Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations

28 November 2017

Papers citing "Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations"

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Title
Investigating Lagrangian Neural Networks for Infinite Horizon Planning in Quadrupedal Locomotion Prakrut Kotecha Aditya Shirwatkar Shishir Kolathaya 7 0 0 19 Jun 2025
NOBLE -- Neural Operator with Biologically-informed Latent Embeddings to Capture Experimental Variability in Biological Neuron Models Luca Ghafourpour Valentin Duruisseaux Bahareh Tolooshams Philip H. Wong Costas A. Anastassiou A. Anandkumar 95 0 0 05 Jun 2025
DeepRTE: Pre-trained Attention-based Neural Network for Radiative Tranfer Yekun Zhu Min Tang Zheng Ma 9 0 0 29 May 2025
PhysicsNeRF: Physics-Guided 3D Reconstruction from Sparse Views Mohamed Rayan Barhdadi Hasan Kurban Hussein Alnuweiri 48 0 0 29 May 2025
(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Nathan Lichtlé Alexi Canesse Zhe Fu Hossein Nick Zinat Matin M. D. Monache Alexandre M. Bayen 38 0 0 29 May 2025
Locking-Free Training of Physics-Informed Neural Network for Solving Nearly Incompressible Elasticity Equations Josef Dick Seungchan Ko Kassem Mustapha Sanghyeon Park 7 0 0 28 May 2025
FALCON: An ML Framework for Fully Automated Layout-Constrained Analog Circuit Design Asal Mehradfar Xuzhe Zhao Yilun Huang Emir Ceyani Yankai Yang Shihao Han Hamidreza Aghasi Salman Avestimehr 21 0 0 28 May 2025
Are Statistical Methods Obsolete in the Era of Deep Learning? Skyler Wu Shihao Yang S. C. Kou 7 0 0 27 May 2025
Multiphysics Bench: Benchmarking and Investigating Scientific Machine Learning for Multiphysics PDEs Changfan Yang Lichen Bai Yinpeng Wang Shufei Zhang Zeke Xie OOD AI4CE 54 0 0 23 May 2025
Reverse-BSDE Monte Carlo Jairon H. N. Batista Flávio B. Gonçalves Yuri F. Saporito Rodrigo S. Targino DiffM 41 0 0 11 May 2025
Integration Matters for Learning PDEs with Backwards SDEs Sungje Park Stephen Tu PINN 111 0 0 02 May 2025
Perception-Informed Neural Networks: Beyond Physics-Informed Neural Networks Mehran Mazandarani Marzieh Najariyan PINN AI4CE 52 0 0 02 May 2025
T2VPhysBench: A First-Principles Benchmark for Physical Consistency in Text-to-Video Generation Xuyang Guo Jiayan Huo Zhenmei Shi Zhao Song Jiahao Zhang Jiale Zhao EGVM VGen PINN 185 5 0 01 May 2025
Deep Learning Meets Process-Based Models: A Hybrid Approach to Agricultural Challenges Yue Shi Liangxiu Han Xin Zhang Tam Sobeih T. Gaiser Nguyen Huu Thuy Dominik Behrend A. Srivastava Krishnagopal Halder F. Ewert AI4CE 60 0 0 22 Apr 2025
SUPRA: Subspace Parameterized Attention for Neural Operator on General Domains Zherui Yang Zhengyang Xue Ligang Liu 66 0 0 22 Apr 2025
How Learnable Grids Recover Fine Detail in Low Dimensions: A Neural Tangent Kernel Analysis of Multigrid Parametric Encodings Samuel Audia Soheil Feizi Matthias Zwicker Dinesh Manocha 82 1 0 18 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 103 2 0 11 Apr 2025
Foundation Models for Environmental Science: A Survey of Emerging Frontiers Runlong Yu Shengyu Chen Yiqun Xie Huaxiu Yao J. Willard X. Jia AI4CE 129 1 0 05 Apr 2025
A discrete physics-informed training for projection-based reduced order models with neural networks N. Sibuet S. A. D. Parga J. R. Bravo R. Rossi 59 0 0 31 Mar 2025
On-site estimation of battery electrochemical parameters via transfer learning based physics-informed neural network approach Josu Yeregui Iker Lopetegi Sergio Fernandez Erik Garayalde Unai Iraola 177 0 0 28 Mar 2025
MixFunn: A Neural Network for Differential Equations with Improved Generalization and Interpretability T. S. Farias Gubio Gomes de Lima Jonas Maziero Celso Jorge Villas-Boas AI4CE 72 0 0 28 Mar 2025
Enhanced Vascular Flow Simulations in Aortic Aneurysm via Physics-Informed Neural Networks and Deep Operator Networks Oscar L. Cruz-González Valérie Deplano Badih Ghattas MedIm AI4CE 73 0 0 19 Mar 2025
ON-Traffic: An Operator Learning Framework for Online Traffic Flow Estimation and Uncertainty Quantification from Lagrangian Sensors Jake Rap Amritam Das 100 0 0 18 Mar 2025
