Distribution-Free Uncertainty-Aware Virtual Sensing via Conformalized Neural Operators
- URL: http://arxiv.org/abs/2507.11574v1
- Date: Tue, 15 Jul 2025 04:26:40 GMT
- Title: Distribution-Free Uncertainty-Aware Virtual Sensing via Conformalized Neural Operators
- Authors: Kazuma Kobayashi, Shailesh Garg, Farid Ahmed, Souvik Chakraborty, Syed Bahauddin Alam,
- Abstract summary: Conformalized Monte Carlo Operator (CMCO) transforms neural operator-based virtual sensing with calibrated, distribution-free prediction intervals.<n>CMCO achieves spatially resolved uncertainty estimates without retraining, ensembling, or custom loss design.<n>This breakthrough offers a general-purpose, plug-and-play UQ solution for neural operators, unlocking real-time, trustworthy inference in digital twins, sensor fusion, and safety-critical monitoring.
- Score: 1.7864593554171284
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Robust uncertainty quantification (UQ) remains a critical barrier to the safe deployment of deep learning in real-time virtual sensing, particularly in high-stakes domains where sparse, noisy, or non-collocated sensor data are the norm. We introduce the Conformalized Monte Carlo Operator (CMCO), a framework that transforms neural operator-based virtual sensing with calibrated, distribution-free prediction intervals. By unifying Monte Carlo dropout with split conformal prediction in a single DeepONet architecture, CMCO achieves spatially resolved uncertainty estimates without retraining, ensembling, or custom loss design. Our method addresses a longstanding challenge: how to endow operator learning with efficient and reliable UQ across heterogeneous domains. Through rigorous evaluation on three distinct applications: turbulent flow, elastoplastic deformation, and global cosmic radiation dose estimation-CMCO consistently attains near-nominal empirical coverage, even in settings with strong spatial gradients and proxy-based sensing. This breakthrough offers a general-purpose, plug-and-play UQ solution for neural operators, unlocking real-time, trustworthy inference in digital twins, sensor fusion, and safety-critical monitoring. By bridging theory and deployment with minimal computational overhead, CMCO establishes a new foundation for scalable, generalizable, and uncertainty-aware scientific machine learning.
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