Random Grid Neural Processes for Parametric Partial Differential
Equations

Random Grid Neural Processes for Parametric Partial Differential Equations

26 January 2023

Arnaud Vadeboncoeur

Ieva Kazlauskaite

Ömer Deniz Akyildiz

Papers citing "Random Grid Neural Processes for Parametric Partial Differential Equations"

14 / 14 papers shown

Title
DGNO: A Novel Physics-aware Neural Operator for Solving Forward and Inverse PDE Problems based on Deep, Generative Probabilistic Modeling Yaohua Zang P. Koutsourelakis AI4CE 61 1 0 10 Feb 2025
Dual Cone Gradient Descent for Training Physics-Informed Neural Networks Youngsik Hwang Dong-Young Lim AI4CE 51 2 0 27 Sep 2024
A Primer on Variational Inference for Physics-Informed Deep Generative Modelling Alex Glyn-Davies Arnaud Vadeboncoeur O. Deniz Akyildiz Ieva Kazlauskaite Mark Girolami PINN 75 0 0 10 Sep 2024
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs with applications in heterogeneous media Matthaios Chatzopoulos P. Koutsourelakis AI4CE 44 3 0 29 May 2024
Efficient Prior Calibration From Indirect Data O. Deniz Akyildiz Mark Girolami Andrew M. Stuart Arnaud Vadeboncoeur 47 1 0 28 May 2024
Rényi Neural Processes Xuesong Wang He Zhao Edwin V. Bonilla UQCV BDL 37 0 0 25 May 2024
Generating synthetic data for neural operators Erisa Hasani Rachel A. Ward AI4CE 72 8 0 04 Jan 2024
Tractable Function-Space Variational Inference in Bayesian Neural Networks Tim G. J. Rudner Zonghao Chen Yee Whye Teh Y. Gal 85 39 0 28 Dec 2023
Ensemble models outperform single model uncertainties and predictions for operator-learning of hypersonic flows Victor J. Leon Noah Ford Honest Mrema Jeffrey Gilbert Alexander New UQCV AI4CE 28 0 0 31 Oct 2023
Neural Conservation Laws: A Divergence-Free Perspective Jack Richter-Powell Y. Lipman Ricky T. Q. Chen 56 51 0 04 Oct 2022
Fully probabilistic deep models for forward and inverse problems in parametric PDEs Arnaud Vadeboncoeur Ömer Deniz Akyildiz Ieva Kazlauskaite Mark Girolami F. Cirak AI4CE 35 17 0 09 Aug 2022
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries Zong-Yi Li Daniel Zhengyu Huang Burigede Liu Anima Anandkumar AI4CE 122 256 0 11 Jul 2022
On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks Sizhuang He Hanwen Wang P. Perdikaris 138 442 0 18 Dec 2020
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 271 2,315 0 18 Oct 2020