Physics-Informed Neural Networks: Minimizing Residual Loss with Wide
Networks and Effective Activations

Physics-Informed Neural Networks: Minimizing Residual Loss with Wide Networks and Effective Activations

2 May 2024

Nima Hosseini Dashtbayaz

Papers citing "Physics-Informed Neural Networks: Minimizing Residual Loss with Wide Networks and Effective Activations"

16 / 16 papers shown

Title
Dual-Balancing for Physics-Informed Neural Networks Chenhong Zhou Jie Chen Zaifeng Yang Ching Eng Png PINN AI4CE 90 0 0 16 May 2025
Respecting causality is all you need for training physics-informed neural networks Sizhuang He Shyam Sankaran P. Perdikaris PINN CML AI4CE 131 200 0 14 Mar 2022
Periodic Activation Functions Induce Stationarity Lassi Meronen Martin Trapp Arno Solin BDL 47 21 0 26 Oct 2021
Learning in Sinusoidal Spaces with Physics-Informed Neural Networks Jian Cheng Wong C. Ooi Abhishek Gupta Yew-Soon Ong AI4CE PINN SSL 56 79 0 20 Sep 2021
Physics-informed neural networks (PINNs) for fluid mechanics: A review Shengze Cai Zhiping Mao Zhicheng Wang Minglang Yin George Karniadakis PINN AI4CE 66 1,183 0 20 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 484 2,397 0 18 Oct 2020
On the linearity of large non-linear models: when and why the tangent kernel is constant Chaoyue Liu Libin Zhu M. Belkin 104 141 0 02 Oct 2020
Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism L. McClenny U. Braga-Neto PINN 72 458 0 07 Sep 2020
When and why PINNs fail to train: A neural tangent kernel perspective Sizhuang He Xinling Yu P. Perdikaris 123 908 0 28 Jul 2020
A Method for Representing Periodic Functions and Enforcing Exactly Periodic Boundary Conditions with Deep Neural Networks S. Dong Naxian Ni 76 137 0 15 Jul 2020
Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks Colby Wight Jia Zhao 72 224 0 09 Jul 2020
Implicit Neural Representations with Periodic Activation Functions Vincent Sitzmann Julien N. P. Martel Alexander W. Bergman David B. Lindell Gordon Wetzstein AI4TS 125 2,548 0 17 Jun 2020
Understanding and mitigating gradient pathologies in physics-informed neural networks Sizhuang He Yujun Teng P. Perdikaris AI4CE PINN 89 294 0 13 Jan 2020
Width Provably Matters in Optimization for Deep Linear Neural Networks S. Du Wei Hu 57 95 0 24 Jan 2019
On the Spectral Bias of Neural Networks Nasim Rahaman A. Baratin Devansh Arpit Felix Dräxler Min Lin Fred Hamprecht Yoshua Bengio Aaron Courville 131 1,436 0 22 Jun 2018
Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations M. Raissi P. Perdikaris George Karniadakis PINN AI4CE 75 924 0 28 Nov 2017