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Shift-invariant neural network for image processing: learning and generalization

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Abstract

We have applied a shift-invariant back propagation neural network to the cells' boundary detection of human corneal endothelium photomicrographs. The interconnection patterns of the neural network are constrained to be spatially invariant. Our experiments demonstrated that the generalizing ability of the neural network is dependent on its connectivity or complexity, i.e., the number of connections. To get a better generalization, we have proposed a modified back propagation learning rule, which reduces the complexity of the neural network during the learning procedure. The measure of the complexity of the neural network was defined as a formal entropy of the connectivity pattern. Simulations showed that the neural network trained by this learning rule has better generalizing ability but more computational complexity. In this paper a simplified function is investigated as the measure of the complexity of the neural network. This simplified measure is a first order approximation of the formal entropy measure. Simulations show that the simplified measure is effective to get better generalization and has less computational complexity than the original formal entropy measure.

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