A multi-interacting perceptron model with continuous outputs
R.M.C. de Almeida and
E. Botelho
Physica A: Statistical Mechanics and its Applications, 1997, vol. 242, issue 1, 27-37
Abstract:
We consider learning and generalization of real functions by a multi-interacting feed-forward network model with continuous outputs with invertible transfer functions. The expansion in different multi-interacting orders provides a classification for the functions to be learnt and suggests the learning rules, that reduce to the Hebb-learning rule only for the second order, linear perceptron. The over-sophistication problem is straightforwardly overcome by a natural cutoff in the multi-interacting synapses: the student is able to learn the architecture of the target rule, that is, the simpler a rule is the faster the multi-interacting perception may learn. Simulation results are in excellent agreement with analytical calculations.
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:242:y:1997:i:1:p:27-37
DOI: 10.1016/S0378-4371(97)00188-X
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