A Measure of Relative Robustness for Feedforward Neural Networks Subject to Small Input Perturbations

The relative robustness of artificial neural networks subject to small input perturbations (e.g. measurement noises) is an important issue in real world applications. This paper uses the concept of input-output sensitivity analysis to derive a relative network robustness measure for different feedforward neural network configurations. For illustration purposes, this measure is used to compare different neural network configurations designed for detecting incipient faults in induction motors. Analytical and simulation results are presented to show that the relative network robustness measure derived in this paper is an effective indicator of the relative performance of different feedforward neural network configurations in noisy environments and that this measure should be considered in the design of neural networks for real time applications. The concept of input-output sensitivity analysis and relative network robustness measure presented can be extended to analyze other neural networks designed for on-l...