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"

5 / 5 papers shown

Title
U-Nets as Belief Propagation: Efficient Classification, Denoising, and Diffusion in Generative Hierarchical Models Song Mei 3DV AI4CE DiffM 29 11 0 29 Apr 2024
A Priori Generalization Error Analysis of Two-Layer Neural Networks for Solving High Dimensional Schrödinger Eigenvalue Problems Jianfeng Lu Yulong Lu 24 27 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 197 2,254 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 204 242 0 24 Mar 2020
Lagrangian Neural Networks M. Cranmer S. Greydanus Stephan Hoyer Peter W. Battaglia D. Spergel S. Ho PINN 118 364 0 10 Mar 2020