OperatorSHAP: Fast and Accurate Shapley Value Estimation for Neural Operators
Provides a practical attribution method for safety-critical physical applications where data often comes from irregular grids and geometries.
OperatorSHAP enables fast and accurate Shapley value estimation for neural operators on irregular grids, achieving consistency with discrete Shapley values across resolutions and transferring across grid sizes without retraining.
Understanding model predictions is essential for physical applications, where outputs often inform safety-critical decisions, such as structural load assessment, weather warnings, and clinical diagnosis. Shapley values satisfy many desirable properties as an attribution method, but their computational cost during inference hinders their practical use. Current amortized explainers, such as FastSHAP, are limited to homogeneous inputs, which is problematic for physical applications where data often comes from irregular grids and geometries. We introduce OperatorSHAP, a grid-agnostic attribution method and training procedure that allows us to train FastSHAP-like explainers for neural operators. We establish a theoretical framework for attributions in function space, connecting to Aumann-Shapley values. We further show that OperatorSHAP's explanations are consistent with state-of-the-art discrete Shapley values across resolutions and transfer across grid sizes without retraining.