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With the recent rise of neural operators, scientific machine learning offers new solutions to quantify uncertainties associated with high-fidelity numerical simulations.
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“Fourier Neural Operator for Parametric Partial Differential Equations”, 2021
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Shunsuke Homma et al · 2014
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“Deep Learning”
Yann LeCun, Yoshua Bengio and Geoffrey Hinton · 2015
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“Quantification of Model Uncertainty in RANS Simulations: A Review”
Heng Xiao and Paola Cinnella · 2018
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“Bayesian Inference of Earthquake Rupture Models Using Polynomial Chaos Expansion”
Hugo Cruz-Jiménez et al · 2018
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“Physics-Informed Neural Networks: A Deep Learning Framework for Solving Forward and Inverse Problems Involving Nonlinear Partial Differential Equations”
M. Raissi, P. Perdikaris and G.E. Karniadakis · 2018
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“Generalized Seismic Phase Detection with Deep Learning”
Zachary. Ross, Men‐Andrin Meier, Egill Hauksson and Thomas. Heaton · 2018
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“Key Structural Parameters Affecting Earthquake Ground Motion in 2D and 3D Sedimentary Structures”
Peter Moczo et al · 2018
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“Seismic Aggravation in Shallow Basins in Addition to One-dimensional Site Amplification”
Chuanbin Zhu et al · 2018
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“A Global Sensitivity Analysis Framework for Hybrid Simulation”
G. Abbiati et al · 2020
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“Model Reduction for Large-Scale Earthquake Simulation in an Uncertain 3D Medium”
Pierre Sochala, F. De and O. Leître · 2020
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“Physics-Informed Machine Learning”
George Karniadakis et al · 2021
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“Learning Nonlinear Operators via DeepONet Based on the Universal Approximation Theorem of Operators”
Lu Lu et al · 2021
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“Seismic Wave Propagation and Inversion with Neural Operators”
Yan Yang et al · 2021
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“High-Frequency Wavefield Extrapolation Using the Fourier Neural Operator”
Chao Song and Yanghua Wang · 2022
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“Solving Seismic Wave Equations on Variable Velocity Models with Fourier Neural Operator”, 2022
Bian Li, Hanchen Wang, Xiu Yang and Youzuo Lin · 2022
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“Small-Data-Driven Fast Seismic Simulations for Complex Media Using Physics-Informed Fourier Neural Operators”
Wei Wei and Li-Yun Fu · 2022
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“Rapid Seismic Waveform Modeling and Inversion with Universal Neural Operators”, 2022
Yan Yang et al · 2022
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Wenhui Peng, Zelong Yuan, Zhijie Li and Jianchun Wang · 2022
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