Is $L^2$ Physics-Informed Loss Always Suitable for Training
Physics-Informed Neural Network?

Is $L^2$ Physics-Informed Loss Always Suitable for Training Physics-Informed Neural Network?

4 June 2022

Papers citing "Is $L^2$ Physics-Informed Loss Always Suitable for Training Physics-Informed Neural Network?"

17 / 17 papers shown

Title
Differential equation quantum solvers: engineering measurements to reduce cost Annie Paine Casper Gyurik Antonio Andrea Gentile 37 0 0 28 Mar 2025
BeamVQ: Beam Search with Vector Quantization to Mitigate Data Scarcity in Physical Spatiotemporal Forecasting Weiyan Wang Xingjian Shi Ruiqi Shu Yuan Gao Rui Chen ... Shuaipeng Li Yangyu Tao Di Wang Hao Wu Xiaomeng Huang 64 0 0 26 Feb 2025
BeamVQ: Aligning Space-Time Forecasting Model via Self-training on Physics-aware Metrics Hao Wu Xingjian Shi Ziyue Huang Penghao Zhao Wei Xiong Jinbao Xue Yangyu Tao Xiaomeng Huang Weiyan Wang AI4TS 58 1 0 27 May 2024
Feature Mapping in Physics-Informed Neural Networks (PINNs) Chengxi Zeng T. Burghardt A. Gambaruto 41 1 0 10 Feb 2024
Approximation of Solution Operators for High-dimensional PDEs Nathan Gaby Xiaojing Ye 30 0 0 18 Jan 2024
Bias-Variance Trade-off in Physics-Informed Neural Networks with Randomized Smoothing for High-Dimensional PDEs Zheyuan Hu Zhouhao Yang Yezhen Wang George Karniadakis Kenji Kawaguchi 49 9 0 26 Nov 2023
Investigating the Ability of PINNs To Solve Burgers' PDE Near Finite-Time BlowUp Dibyakanti Kumar Anirbit Mukherjee 31 2 0 08 Oct 2023
An Expert's Guide to Training Physics-informed Neural Networks Sizhuang He Shyam Sankaran Hanwen Wang P. Perdikaris PINN 28 97 0 16 Aug 2023
Learning Specialized Activation Functions for Physics-informed Neural Networks Honghui Wang Lu Lu Shiji Song Gao Huang PINN AI4CE 16 11 0 08 Aug 2023
Tackling the Curse of Dimensionality with Physics-Informed Neural Networks Zheyuan Hu K. Shukla George Karniadakis Kenji Kawaguchi PINN AI4CE 65 85 0 23 Jul 2023
Forward Laplacian: A New Computational Framework for Neural Network-based Variational Monte Carlo Rui Li Hao-Tong Ye Du Jiang Xuelan Wen Chuwei Wang ... Xiang Li Di He Ji Chen Weiluo Ren Liwei Wang 35 10 0 17 Jul 2023
$Toward $L_\infty$-recovery of Nonlinear Functions: A Polynomial Sample Complexity Bound for Gaussian Random Fields$ Toward $L_\infty$ -recovery of Nonlinear Functions: A Polynomial Sample Complexity Bound for Gaussian Random Fields Kefan Dong Tengyu Ma 35 4 0 29 Apr 2023
A Neural PDE Solver with Temporal Stencil Modeling Zhiqing Sun Yiming Yang Shinjae Yoo DiffM AI4CE 24 14 0 16 Feb 2023
Neural Control of Parametric Solutions for High-dimensional Evolution PDEs Nathan Gaby X. Ye Haomin Zhou 11 6 0 31 Jan 2023
Robust Regression with Highly Corrupted Data via Physics Informed Neural Networks Wei Peng Wenjuan Yao Weien Zhou Xiaoya Zhang Weijie Yao PINN 48 5 0 19 Oct 2022
Mitigating Propagation Failures in Physics-informed Neural Networks using Retain-Resample-Release (R3) Sampling Arka Daw Jie Bu Sizhuang He P. Perdikaris Anuj Karpatne AI4CE 18 45 0 05 Jul 2022
Learning Physics-Informed Neural Networks without Stacked Back-propagation Di He Shanda Li Wen-Wu Shi Xiaotian Gao Jia Zhang Jiang Bian Liwei Wang Tie-Yan Liu DiffM PINN AI4CE 16 23 0 18 Feb 2022