Neural Network Approximations of PDEs Beyond Linearity: A
Representational Perspective

Neural Network Approximations of PDEs Beyond Linearity: A Representational Perspective

21 October 2022

Zachary Chase Lipton

Andrej Risteski

Papers citing "Neural Network Approximations of PDEs Beyond Linearity: A Representational Perspective"

6 / 6 papers shown

Title
U-Nets as Belief Propagation: Efficient Classification, Denoising, and Diffusion in Generative Hierarchical Models Song Mei 3DV AI4CE DiffM 41 11 0 29 Apr 2024
Statistical Spatially Inhomogeneous Diffusion Inference Yinuo Ren Yiping Lu Lexing Ying Grant M. Rotskoff 10 2 0 10 Dec 2023
A Priori Generalization Error Analysis of Two-Layer Neural Networks for Solving High Dimensional Schrödinger Eigenvalue Problems Jianfeng Lu Yulong Lu 29 29 0 04 May 2021
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 203 2,282 0 18 Oct 2020
MetNet: A Neural Weather Model for Precipitation Forecasting C. Sønderby L. Espeholt Jonathan Heek Mostafa Dehghani Avital Oliver Tim Salimans Shreya Agrawal Jason Hickey Nal Kalchbrenner AI4Cl 222 273 0 24 Mar 2020
Lagrangian Neural Networks M. Cranmer S. Greydanus Stephan Hoyer Peter W. Battaglia D. Spergel S. Ho PINN 130 422 0 10 Mar 2020