A Multimodal Physics-Informed Neural Network Approach for Mean Radiant Temperature Modeling Pouya Shaeri Saud AlKhaled Ariane Middel AI4CE 92 1 0 11 Mar 2025
Meta Learning not to Learn: Robustly Informing Meta-Learning under Nuisance-Varying Families Louis McConnell OOD CML 101 0 0 06 Mar 2025
Fatigue-PINN: Physics-Informed Fatigue-Driven Motion Modulation and Synthesis Iliana Loi Konstantinos Moustakas 91 0 0 26 Feb 2025
Learning Discontinuous Galerkin Solutions to Elliptic Problems via Small Linear Convolutional Neural Networks A. Celaya Yimo Wang David T. Fuentes Beatrice Riviere 81 0 0 12 Feb 2025
Kolmogorov-Arnold Fourier Networks Jusheng Zhang Yijia Fan Kaitong Cai Keze Wang 90 0 0 09 Feb 2025
MatrixNet: Learning over symmetry groups using learned group representations Lucas Laird Circe Hsu Asilata Bapat Robin Walters AI4CE 74 0 0 17 Jan 2025
Variational autoencoders with latent high-dimensional steady geometric flows for dynamics Andrew Gracyk DRL 171 1 0 03 Jan 2025
About rectified sigmoid function for enhancing the accuracy of Physics-Informed Neural Networks V. A. Es'kin Alexey O. Malkhanov Mikhail E. Smorkalov MLT 110 0 0 31 Dec 2024
Solving Nonlinear Energy Supply and Demand System Using Physics-Informed Neural Networks Van Truong Vo Samad Noeiaghdam D. N. Sidorov A. Dreglea Liguo Wang PINN 106 0 0 22 Dec 2024
HyperNet Fields: Efficiently Training Hypernetworks without Ground Truth by Learning Weight Trajectories Eric Hedlin Munawar Hayat Fatih Porikli Kwang Moo Yi Shweta Mahajan 3DH 159 0 0 22 Dec 2024
Physics-Guided Fair Graph Sampling for Water Temperature Prediction in River Networks Erhu He Declan Kutscher Yiqun Xie Jacob Aaron Zwart Zhe Jiang Huaxiu Yao X. Jia AI4CE 122 0 0 21 Dec 2024
Formal Mathematical Reasoning: A New Frontier in AI Kaiyu Yang Gabriel Poesia Jingxuan He Wenda Li Kristin Lauter Swarat Chaudhuri Dawn Song LRM AI4CE 145 36 0 20 Dec 2024
Epidemiology-informed Graph Neural Network for Heterogeneity-aware Epidemic Forecasting Yufan Zheng Wei Jiang Alexander Zhou Nguyen Quoc Viet Hung Choujun Zhan Tong Chen AI4TS 100 1 0 26 Nov 2024
Coupled Integral PINN for conservation law Yeping Wang Shihao Yang PINN 72 0 0 18 Nov 2024
Super-Resolution without High-Resolution Labels for Black Hole Simulations Thomas Helfer Thomas D. P. Edwards Jessica Dafflon Kaze W. K. Wong Matthew Lyle Olson 34 0 0 03 Nov 2024
Projected Neural Differential Equations for Learning Constrained Dynamics Alistair J R White Anna Buttner Maximilian Gelbrecht Valentin Duruisseaux Niki Kilbertus Frank Hellmann Niklas Boers 75 2 0 31 Oct 2024
Differential Informed Auto-Encoder Jinrui Zhang SyDa 13 0 0 24 Oct 2024
On conditional diffusion models for PDE simulations Aliaksandra Shysheya Cristiana-Diana Diaconu Federico Bergamin P. Perdikaris José Miguel Hernández-Lobato Richard E. Turner Emile Mathieu DiffM 81 13 0 21 Oct 2024
Multimodal Policies with Physics-informed Representations Haodong Feng Tailin Wu Yue Wang Dixia Fan PINN AI4CE 69 0 0 20 Oct 2024
Phase Diagram from Nonlinear Interaction between Superconducting Order and Density: Toward Data-Based Holographic Superconductor Sejin Kim Kyung Kiu Kim Yunseok Seo 54 0 0 09 Oct 2024
Learning Semantic Structure through First-Order-Logic Translation Akshay Chaturvedi Nicholas Asher LRM 60 1 0 04 Oct 2024
Fourier PINNs: From Strong Boundary Conditions to Adaptive Fourier Bases Madison Cooley Varun Shankar Robert M. Kirby Shandian Zhe 110 2 0 04 Oct 2024
DiffGrad for Physics-Informed Neural Networks Jamshaid Ul Rahman Nimra PINN ODL 37 1 0 05 Sep 2024
AQ-PINNs: Attention-Enhanced Quantum Physics-Informed Neural Networks for Carbon-Efficient Climate Modeling Siddhant Dutta Nouhaila Innan Sadok Ben Yahia Muhammad Shafique PINN 57 0 0 03 Sep 2024
Point Neuron Learning: A New Physics-Informed Neural Network Architecture Hanwen Bi T. Abhayapala PINN 56 4 0 30 Aug 2024
Physics-Informed Neural Networks and Extensions Maziar Raissi P. Perdikaris Nazanin Ahmadi George Karniadakis PINN AI4CE 92 5 0 29 Aug 2024
GINN-KAN: Interpretability pipelining with applications in Physics Informed Neural Networks Nisal Ranasinghe Yu Xia Sachith Seneviratne Saman K. Halgamuge 76 4 0 27 Aug 2024