RiemannONets: Interpretable Neural Operators for Riemann Problems

RiemannONets: Interpretable Neural Operators for Riemann Problems

16 January 2024

Ameya Dilip Jagtap

George Karniadakis

Papers citing "RiemannONets: Interpretable Neural Operators for Riemann Problems"

11 / 11 papers shown

Title
Anant-Net: Breaking the Curse of Dimensionality with Scalable and Interpretable Neural Surrogate for High-Dimensional PDEs Sidharth S. Menon Ameya D. Jagtap PINN 130 0 0 06 May 2025
Mitigating Spectral Bias in Neural Operators via High-Frequency Scaling for Physical Systems Siavash Khodakarami Vivek Oommen Aniruddha Bora George Karniadakis AI4CE 60 1 0 17 Mar 2025
Variational autoencoders with latent high-dimensional steady geometric flows for dynamics Andrew Gracyk DRL 63 0 0 03 Jan 2025
A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Sumanth Kumar Boya Deepak Subramani AI4CE 94 0 0 12 Dec 2024
Integrating Neural Operators with Diffusion Models Improves Spectral Representation in Turbulence Modeling Vivek Oommen Aniruddha Bora Zhen Zhang George Karniadakis DiffM 45 13 0 13 Sep 2024
Reduced-Order Neural Operators: Learning Lagrangian Dynamics on Highly Sparse Graphs Hrishikesh Viswanath Yue Chang Julius Berner Peter Yichen Chen Aniket Bera AI4CE 58 2 0 04 Jul 2024
Ensemble and Mixture-of-Experts DeepONets For Operator Learning Ramansh Sharma Varun Shankar 52 0 0 20 May 2024
Rethinking materials simulations: Blending direct numerical simulations with neural operators Vivek Oommen K. Shukla Saaketh Desai Rémi Dingreville George Karniadakis AI4CE 51 16 0 08 Dec 2023
Towards Multi-spatiotemporal-scale Generalized PDE Modeling Jayesh K. Gupta Johannes Brandstetter AI4CE 53 117 0 30 Sep 2022
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 205 2,282 0 18 Oct 2020
U-Net: Convolutional Networks for Biomedical Image Segmentation Olaf Ronneberger Philipp Fischer Thomas Brox SSeg 3DV 294 75,800 0 18 May 2015