Unsupervised Deep Learning Algorithm for PDE-based Forward and Inverse Problems

10 April 2019

Papers citing "Unsupervised Deep Learning Algorithm for PDE-based Forward and Inverse Problems"

32 / 32 papers shown

Title
Deep Neural Operator Enabled Digital Twin Modeling for Additive Manufacturing Ning Liu Xuxiao Li M. Rajanna E. Reutzel Brady A Sawyer Prahalada Rao Jim Lua Nam Phan Yue Yu AI4CE 85 10 0 13 May 2024
Operator SVD with Neural Networks via Nested Low-Rank Approximation J. Jon Ryu Xiangxiang Xu H. Erol Yuheng Bu Lizhong Zheng G. Wornell 79 0 0 06 Feb 2024
A Neural PDE Solver with Temporal Stencil Modeling Zhiqing Sun Yiming Yang Shinjae Yoo DiffM AI4CE 98 17 0 16 Feb 2023
Guiding continuous operator learning through Physics-based boundary constraints Nadim Saad Gaurav Gupta S. Alizadeh Danielle C. Maddix AI4CE 124 22 0 14 Dec 2022
Non-equispaced Fourier Neural Solvers for PDEs Haitao Lin Lirong Wu Yongjie Xu Yufei Huang Siyuan Li Guojiang Zhao Z. Stan 76 8 0 09 Dec 2022
NLP Inspired Training Mechanics For Modeling Transient Dynamics Lalit Ghule Rishikesh Ranade Jay Pathak AI4CE 52 2 0 04 Nov 2022
A Unified Hard-Constraint Framework for Solving Geometrically Complex PDEs Songming Liu Zhongkai Hao Chengyang Ying Hang Su Jun Zhu Ze Cheng AI4CE 100 17 0 06 Oct 2022
Unsupervised Learning of the Total Variation Flow T. G. Grossmann Sören Dittmer Yury Korolev Carola-Bibiane Schönlieb 64 3 0 09 Jun 2022
Faster Optimization on Sparse Graphs via Neural Reparametrization Nima Dehmamy C. Both J. Long Rose Yu 49 1 0 26 May 2022
STONet: A Neural-Operator-Driven Spatio-temporal Network Haitao Lin Guojiang Zhao Lirong Wu Stan Z. Li AI4TS AI4CE 70 1 0 18 Apr 2022
A Physics-Guided Neural Operator Learning Approach to Model Biological Tissues from Digital Image Correlation Measurements Huaiqian You Quinn Zhang Colton J. Ross Chung-Hao Lee M. Hsu Yue Yu AI4CE 103 21 0 01 Apr 2022
Learning Deep Implicit Fourier Neural Operators (IFNOs) with Applications to Heterogeneous Material Modeling Huaiqian You Quinn Zhang Colton J. Ross Chung-Hao Lee Yue Yu AI4CE 102 107 0 15 Mar 2022
Physics Informed RNN-DCT Networks for Time-Dependent Partial Differential Equations Benwei Wu O. Hennigh Jan Kautz S. Choudhry Wonmin Byeon MLAU AI4CE 57 13 0 24 Feb 2022
Nonlocal Kernel Network (NKN): a Stable and Resolution-Independent Deep Neural Network Huaiqian You Yue Yu M. DÉlia T. Gao Stewart Silling 100 74 0 06 Jan 2022
Survey of Deep Learning Methods for Inverse Problems S. Kamyab Zihreh Azimifar Rasool Sabzi Paul Fieguth 50 3 0 07 Nov 2021
Learning Partial Differential Equations in Reproducing Kernel Hilbert Spaces George Stepaniants 86 19 0 26 Aug 2021
Neural Operator: Learning Maps Between Function Spaces Nikola B. Kovachki Zong-Yi Li Burigede Liu Kamyar Azizzadenesheli K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 170 453 0 19 Aug 2021
A physics-informed variational DeepONet for predicting the crack path in brittle materials S. Goswami Minglang Yin Yue Yu G. Karniadakis AI4CE 72 199 0 16 Aug 2021
On the application of Physically-Guided Neural Networks with Internal Variables to Continuum Problems J. Ayensa-Jiménez M. H. Doweidar J. A. Sanz-Herrera Manuel Doblaré 26 1 0 23 Nov 2020
A Helmholtz equation solver using unsupervised learning: Application to transcranial ultrasound A. Stanziola Simon Arridge B. Cox B. Treeby 58 35 0 29 Oct 2020
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 546 2,465 0 18 Oct 2020
Deeply Learned Spectral Total Variation Decomposition T. G. Grossmann Yury Korolev Guy Gilboa Carola-Bibiane Schönlieb 53 4 0 17 Jun 2020
Implicit Neural Representations with Periodic Activation Functions Vincent Sitzmann Julien N. P. Martel Alexander W. Bergman David B. Lindell Gordon Wetzstein AI4TS 209 2,583 0 17 Jun 2020
Multipole Graph Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 230 395 0 16 Jun 2020
MeshfreeFlowNet: A Physics-Constrained Deep Continuous Space-Time Super-Resolution Framework C. Jiang S. Esmaeilzadeh Kamyar Azizzadenesheli K. Kashinath Mustafa A. Mustafa H. Tchelepi P. Marcus P. Prabhat Anima Anandkumar AI4CE 255 141 0 01 May 2020
EikoNet: Solving the Eikonal equation with Deep Neural Networks Jonathan D. Smith Kamyar Azizzadenesheli Zachary E. Ross 47 132 0 25 Mar 2020
Neural Operator: Graph Kernel Network for Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar 213 749 0 07 Mar 2020
Solving Inverse Wave Scattering with Deep Learning Yuwei Fan Lexing Ying 71 28 0 27 Nov 2019
Solving Traveltime Tomography with Deep Learning Yuwei Fan Lexing Ying 89 15 0 25 Nov 2019
Solving Optical Tomography with Deep Learning Yuwei Fan Lexing Ying 59 17 0 10 Oct 2019
Solving Electrical Impedance Tomography with Deep Learning Yuwei Fan Lexing Ying 99 104 0 06 Jun 2019
Variational training of neural network approximations of solution maps for physical models Yingzhou Li Jianfeng Lu Anqi Mao GAN 81 36 0 07 May 2019