Characterizing possible failure modes in physics-informed neural networks

2 September 2021

Aditi S. Krishnapriyan

Papers citing "Characterizing possible failure modes in physics-informed neural networks"

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Neural PDE Solvers for Irregular Domains Biswajit Khara Ethan Herron Zhanhong Jiang Aditya Balu Chih-Hsuan Yang ... Anushrut Jignasu S. Sarkar C. Hegde A. Krishnamurthy Baskar Ganapathysubramanian AI4CE 24 7 0 07 Nov 2022
Embed and Emulate: Learning to estimate parameters of dynamical systems with uncertainty quantification Ruoxi Jiang Rebecca Willett 25 6 0 03 Nov 2022
Combined space-time reduced-order model with 3D deep convolution for extrapolating fluid dynamics Indu Kant Deo Rui Gao R. Jaiman AI4CE 22 0 0 01 Nov 2022
Neuro-symbolic partial differential equation solver Pouria A. Mistani Samira Pakravan Rajesh Ilango S. Choudhry Frédéric Gibou 31 1 0 25 Oct 2022
JAX-DIPS: Neural bootstrapping of finite discretization methods and application to elliptic problems with discontinuities Pouria A. Mistani Samira Pakravan Rajesh Ilango Frédéric Gibou 16 8 0 25 Oct 2022
SeismicNet: Physics-informed neural networks for seismic wave modeling in semi-infinite domain Pu Ren Chengping Rao Su Chen Jian-Xun Wang Hao Sun Yang Liu 44 41 0 25 Oct 2022
Less Emphasis on Difficult Layer Regions: Curriculum Learning for Singularly Perturbed Convection-Diffusion-Reaction Problems Yufeng Wang Cong Xu Min Yang Jin Zhang 11 4 0 23 Oct 2022
Meta Learning of Interface Conditions for Multi-Domain Physics-Informed Neural Networks Shibo Li Michael Penwarden Yiming Xu Conor Tillinghast Akil Narayan Robert M. Kirby Shandian Zhe AI4CE 18 4 0 23 Oct 2022
Tunable Complexity Benchmarks for Evaluating Physics-Informed Neural Networks on Coupled Ordinary Differential Equations Alexander New B. Eng A. Timm A. Gearhart 20 4 0 14 Oct 2022
PDEBENCH: An Extensive Benchmark for Scientific Machine Learning M. Takamoto T. Praditia Raphael Leiteritz Dan MacKinlay Francesco Alesiani Dirk Pflüger Mathias Niepert AI4CE 30 209 0 13 Oct 2022
A Unified Hard-Constraint Framework for Solving Geometrically Complex PDEs Songming Liu Zhongkai Hao Chengyang Ying Hang Su Jun Zhu Ze Cheng AI4CE 18 17 0 06 Oct 2022
Homotopy-based training of NeuralODEs for accurate dynamics discovery Joon-Hyuk Ko Hankyul Koh Nojun Park W. Jhe 46 8 0 04 Oct 2022
Random Weight Factorization Improves the Training of Continuous Neural Representations Sizhuang He Hanwen Wang Jacob H. Seidman P. Perdikaris 26 10 0 03 Oct 2022
Failure-informed adaptive sampling for PINNs Zhiwei Gao Liang Yan Tao Zhou 18 77 0 01 Oct 2022
Implicit Neural Spatial Representations for Time-dependent PDEs Honglin Chen Rundi Wu E. Grinspun Changxi Zheng Julius Berner AI4CE 25 33 0 30 Sep 2022
Variationally Mimetic Operator Networks Dhruv V. Patel Deep Ray M. Abdelmalik T. Hughes Assad A. Oberai 55 23 0 26 Sep 2022
Deep Reinforcement Learning for Adaptive Mesh Refinement C. Foucart A. Charous Pierre FJ Lermusiaux AI4CE 41 22 0 25 Sep 2022
A novel corrective-source term approach to modeling unknown physics in aluminum extraction process Haakon Robinson E. Lundby Adil Rasheed J. Gravdahl 20 5 0 22 Sep 2022
Approximating the full-field temperature evolution in 3D electronic systems from randomized "Minecraft" systems Monika Stipsitz H. Sanchis-Alepuz AI4CE 21 2 0 21 Sep 2022
Investigating and Mitigating Failure Modes in Physics-informed Neural Networks (PINNs) S. Basir PINN AI4CE 31 21 0 20 Sep 2022
Residual-Quantile Adjustment for Adaptive Training of Physics-informed Neural Network Jiayue Han Zhiqiang Cai Zhiyou Wu Xiang Zhou 44 7 0 09 Sep 2022
Solving Elliptic Problems with Singular Sources using Singularity Splitting Deep Ritz Method Tianhao Hu Bangti Jin Zhi Zhou 31 6 0 07 Sep 2022
NeuralSI: Structural Parameter Identification in Nonlinear Dynamical Systems Xuyang Li H. Bolandi Talal Salem N. Lajnef Vishnu Naresh Boddeti 19 2 0 26 Aug 2022
Domain-aware Control-oriented Neural Models for Autonomous Underwater Vehicles Wenceslao Shaw-Cortez Soumya Vasisht Aaron Tuor Ján Drgoňa D. Vrabie AI4CE 15 0 0 15 Aug 2022
