Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems

1 November 2021

Papers citing "Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems"

50 / 138 papers shown

Title
A general physics-constrained method for the modelling of equation's closure terms with sparse data Tian Chen Shengping Liu Li Liu Heng Yong PINN AI4CE 46 0 0 30 Apr 2025
Reliable and Efficient Inverse Analysis using Physics-Informed Neural Networks with Distance Functions and Adaptive Weight Tuning Shota Deguchi Mitsuteru Asai PINN AI4CE 81 0 0 25 Apr 2025
DAE-KAN: A Kolmogorov-Arnold Network Model for High-Index Differential-Algebraic Equations Kai Luo Juan Tang Mingchao Cai Xiaoqing Zeng Manqi Xie Ming Yan 31 0 0 22 Apr 2025
BO-SA-PINNs: Self-adaptive physics-informed neural networks based on Bayesian optimization for automatically designing PDE solvers Rui Zhang Liang Li Stéphane Lanteri Hao Kang Jiaqi Li 43 0 0 14 Apr 2025
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
Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometries Ali Kashefi T. Mukerji 3DPC PINN 52 0 0 08 Apr 2025
PINNverse: Accurate parameter estimation in differential equations from noisy data with constrained physics-informed neural networks Marius Almanstötter Roman Vetter Dagmar Iber PINN 32 2 0 07 Apr 2025
Provably accurate adaptive sampling for collocation points in physics-informed neural networks Antoine Caradot Rémi Emonet Amaury Habrard Abdel-Rahim Mezidi M. Sebban 41 0 0 01 Apr 2025
Enhancing Physics-Informed Neural Networks with a Hybrid Parallel Kolmogorov-Arnold and MLP Architecture Zuyu Xu Bin Lv 41 0 0 30 Mar 2025
Adaptive Physics-informed Neural Networks: A Survey Edgar Torres Jonathan Schiefer Mathias Niepert PINN AI4CE 65 0 0 23 Mar 2025
Parametric Value Approximation for General-sum Differential Games with State Constraints Lei Zhang Mukesh Ghimire Wenlong Zhang Z. Xu Yi Ren 36 0 0 10 Mar 2025
Learning and discovering multiple solutions using physics-informed neural networks with random initialization and deep ensemble Zongren Zou Zhicheng Wang George Karniadakis PINN AI4CE 73 2 0 08 Mar 2025
Connecting the geometry and dynamics of many-body complex systems with message passing neural operators N. Gabriel N. Johnson George Em Karniadakis AI4CE 54 0 0 21 Feb 2025
Gradient Alignment in Physics-informed Neural Networks: A Second-Order Optimization Perspective Sizhuang He Ananyae Kumar Bhartari Bowen Li P. Perdikaris PINN 56 4 0 02 Feb 2025
Sub-Sequential Physics-Informed Learning with State Space Model Chenhui Xu Dancheng Liu Yuting Hu Jiajie Li Ruiyang Qin Qingxiao Zheng Jinjun Xiong AI4CE PINN 158 0 0 01 Feb 2025
Physics-informed deep learning for infectious disease forecasting Y. Qian Éric Marty Avranil Basu Avranil Basu Eamon B. O'Dea Xianqiao Wang Spencer Fox Pejman Rohani John M. Drake He Li PINN AI4CE 80 2 0 16 Jan 2025
Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators Zekun Shi Zheyuan Hu Min-Bin Lin Kenji Kawaguchi 139 4 0 27 Nov 2024
SEA: State-Exchange Attention for High-Fidelity Physics Based Transformers Parsa Esmati Amirhossein Dadashzadeh Vahid Goodarzi Nicolas Larrosa Nicolo Grilli 27 0 0 20 Oct 2024
Federated scientific machine learning for approximating functions and solving differential equations with data heterogeneity Handi Zhang Langchen Liu Lu Lu FedML 32 1 0 17 Oct 2024
HyResPINNs: Hybrid Residual Networks for Adaptive Neural and RBF Integration in Solving PDEs Madison Cooley Robert M. Kirby Shandian Zhe Varun Shankar PINN AI4CE 28 0 0 04 Oct 2024
Fourier PINNs: From Strong Boundary Conditions to Adaptive Fourier Bases Madison Cooley Varun Shankar Robert M. Kirby Shandian Zhe 29 2 0 04 Oct 2024
Robust Weight Initialization for Tanh Neural Networks with Fixed Point Analysis Hyunwoo Lee Hayoung Choi Hyunju Kim 39 1 0 03 Oct 2024
PhyMPGN: Physics-encoded Message Passing Graph Network for spatiotemporal PDE systems Bocheng Zeng Qi Wang M. Yan Yong-Jin Liu Ruizhi Chengze Yi Zhang Hongsheng Liu Zidong Wang Hao Sun AI4CE 40 3 0 02 Oct 2024
Dual Cone Gradient Descent for Training Physics-Informed Neural Networks Youngsik Hwang Dong-Young Lim AI4CE 32 2 0 27 Sep 2024
Efficient and generalizable nested Fourier-DeepONet for three-dimensional geological carbon sequestration Jonathan E. Lee Min Zhu Ziqiao Xi Kun Wang Yanhua O. Yuan Lu Lu AI4CE 26 3 0 25 Sep 2024
