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20162026
most citedFourier Neural Operator for Parametric Partial Differential Equations

1.1k citations · 4.1k across the 92 of their papers we have counts for

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19 papers · 1 filter

cs.LG2025

Physics-informed Neural-operator Predictive Control for Drag Reduction in Turbulent Flows

Zelin Zhao, Zongyi Li, Kimia Hassibi +5

Assessing turbulence control effects for wall friction numerically is a significant challenge since it requires expensive simulations of turbulent fluid dynamics. We instead propos…

eess.IV2025

Physics-Aware Neural Operators for Direct Inversion in 3D Photoacoustic Tomography

Jiayun Wang, Yousuf Aborahama, Arya Khokhar +10

Learning physics-constrained inverse operators-rather than post-processing physics-based reconstructions-is a broadly applicable strategy for problems with expensive forward models…

eess.SY2025

Neural Spline Operators for Risk Quantification in Stochastic Systems

Zhuoyuan Wang, Raffaele Romagnoli, Kamyar Azizzadenesheli +1

Accurately quantifying long-term risk probabilities in diverse stochastic systems is essential for safety-critical control. However, existing sampling-based and partial differentia…

physics.geo-ph2025

SPIDER: Scalable Probabilistic Inference for Differential Earthquake Relocation

Zachary E. Ross, John D. Wilding, Kamyar Azizzadenesheli +1

Seismicity catalogs are larger than ever due to an explosion of techniques for enhanced earthquake detection and an abundance of high-quality datasets. Bayesian inference is an app…

cs.LG2025

Scale-Consistent Learning for Partial Differential Equations

Zongyi Li, Samuel Lanthaler, Catherine Deng +4

Machine learning (ML) models have emerged as a promising approach for solving partial differential equations (PDEs) in science and engineering. Previous ML models typically cannot…

cs.CV2025

NeuralDMD: Interpretable Neural Representation of Dynamics from Sparse and Noisy Measurements

Ali SaraerToosi, Renbo Tu, Esther Y. H. Lin +2

Many challenges in scientific imaging involve solving ill-posed inverse problems, where the goal is to recover spatio-temporal fields from indirect, noisy, and highly sparse measur…