PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Network

30 November 2018

Papers citing "PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Network"

34 / 84 papers shown

Title
Physics-Guided Deep Learning for Dynamical Systems: A Survey Rui Wang Rose Yu AI4CE PINN 39 64 0 02 Jul 2021
Cell-average based neural network method for hyperbolic and parabolic partial differential equations Changxin Qiu Jue Yan 14 10 0 02 Jul 2021
Neural network architectures using min-plus algebra for solving certain high dimensional optimal control problems and Hamilton-Jacobi PDEs Jérome Darbon P. Dower Tingwei Meng 6 22 0 07 May 2021
Dominant motion identification of multi-particle system using deep learning from video Yayati Jadhav Amir Barati Farimani 21 4 0 26 Apr 2021
Applications of physics-informed scientific machine learning in subsurface science: A survey A. Sun H. Yoon C. Shih Zhi Zhong AI4CE 23 9 0 10 Apr 2021
Learning to Optimize: A Primer and A Benchmark Tianlong Chen Xiaohan Chen Wuyang Chen Howard Heaton Jialin Liu Zhangyang Wang W. Yin 38 225 0 23 Mar 2021
The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation Q. Du Yiqi Gu Haizhao Yang Chao Zhou 24 20 0 21 Mar 2021
Physics-Integrated Variational Autoencoders for Robust and Interpretable Generative Modeling Naoya Takeishi Alexandros Kalousis DRL AI4CE 24 54 0 25 Feb 2021
An overview on deep learning-based approximation methods for partial differential equations C. Beck Martin Hutzenthaler Arnulf Jentzen Benno Kuckuck 30 146 0 22 Dec 2020
A Data Driven Method for Computing Quasipotentials Bo Lin Qianxiao Li W. Ren 11 13 0 13 Dec 2020
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 22 1 0 23 Nov 2020
Symbolically Solving Partial Differential Equations using Deep Learning Maysum Panju Kourosh Parand A. Ghodsi 6 3 0 12 Nov 2020
Deep learning prediction of patient response time course from early data via neural-pharmacokinetic/pharmacodynamic modeling James Lu B. Bender Jin Y. Jin Y. Guan 20 46 0 22 Oct 2020
Data-driven Identification of 2D Partial Differential Equations using extracted physical features Kazem Meidani A. Farimani 21 17 0 20 Oct 2020
Learning Thermodynamically Stable and Galilean Invariant Partial Differential Equations for Non-equilibrium Flows Juntao Huang Zhiting Ma Y. Zhou W. Yong AI4CE 27 16 0 28 Sep 2020
Learning continuous-time PDEs from sparse data with graph neural networks V. Iakovlev Markus Heinonen Harri Lähdesmäki AI4CE 16 68 0 16 Jun 2020
Physics-aware Spatiotemporal Modules with Auxiliary Tasks for Meta-Learning Sungyong Seo Chuizheng Meng Sirisha Rambhatla Yan Liu AI4CE 11 11 0 15 Jun 2020
A Tailored Convolutional Neural Network for Nonlinear Manifold Learning of Computational Physics Data using Unstructured Spatial Discretizations John Tencer Kevin Potter AI4CE 15 13 0 11 Jun 2020
Deep-learning of Parametric Partial Differential Equations from Sparse and Noisy Data Hao Xu Dongxiao Zhang Junsheng Zeng 17 57 0 16 May 2020
Revealing hidden dynamics from time-series data by ODENet Pipi Hu Wuyue Yang Yi Zhu L. Hong AI4TS 22 35 0 11 May 2020
Learning reduced systems via deep neural networks with memory Xiaohang Fu L. Chang D. Xiu 11 32 0 20 Mar 2020
TIME: A Transparent, Interpretable, Model-Adaptive and Explainable Neural Network for Dynamic Physical Processes Gurpreet Singh Soumyajit Gupta Matt Lease Clint Dawson AI4TS AI4CE 14 2 0 05 Mar 2020
Methods to Recover Unknown Processes in Partial Differential Equations Using Data Zhen Chen Kailiang Wu D. Xiu 14 3 0 05 Mar 2020
Disentangling Physical Dynamics from Unknown Factors for Unsupervised Video Prediction Vincent Le Guen Nicolas Thome AI4CE PINN 89 288 0 03 Mar 2020
Differentiable Molecular Simulations for Control and Learning Wujie Wang Simon Axelrod Rafael Gómez-Bombarelli AI4CE 100 49 0 27 Feb 2020
PDE-NetGen 1.0: from symbolic PDE representations of physical processes to trainable neural network representations O. Pannekoucke Ronan Fablet AI4CE PINN DiffM 11 8 0 03 Feb 2020
On generalized residue network for deep learning of unknown dynamical systems Zhen Chen D. Xiu AI4CE 14 46 0 23 Jan 2020
DLGA-PDE: Discovery of PDEs with incomplete candidate library via combination of deep learning and genetic algorithm Hao Xu Haibin Chang Dongxiao Zhang AI4CE 20 86 0 21 Jan 2020
Discovery of Dynamics Using Linear Multistep Methods Rachael Keller Q. Du 17 36 0 29 Dec 2019
Algorithm Unrolling: Interpretable, Efficient Deep Learning for Signal and Image Processing V. Monga Yuelong Li Yonina C. Eldar 28 996 0 22 Dec 2019
Machine learning and serving of discrete field theories -- when artificial intelligence meets the discrete universe H. Qin 21 30 0 22 Oct 2019
Stability selection enables robust learning of partial differential equations from limited noisy data S. Maddu B. Cheeseman I. Sbalzarini Christian L. Müller 13 19 0 17 Jul 2019
Extracting Interpretable Physical Parameters from Spatiotemporal Systems using Unsupervised Learning Peter Y. Lu Samuel Kim Marin Soljacic AI4CE 14 59 0 13 Jul 2019
A Review on Deep Learning in Medical Image Reconstruction Hai-Miao Zhang Bin Dong MedIm 32 122 0 23 Jun 2019