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"

50 / 380 papers shown

Title
Two-level deep domain decomposition method V. Dolean Serge Gratton Alexander Heinlein Valentin Mercier AI4CE 66 0 0 22 Aug 2024
UKAN: Unbound Kolmogorov-Arnold Network Accompanied with Accelerated Library Alireza Moradzadeh Lukasz Wawrzyniak Miles Macklin Saee Paliwal 145 2 0 20 Aug 2024
Physics-Informed Machine Learning for Grade Prediction in Froth Flotation Mahdi Nasiri Sahel Iqbal Simo Särkkä AI4CE 53 3 0 12 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 86 9 0 30 Jul 2024
Multi-physics Simulation Guided Generative Diffusion Models with Applications in Fluid and Heat Dynamics Naichen Shi Hao Yan Shenghan Guo Raed Al Kontar DiffM AI4CE 62 0 0 25 Jul 2024
Adaptive Training of Grid-Dependent Physics-Informed Kolmogorov-Arnold Networks Spyros Rigas M. Papachristou Theofilos Papadopoulos Fotios Anagnostopoulos Georgios Alexandridis AI4CE 104 24 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 60 0 0 23 Jul 2024
Dynamical Measure Transport and Neural PDE Solvers for Sampling Jingtong Sun Julius Berner Lorenz Richter Marius Zeinhofer Johannes Müller Kamyar Azizzadenesheli Anima Anandkumar OT DiffM 89 11 0 10 Jul 2024
DiffusionPDE: Generative PDE-Solving Under Partial Observation Jiahe Huang Guandao Yang Zichen Wang Jeong Joon Park DiffM 90 30 0 25 Jun 2024
Extremization to Fine Tune Physics Informed Neural Networks for Solving Boundary Value Problems A. Thiruthummal Sergiy Shelyag Eun-Jin Kim 53 2 0 07 Jun 2024
Vectorized Conditional Neural Fields: A Framework for Solving Time-dependent Parametric Partial Differential Equations Jan Hagnberger Marimuthu Kalimuthu Daniel Musekamp Mathias Niepert AI4TS AI4CE 98 5 0 06 Jun 2024
Reservoir History Matching of the Norne field with generative exotic priors and a coupled Mixture of Experts -- Physics Informed Neural Operator Forward Model C. Etienam Juntao Yang O. Ovcharenko Issam Said 63 1 0 02 Jun 2024
Physics-Aware Neural Implicit Solvers for multiscale, parametric PDEs with applications in heterogeneous media Matthaios Chatzopoulos P. Koutsourelakis AI4CE 81 3 0 29 May 2024
Generative modeling of Sparse Approximate Inverse Preconditioners Mou Li He Wang P. Jimack 68 2 0 17 May 2024
Towards General Neural Surrogate Solvers with Specialized Neural Accelerators Chenkai Mao Robert Lupoiu Tianxiang Dai Mingkun Chen Jonathan A. Fan AI4CE 73 6 0 02 May 2024
Physics-Informed Neural Networks: Minimizing Residual Loss with Wide Networks and Effective Activations Nima Hosseini Dashtbayaz G. Farhani Boyu Wang Charles Ling 87 2 0 02 May 2024
MultiSTOP: Solving Functional Equations with Reinforcement Learning Alessandro Trenta Davide Bacciu Andrea Cossu Pietro Ferrero 115 0 0 23 Apr 2024
A comparison of Single- and Double-generator formalisms for Thermodynamics-Informed Neural Networks Pau Urdeitx Ic´ıar Alfaro David González Francisco Chinesta Elías Cueto AI4CE 66 2 0 01 Apr 2024
GrINd: Grid Interpolation Network for Scattered Observations Andrzej Dulny Paul Heinisch Andreas Hotho Anna Krause 56 1 0 28 Mar 2024
Artifact Reduction in 3D and 4D Cone-beam Computed Tomography Images with Deep Learning -- A Review Mohammadreza Amirian Daniel Barco Ivo Herzig Frank-Peter Schilling MedIm 63 6 0 27 Mar 2024
Mixing Artificial and Natural Intelligence: From Statistical Mechanics to AI and Back to Turbulence Michael Chertkov AI4CE 73 3 0 26 Mar 2024
Knowledge-guided Machine Learning: Current Trends and Future Prospects Anuj Karpatne X. Jia Vipin Kumar 103 12 0 24 Mar 2024
Kolmogorov n-Widths for Multitask Physics-Informed Machine Learning (PIML) Methods: Towards Robust Metrics Michael Penwarden H. Owhadi Robert M. Kirby AI4CE 64 1 0 16 Feb 2024
Multi-Fidelity Methods for Optimization: A Survey Ke Li Fan Li AI4CE 67 7 0 15 Feb 2024
AirPhyNet: Harnessing Physics-Guided Neural Networks for Air Quality Prediction Kethmi Hirushini Hettige Jiahao Ji Shili Xiang Cheng Long Gao Cong Jingyuan Wang AI4CE 56 15 0 06 Feb 2024
