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Probabilistic Predictions With Fourier Neural Operators

MCML Authors

Abstract

Neural networks have been successfully applied in modeling partial differential equations, especially in dynamical systems. Commonly used models, such as neural operators, are performing well at deterministic prediction tasks, but lack a quantification of the uncertainty inherent in many complex systems, for example weather forecasting. In this paper, we explore a new approach that combines Fourier neural operators with generative modeling based on strictly proper scoring rules in order to create well-calibrated probabilistic predictions of dynamical systems. We demonstrate improved predictive uncertainty for our approach, especially in settings with very high inherent uncertainty.

inproceedings


BDU @NeurIPS 2024

Workshop Bayesian Decision-making and Uncertainty: from probabilistic and spatiotemporal modeling to sequential experiment design at the 38th Conference on Neural Information Processing Systems. Vancouver, Canada, Dec 10-15, 2024.

Authors

C. BülteP. SchollG. Kutyniok

Links

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Research Area

 A2 | Mathematical Foundations

BibTeXKey: BSK24

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