Meta-PDE: Learning to Solve PDEs Quickly Without a Mesh

Meta-PDE: Learning to Solve PDEs Quickly Without a Mesh

3 November 2022

Papers citing "Meta-PDE: Learning to Solve PDEs Quickly Without a Mesh"

12 / 12 papers shown

Title
Enabling Automatic Differentiation with Mollified Graph Neural Operators Ryan Y. Lin Julius Berner Valentin Duruisseaux David Pitt Daniel Leibovici Jean Kossaifi Kamyar Azizzadenesheli Anima Anandkumar AI4CE 43 0 0 11 Apr 2025
Adaptive Physics-informed Neural Networks: A Survey Edgar Torres Jonathan Schiefer Mathias Niepert PINN AI4CE 63 0 0 23 Mar 2025
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations N. McGreivy Ammar Hakim AI4CE 29 42 0 09 Jul 2024
Meta-learning of Physics-informed Neural Networks for Efficiently Solving Newly Given PDEs Tomoharu Iwata Yusuke Tanaka N. Ueda AI4CE 13 2 0 20 Oct 2023
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology Qingsong Xu Yilei Shi Jonathan Bamber Ye Tuo Ralf Ludwig Xiao Xiang Zhu AI4CE 18 9 0 08 Oct 2023
Meta-Learning for Airflow Simulations with Graph Neural Networks Wenzhuo Liu Mouadh Yagoubi Marc Schoenauer AI4CE 19 0 0 18 Jun 2023
About optimal loss function for training physics-informed neural networks under respecting causality V. A. Es'kin Danil V. Davydov Ekaterina D. Egorova Alexey O. Malkhanov Mikhail A. Akhukov Mikhail E. Smorkalov PINN 16 7 0 05 Apr 2023
GPT-PINN: Generative Pre-Trained Physics-Informed Neural Networks toward non-intrusive Meta-learning of parametric PDEs Yanlai Chen Shawn Koohy PINN AI4CE 23 24 0 27 Mar 2023
Efficient physics-informed neural networks using hash encoding Xinquan Huang T. Alkhalifah 17 28 0 26 Feb 2023
Meta-learning PINN loss functions Apostolos F. Psaros Kenji Kawaguchi George Karniadakis PINN 35 97 0 12 Jul 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
Model-Agnostic Meta-Learning for Fast Adaptation of Deep Networks Chelsea Finn Pieter Abbeel Sergey Levine OOD 281 11,681 0 09 Mar 2017