On the number and the distribution of RBF centers
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TL;DR
Two observations on the design of RBF networks are reported regarding their approximation capabilities: the influence of the number and the distribution of their centers.
Abstract
Neural networks used for supervised learning need to be optimized regarding two aspects: approximation and generalization. The network needs good approximation capabilities in order to fit the training data adequately. The network also needs good generalization capabilities, because it will be used with data not seen during training. Two observations on the design of RBF networks are reported regarding their approximation capabilities: the influence of the number and the distribution of their centers. The new concept of second derivative dependent center distribution is illustrated experimentally.
