Title: Sensitivity Analysis of Deep Neural Networks,
Abstract: Deep neural networks (DNNs) have achieved superior performance in various
prediction tasks, but can be very vulnerable to adversarial examples or
perturbations. Therefore, it is crucial to measure the sensitivity of DNNs to
various forms of perturbations in real applications. We introduce a novel
perturbation manifold and its associated influence measure to quantify the
effects of various perturbations on DNN classifiers. Such perturbations include
various external and internal perturbations to input samples and network
parameters. The proposed measure is motivated by information geometry and
provides desirable invariance properties. We demonstrate that our influence
measure is useful for four model building tasks: detecting potential
'outliers', analyzing the sensitivity of model architectures, comparing network
sensitivity between training and test sets, and locating vulnerable areas.
Experiments show reasonably good performance of the proposed measure for the
popular DNN models ResNet50 and DenseNet121 on CIFAR10 and MNIST datasets.