost function whose minimum reproduces the off-line Bayes overlap.|
|Notes: ||VandenBroeck, C, LIMBURGS UNIV CENTRUM,B-3590 DIEPENBEEK,BELGIUM.|
|ISI #: ||A1996TZ98400051|
|Type: ||Journal Contribution|
|Appears in Collections: ||Research publications|
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