DiffFluid: Plain Diffusion Models are Effective Predictors of Flow Dynamics Dongyu Luo Jianyu Wu Jing Wang Hairun Xie Xiangyu Yue Shixiang Tang DiffM AI4CE 38 0 0 20 Sep 2024
GradINN: Gradient Informed Neural Network Filippo Aglietti Francesco Della Santa Andrea Piano Virginia Aglietti PINN 19 0 0 03 Sep 2024
Stability Analysis of Physics-Informed Neural Networks for Stiff Linear Differential Equations Gianluca Fabiani Erik Bollt Constantinos Siettos A. Yannacopoulos 28 0 0 27 Aug 2024
General-Kindred Physics-Informed Neural Network to the Solutions of Singularly Perturbed Differential Equations Sen Wang Peizhi Zhao Qinglong Ma Tao Song PINN 25 3 0 27 Aug 2024
Functional Tensor Decompositions for Physics-Informed Neural Networks Sai Karthikeya Vemuri Tim Buchner Julia Niebling Joachim Denzler PINN 40 4 0 23 Aug 2024
PinnDE: Physics-Informed Neural Networks for Solving Differential Equations Jason Matthews Alex Bihlo PINN 42 1 0 19 Aug 2024
NeuroSEM: A hybrid framework for simulating multiphysics problems by coupling PINNs and spectral elements K. Shukla Zongren Zou Chi Hin Chan Additi Pandey Zhicheng Wang George Karniadakis PINN 55 7 0 30 Jul 2024
Adaptive Training of Grid-Dependent Physics-Informed Kolmogorov-Arnold Networks Spyros Rigas M. Papachristou Theofilos Papadopoulos Fotios Anagnostopoulos Georgios Alexandridis AI4CE 34 21 0 24 Jul 2024
Sobolev neural network with residual weighting as a surrogate in linear and non-linear mechanics A.O.M. Kilicsoy J. Liedmann M. Valdebenito F. Barthold M. G. R. Faes 40 0 0 23 Jul 2024
Stable Weight Updating: A Key to Reliable PDE Solutions Using Deep Learning A. Noorizadegan R. Cavoretto D. Young C. S. Chen 26 7 0 10 Jul 2024
WANCO: Weak Adversarial Networks for Constrained Optimization problems Gang Bao Dong Wang Boyi Zou 44 1 0 04 Jul 2024
Physics-informed neural networks for parameter learning of wildfire spreading K. Vogiatzoglou C. Papadimitriou V. Bontozoglou Konstantinos Ampountolas 33 1 0 20 Jun 2024
Jacobian-Enhanced Neural Networks Steven H. Berguin DRL 21 0 0 13 Jun 2024
Initialization-enhanced Physics-Informed Neural Network with Domain Decomposition (IDPINN) Chenhao Si Ming Yan AI4CE PINN 41 3 0 05 Jun 2024
RoPINN: Region Optimized Physics-Informed Neural Networks Haixu Wu Huakun Luo Yuezhou Ma Jianmin Wang Mingsheng Long AI4CE 34 7 0 23 May 2024
Accurate adaptive deep learning method for solving elliptic problems Jingyong Ying Yaqi Xie Jiao Li Hongqiao Wang 37 1 0 29 Apr 2024
Symmetry group based domain decomposition to enhance physics-informed neural networks for solving partial differential equations Ye Liu Jie-Ying Li Li-sheng Zhang Lei‐Lei Guo Zhi-Yong Zhang AI4CE 22 1 0 29 Apr 2024
BiLO: Bilevel Local Operator Learning for PDE inverse problems Ray Zirui Zhang Xiaohui Xie John S. Lowengrub 68 1 0 27 Apr 2024
PhyPlan: Generalizable and Rapid Physical Task Planning with Physics Informed Skill Networks for Robot Manipulators Mudit Chopra Abhinav Barnawal Harshil Vagadia Tamajit Banerjee Shreshth Tuli Souvik Chakraborty Rohan Paul LRM PINN 46 0 0 22 Apr 2024
Spatio-Temporal Fluid Dynamics Modeling via Physical-Awareness and Parameter Diffusion Guidance Hao Wu Fan Xu Yifan Duan Ziwei Niu Weiyan Wang Gaofeng Lu Kun Wang Yuxuan Liang Yang Wang DiffM AI4CE 42 8 0 18 Mar 2024
PhyPlan: Compositional and Adaptive Physical Task Reasoning with Physics-Informed Skill Networks for Robot Manipulators Harshil Vagadia Mudit Chopra Abhinav Barnawal Tamajit Banerjee Shreshth Tuli Souvik Chakraborty Rohan Paul PINN LRM 32 2 0 24 Feb 2024
Kolmogorov n-Widths for Multitask Physics-Informed Machine Learning (PIML) Methods: Towards Robust Metrics Michael Penwarden H. Owhadi Robert M. Kirby AI4CE 22 1 0 16 Feb 2024
Feature Mapping in Physics-Informed Neural Networks (PINNs) Chengxi Zeng T. Burghardt A. Gambaruto 41 1 0 10 Feb 2024
A Novel Paradigm in Solving Multiscale Problems Jing Wang Zheng Li Pengyu Lai Rui Wang Di Yang Dewu Yang Hui Xu Wenquan Tao AI4CE 21 0 0 07 Feb 2024
Challenges in Training PINNs: A Loss Landscape Perspective Pratik Rathore Weimu Lei Zachary Frangella Lu Lu Madeleine Udell AI4CE PINN ODL 44 39 0 02 Feb 2024