PIXEL: Physics-Informed Cell Representations for Fast and Accurate PDE Solvers Namgyu Kang Byeonghyeon Lee Youngjoon Hong S. Yun Eunbyung Park PINN AI4CE 22 13 0 26 Jul 2022
Thermodynamics of learning physical phenomena Elías Cueto Francisco Chinesta AI4CE 25 22 0 26 Jul 2022
A comprehensive study of non-adaptive and residual-based adaptive sampling for physics-informed neural networks Chen-Chun Wu Min Zhu Qinyan Tan Yadhu Kartha Lu Lu 32 352 0 21 Jul 2022
Learning differentiable solvers for systems with hard constraints Geoffrey Negiar Michael W. Mahoney Aditi S. Krishnapriyan 31 28 0 18 Jul 2022
Earthformer: Exploring Space-Time Transformers for Earth System Forecasting Zhihan Gao Xingjian Shi Hao Wang Yi Zhu Yuyang Wang Mu Li Dit-Yan Yeung AI4TS 39 149 0 12 Jul 2022
Adaptive Self-supervision Algorithms for Physics-informed Neural Networks Shashank Subramanian Robert M. Kirby Michael W. Mahoney A. Gholami 30 25 0 08 Jul 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 21 45 0 05 Jul 2022
Evaluating Error Bound for Physics-Informed Neural Networks on Linear Dynamical Systems Shuheng Liu Xiyue Huang P. Protopapas PINN 24 5 0 03 Jul 2022
Momentum Diminishes the Effect of Spectral Bias in Physics-Informed Neural Networks G. Farhani Alexander Kazachek Boyu Wang 21 6 0 29 Jun 2022
Deep Random Vortex Method for Simulation and Inference of Navier-Stokes Equations Rui Zhang Peiyan Hu Qi Meng Yue Wang Rongchan Zhu Bingguang Chen Zhi-Ming Ma Tie-Yan Liu 12 13 0 20 Jun 2022
Characterizing and Mitigating the Difficulty in Training Physics-informed Artificial Neural Networks under Pointwise Constraints S. Basir Inanc Senocak AI4CE 27 1 0 19 Jun 2022
Explaining the physics of transfer learning a data-driven subgrid-scale closure to a different turbulent flow Adam Subel Yifei Guan A. Chattopadhyay P. Hassanzadeh AI4CE 32 41 0 07 Jun 2022
Is $L^2$ Physics-Informed Loss Always Suitable for Training Physics-Informed Neural Network? Chuwei Wang Shanda Li Di He Liwei Wang AI4CE PINN 31 28 0 04 Jun 2022
Physical Activation Functions (PAFs): An Approach for More Efficient Induction of Physics into Physics-Informed Neural Networks (PINNs) J. Abbasi Paal Ostebo Andersen PINN AI4CE 25 14 0 29 May 2022
Statistical Inference of Constrained Stochastic Optimization via Sketched Sequential Quadratic Programming Sen Na Michael W. Mahoney 34 7 0 27 May 2022
Transformer for Partial Differential Equations' Operator Learning Zijie Li Kazem Meidani A. Farimani 42 140 0 26 May 2022
Accelerated Training of Physics-Informed Neural Networks (PINNs) using Meshless Discretizations Ramansh Sharma Varun Shankar 37 40 0 19 May 2022
Finite Element Method-enhanced Neural Network for Forward and Inverse Problems R. Meethal B. Obst Mohamed Khalil A. Ghantasala A. Kodakkal K. Bletzinger R. Wüchner AI4CE 23 29 0 17 May 2022
Loss Landscape Engineering via Data Regulation on PINNs Vignesh Gopakumar Stanislas Pamela D. Samaddar PINN 38 16 0 16 May 2022
AutoKE: An automatic knowledge embedding framework for scientific machine learning Mengge Du Yuntian Chen Dongxiao Zhang AI4CE 33 11 0 11 May 2022
Physics-informed neural networks for PDE-constrained optimization and control Jostein Barry-Straume A. Sarshar Andrey A. Popov Adrian Sandu PINN AI4CE 29 14 0 06 May 2022
Lagrangian PINNs: A causality-conforming solution to failure modes of physics-informed neural networks R. Mojgani Maciej Balajewicz P. Hassanzadeh PINN 33 45 0 05 May 2022
Learning Green's functions associated with time-dependent partial differential equations N. Boullé Seick Kim Tianyi Shi Alex Townsend AI4CE 26 25 0 27 Apr 2022
Numerical Computation of Partial Differential Equations by Hidden-Layer Concatenated Extreme Learning Machine Naxian Ni S. Dong 29 20 0 24 Apr 2022
Competitive Physics Informed Networks Qi Zeng Yash Kothari Spencer H. Bryngelson F. Schafer PINN 19 20 0 23 Apr 2022
Improved Training of Physics-Informed Neural Networks with Model Ensembles Katsiaryna Haitsiukevich Alexander Ilin PINN 36 23 0 11 Apr 2022