PAC Confidence Sets for Deep Neural Networks via Calibrated Prediction

ICLR 2020 · Sangdon Park, Osbert Bastani, Nikolai Matni, Insup Lee ·

We propose an algorithm combining calibrated prediction and generalization bounds from learning theory to construct confidence sets for deep neural networks with PAC guarantees---i.e., the confidence set for a given input contains the true label with high probability. We demonstrate how our approach can be used to construct PAC confidence sets on ResNet for ImageNet, a visual object tracking model, and a dynamics model for the half-cheetah reinforcement learning problem.