On-line learning in a discrete state space

Details On-line learning in a discrete state space On-line learning in a discrete state space

1997-05-26

arxiv.org/abs/cond-mat/9705257v1

Physics

Condensed Matter

7 pages, 1 Figure, Latex, submitted to J.Phys.A

Scientific paper

On-line learning of a rule given by an N-dimensional Ising perceptron, is
considered for the case when the student is constrained to take values in a
discrete state space of size $L^N$. For L=2 no on-line algorithm can achieve a
finite overlap with the teacher in the thermodynamic limit. However, if $L$ is
on the order of $\sqrt{N}$, Hebbian learning does achieve a finite overlap.

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