On-line learning and generalisation in coupled perceptrons

Details On-line learning and generalisation in coupled perceptrons On-line learning and generalisation in coupled perceptrons

2001-11-26

arxiv.org/abs/cond-mat/0111493v1

J. Phys A 35, 2093 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Latex, 21 pages, 9 figures, iop style files included

Scientific paper

10.1088/0305-4470/35/9/302

We study supervised learning and generalisation in coupled perceptrons trained on-line using two learning scenarios. In the first scenario the teacher and the student are independent networks and both are represented by an Ashkin-Teller perceptron. In the second scenario the student and the teacher are simple perceptrons but are coupled by an Ashkin-Teller type four-neuron interaction term. Expressions for the generalisation error and the learning curves are derived for various learning algorithms. The analytic results find excellent confirmation in numerical simulations.

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