OperatorSHAP: Fast and Accurate Shapley Value Estimation for Neural Operators
OperatorSHAP addresses a critical bottleneck in deploying explainable AI for physics-informed applications. While Shapley values provide theoretically sound attribution, their computational overhead has blocked real-world adoption in safety-critical domains like structural engineering and medical imaging. This work extends fast amortized explanation methods to handle irregular geometries and non-Euclidean data structures common in scientific computing, establishing a formal framework for attributions in function space. The advance matters because it bridges the gap between interpretability research and practical deployment constraints that practitioners face when building trustworthy models for high-stakes decisions.
Modelwire context
ExplainerThe key distinction here is that OperatorSHAP doesn't just speed up existing Shapley methods on standard tabular or image data. It handles the structural mismatch that arises when your inputs are functions defined on irregular meshes rather than fixed-length vectors, which is precisely the input format that scientific ML models consume.
This connects directly to the physics-constrained neural network work covered the same day ('Physics-constrained neural networks for surrogate modeling of lossless periodic structures'). That paper demonstrated how to embed hard physical constraints into surrogate models for optical design, but said nothing about how engineers would later audit or explain those models' decisions. OperatorSHAP fills exactly that gap: once you have a physics-informed neural operator making predictions on irregular geometries, you need attribution methods that respect that same structure. The wearable telemetry work ('Autoencoder Architectures for Athlete Performance Scoring') also touched on interpretability-first model selection, reinforcing that explainability is becoming a design constraint rather than an afterthought across applied ML domains.
Watch whether any of the established neural operator frameworks (DeepONet, FNO-based toolkits) integrate OperatorSHAP within the next six months. Adoption there would signal that the method generalizes cleanly across operator architectures rather than fitting only the specific geometry types tested in this paper.
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MentionsOperatorSHAP · FastSHAP · Shapley values · neural operators
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