DeepLag: Discovering Deep Lagrangian Dynamics for Intuitive Fluid Prediction Qilong Ma Haixu Wu Lanxiang Xing Jianmin Wang Mingsheng Long AI4CE 73 0 0 04 Feb 2024
Ricci flow-guided autoencoders in learning time-dependent dynamics Andrew Gracyk AI4CE 193 2 0 26 Jan 2024
A Hybrid Approach of Transfer Learning and Physics-Informed Modeling: Improving Dissolved Oxygen Concentration Prediction in an Industrial Wastewater Treatment Plant Ece S. Koksal Erdal Aydin PINN AI4CE 50 1 0 20 Jan 2024
Accelerating Data Generation for Neural Operators via Krylov Subspace Recycling Hong Wang Zhongkai Hao Jie Wang Zijie Geng Zhen Wang Bin Li Fengli Wu 43 3 0 17 Jan 2024
Space and Time Continuous Physics Simulation From Partial Observations Steeven Janny Madiha Nadri Wolf Julie Digne Christian Wolf AI4CE 113 6 0 17 Jan 2024
Physics-Informed Neural Networks for High-Frequency and Multi-Scale Problems using Transfer Learning Abdul Hannan Mustajab Hao Lyu Z. Rizvi Frank Wuttke AI4CE PINN 101 11 0 05 Jan 2024
Efficient Discrete Physics-informed Neural Networks for Addressing Evolutionary Partial Differential Equations Siqi Chen Bin Shan Ye Li AI4CE PINN 59 1 0 22 Dec 2023
SISMIK for brain MRI: Deep-learning-based motion estimation and model-based motion correction in k-space Oscar Dabrowski J. Falcone A. Klauser J. Songeon Michel Kocher B. Chopard François Lazeyras S. Courvoisier MedIm 54 1 0 20 Dec 2023
Symmetry-regularized neural ordinary differential equations Wenbo Hao PINN AI4CE 15 1 0 28 Nov 2023
Functional Diffusion Biao Zhang Peter Wonka DiffM 188 9 0 26 Nov 2023
Grad-Shafranov equilibria via data-free physics informed neural networks Byoungchan Jang A. Kaptanoglu Rahul Gaur Shaw Pan Matt Landreman W. Dorland PINN 81 3 0 22 Nov 2023
Nonlinear System Identification of Swarm of UAVs Using Deep Learning Methods Saman Yazdannik Morteza Tayefi Mojtaba Farrokh 40 0 0 21 Nov 2023
Surrogate Neural Networks to Estimate Parametric Sensitivity of Ocean Models Yixuan Sun Elizabeth Cucuzzella Steven Brus S. Narayanan B. Nadiga Luke Van Roekel Jan Huckelheim Sandeep Madireddy 55 3 0 10 Nov 2023
An Operator Learning Framework for Spatiotemporal Super-resolution of Scientific Simulations Valentin Duruisseaux Amit Chakraborty AI4CE 74 1 0 04 Nov 2023
Solutions to Elliptic and Parabolic Problems via Finite Difference Based Unsupervised Small Linear Convolutional Neural Networks A. Celaya Keegan L. A. Kirk David T. Fuentes Beatrice Riviere 51 1 0 01 Nov 2023
Deep Learning based Spatially Dependent Acoustical Properties Recovery Ruixian Liu Peter Gerstoft 64 0 0 17 Oct 2023
Time integration schemes based on neural networks for solving partial differential equations on coarse grids Xinxin Yan Zhideng Zhou Xiaohan Cheng Xiaolei Yang AI4TS AI4CE 56 0 0 16 Oct 2023
A Deep Neural Network -- Mechanistic Hybrid Model to Predict Pharmacokinetics in Rat Florian Führer Andrea Gruber Holger Diedam A. Göller Stephan Menz S. Schneckener 118 3 0 13 Oct 2023
Waveformer for modelling dynamical systems N. Navaneeth Souvik Chakraborty 27 2 0 08 Oct 2023
Physics-Preserving AI-Accelerated Simulations of Plasma Turbulence Thorsten Glüsenkamp Frank Jenko Nils Thuerey AI4CE 61 6 0 28 Sep 2023
Neuro-Visualizer: An Auto-encoder-based Loss Landscape Visualization Method Mohannad Elhamod Anuj Karpatne 67 2 0 26 Sep 2023
Physics-informed State-space Neural Networks for Transport Phenomena Akshay J. Dave Richard B. Vilim PINN 19 2 0 21 Sep 2023
An Active Noise Control System Based on Soundfield Interpolation Using a Physics-informed Neural Network Yile Zhang Fei Ma T. Abhayapala P. Samarasinghe Amy Bastine 47 2 0 19 Sep 2023
Physics-Informed Neural Networks for an optimal counterdiabatic quantum computation Antonio Ferrer-Sánchez Carlos Flores-Garrigós C. Hernani-Morales José J. Orquín-Marqués N. N. Hegade Alejandro Gomez Cadavid Iraitz Montalban Enrique Solano Yolanda Vives-Gilabert J. D. Martín-Guerrero 80 2 0 08 Sep 2023
Approximating High-Dimensional Minimal Surfaces with Physics-Informed Neural Networks Steven Zhou Xiaojing Ye PINN 52 0 0 05 Sep 2023