Decision boundary and generalization performance of feed-forward networks with Gaussian lateral connections

Ravi Kothari; David Ensley

doi:10.1117/12.304820

25 March 1998 Decision boundary and generalization performance of feed-forward networks with Gaussian lateral connections

Ravi Kothari, David Ensley

Author Affiliations +

Proceedings Volume 3390, Applications and Science of Computational Intelligence; (1998) https://doi.org/10.1117/12.304820
Event: Aerospace/Defense Sensing and Controls, 1998, Orlando, FL, United States

Abstract

The hidden layer neurons in a multi-layered feed-forward neural network serve a critical role. From one perspective, the hidden layer neurons establish (linear) decision boundaries in the feature space. These linear decision boundaries are then combined by succeeding layers leading to convex-open and thereafter arbitrarily shaped decision boundaries. In this paper we show that the use of unidirectional Gaussian lateral connections from a hidden layer neuron to an adjacent hidden layer leads to a much richer class of decision boundaries. In particular the proposed class of networks has the advantage of sigmoidal feed-forward networks (global characteristics) but with the added flexibility of being able to represent local structure. An algorithm to train the proposed network is presented and its training and validation performance shown using a simple classification problem.

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Ravi Kothari and David Ensley "Decision boundary and generalization performance of feed-forward networks with Gaussian lateral connections", Proc. SPIE 3390, Applications and Science of Computational Intelligence, (25 March 1998); https://doi.org/10.1117/12.304820

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