Abstract:In this article, we introduce the "functionally weighted neural network, " a new addition to the rich collection of artificial neural networks. Instead of a finite number of discrete nodes, we consider an infinite number of continuously distributed nodes. The weights assume a functional form, and the sum over the nodes becomes an integral. The gain is a significant reduction in the number of adjustable parameters, accompanied by an enhanced generalization performance. To quantitatively assess the quality of th… Show more
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