NeuPDE: Neural Network Based Ordinary and Partial Differential Equations for Modeling Time-Dependent Data

8 August 2019

Papers citing "NeuPDE: Neural Network Based Ordinary and Partial Differential Equations for Modeling Time-Dependent Data"

22 / 22 papers shown

Title
Beyond Predictions in Neural ODEs: Identification and Interventions H. Aliee Fabian J. Theis Niki Kilbertus CML 101 25 0 23 Jun 2021
ANODE: Unconditionally Accurate Memory-Efficient Gradients for Neural ODEs A. Gholami Kurt Keutzer George Biros 100 172 0 27 Feb 2019
PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Network Zichao Long Yiping Lu Bin Dong AI4CE 76 553 0 30 Nov 2018
Forward Stability of ResNet and Its Variants Linan Zhang Hayden Schaeffer 107 48 0 24 Nov 2018
Data Driven Governing Equations Approximation Using Deep Neural Networks Tong Qin Kailiang Wu D. Xiu PINN 74 273 0 13 Nov 2018
Neural Ordinary Differential Equations T. Chen Yulia Rubanova J. Bettencourt David Duvenaud AI4CE 434 5,157 0 19 Jun 2018
Deep Neural Networks Motivated by Partial Differential Equations Lars Ruthotto E. Haber AI4CE 124 491 0 12 Apr 2018
Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations M. Raissi P. Perdikaris George Karniadakis PINN AI4CE 91 614 0 28 Nov 2017
Deep Learning for Physical Processes: Incorporating Prior Scientific Knowledge Emmanuel de Bézenac Arthur Pajot Patrick Gallinari PINN AI4CE 107 318 0 21 Nov 2017
Beyond Finite Layer Neural Networks: Bridging Deep Architectures and Numerical Differential Equations Yiping Lu Aoxiao Zhong Quanzheng Li Bin Dong 210 505 0 27 Oct 2017
PDE-Net: Learning PDEs from Data Zichao Long Yiping Lu Xianzhong Ma Bin Dong DiffM AI4CE 53 759 0 26 Oct 2017
Random Erasing Data Augmentation Zhun Zhong Liang Zheng Guoliang Kang Shaozi Li Yi Yang 98 3,645 0 16 Aug 2017
Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations M. Raissi George Karniadakis AI4CE PINN 78 1,137 0 02 Aug 2017
Stable Architectures for Deep Neural Networks E. Haber Lars Ruthotto 152 733 0 09 May 2017
Machine Learning of Linear Differential Equations using Gaussian Processes M. Raissi George Karniadakis 83 553 0 10 Jan 2017
Densely Connected Convolutional Networks Gao Huang Zhuang Liu Laurens van der Maaten Kilian Q. Weinberger PINN 3DV 790 36,881 0 25 Aug 2016
FractalNet: Ultra-Deep Neural Networks without Residuals Gustav Larsson Michael Maire Gregory Shakhnarovich 165 941 0 24 May 2016
Identity Mappings in Deep Residual Networks Kaiming He Xinming Zhang Shaoqing Ren Jian Sun 354 10,196 0 16 Mar 2016
Weight Normalization: A Simple Reparameterization to Accelerate Training of Deep Neural Networks Tim Salimans Diederik P. Kingma ODL 194 1,943 0 25 Feb 2016
Deep Residual Learning for Image Recognition Kaiming He Xinming Zhang Shaoqing Ren Jian Sun MedIm 2.2K 194,426 0 10 Dec 2015
Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shift Sergey Ioffe Christian Szegedy OOD 465 43,341 0 11 Feb 2015
Adam: A Method for Stochastic Optimization Diederik P. Kingma Jimmy Ba ODL 2.0K 150,312 0 22 Dec 2014