A new definition of sensitivity for RBFNN and its applications to feature reduction

Authors:
Xizhao Wang;Chunguo Li
Affiliations:
Faculty of Mathematics and Computer Science, Hebei University, Baoding, Hebei, China;Faculty of Mathematics and Computer Science, Hebei University, Baoding, Hebei, China
Venue:
ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
Year:
2005

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Abstract

Due to the existence of redundant features, the Radial-Basis Function Neural Network (RBFNN) which is trained from a dataset is likely to be huge. Sensitivity analysis technique usually could help to reduce the features by deleting insensitive features. Considering the perturbation of network output as a random variable, this paper defines a new sensitivity formula which is the limit of variance of output perturbation with respect to the input perturbation going to zero. To simplify the sensitivity expression and computation, we prove that the exchange between limit and variance is valid. A formula for computing the new sensitivity of individual features is derived. Numerical simulations show that the new sensitivity definition can be used to remove irrelevant features effectively.