Epistemic Uncertainty Quantification For Pre-Trained Neural Networks
Authors: Hanjing Wang, Qiang Ji

Epistemic uncertainty quantification (UQ) identifies where models lack knowledge. Traditional UQ methods often based on Bayesian neural networks are not suitable for pre-trained non-Bayesian models. Our study addresses quantifying epistemic uncertainty for any pre-trained model which does not need the original training data or model modifications and can ensure broad applicability regardless of network architectures or training techniques. Specifically we propose a gradient-based approach to assess epistemic uncertainty analyzing the gradients of outputs relative to model parameters and thereby indicating necessary model adjustments to accurately represent the inputs. We first explore theoretical guarantees of gradient-based methods for epistemic UQ questioning the view that this uncertainty is only calculable through differences between multiple models. We further improve gradient-driven UQ by using class-specific weights for integrating gradients and emphasizing distinct contributions from neural network layers. Additionally we enhance UQ accuracy by combining gradient and perturbation methods to refine the gradients. We evaluate our approach on out-of-distribution detection uncertainty calibration and active learning demonstrating its superiority over current state-of-the-art UQ methods for pre-trained models.