v1v2 (latest)

Deep Neural Networks Motivated by Partial Differential Equations

12 April 2018

Papers citing "Deep Neural Networks Motivated by Partial Differential Equations"

28 / 228 papers shown

Title
An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications E. Samaniego C. Anitescu S. Goswami Vien Minh Nguyen-Thanh Hongwei Guo Khader M. Hamdia Timon Rabczuk X. Zhuang PINN AI4CE 244 1,409 0 27 Aug 2019
Neural Dynamics on Complex Networks Chengxi Zang Fei Wang AI4CE 113 71 0 18 Aug 2019
NeuPDE: Neural Network Based Ordinary and Partial Differential Equations for Modeling Time-Dependent Data Yifan Sun Linan Zhang Hayden Schaeffer AI4TS 72 92 0 08 Aug 2019
Bilevel Optimization, Deep Learning and Fractional Laplacian Regularization with Applications in Tomography Harbir Antil Z. Di R. Khatri 58 50 0 22 Jul 2019
A Review on Deep Learning in Medical Image Reconstruction Hai-Miao Zhang Bin Dong MedIm 128 128 0 23 Jun 2019
SNODE: Spectral Discretization of Neural ODEs for System Identification A. Quaglino Marco Gallieri Jonathan Masci Jan Koutník AI4TS 106 48 0 17 Jun 2019
ANODEV2: A Coupled Neural ODE Evolution Framework Tianjun Zhang Z. Yao A. Gholami Kurt Keutzer Joseph E. Gonzalez George Biros Michael W. Mahoney 67 41 0 10 Jun 2019
Learning Dynamics of Attention: Human Prior for Interpretable Machine Reasoning Wonjae Kim Yoonho Lee 33 6 0 28 May 2019
Fully Hyperbolic Convolutional Neural Networks Keegan Lensink Bas Peters E. Haber MedIm 83 19 0 24 May 2019
Robust learning with implicit residual networks Viktor Reshniak Clayton Webster OOD 81 22 0 24 May 2019
Neural ODEs with stochastic vector field mixtures Niall Twomey Michał Kozłowski Raúl Santos-Rodríguez 51 4 0 23 May 2019
Recurrent Neural Networks in the Eye of Differential Equations M. Niu L. Horesh I. Chuang AI4TS 62 31 0 29 Apr 2019
LeanResNet: A Low-cost Yet Effective Convolutional Residual Networks Jonathan Ephrath Lars Ruthotto E. Haber Eran Treister 30 4 0 15 Apr 2019
Augmented Neural ODEs Emilien Dupont Arnaud Doucet Yee Whye Teh BDL 187 635 0 02 Apr 2019
IMEXnet: A Forward Stable Deep Neural Network E. Haber Keegan Lensink Eran Treister Lars Ruthotto 100 41 0 06 Mar 2019
Towards Robust ResNet: A Small Step but A Giant Leap Jingfeng Zhang Bo Han L. Wynter K. H. Low Mohan Kankanhalli 117 41 0 28 Feb 2019
ANODE: Unconditionally Accurate Memory-Efficient Gradients for Neural ODEs A. Gholami Kurt Keutzer George Biros 124 172 0 27 Feb 2019
Fleet Prognosis with Physics-informed Recurrent Neural Networks R. Nascimento F. Viana 33 52 0 16 Jan 2019
Spherical CNNs on Unstructured Grids Chiyu “Max” Jingwei Huang K. Kashinath Lawrence Berkeley Nat’l Lab P. Marcus Matthias Niessner 106 184 0 07 Jan 2019
Networks for Nonlinear Diffusion Problems in Imaging Simon Arridge A. Hauptmann DiffM MedIm 70 18 0 29 Nov 2018
Forward Stability of ResNet and Its Variants Linan Zhang Hayden Schaeffer 116 48 0 24 Nov 2018
Convolutional neural networks in phase space and inverse problems G. Uhlmann Yiran Wang 22 3 0 09 Nov 2018
Invertible Residual Networks Jens Behrmann Will Grathwohl Ricky T. Q. Chen David Duvenaud J. Jacobsen UQCV TPM 161 624 0 02 Nov 2018
Smooth Inter-layer Propagation of Stabilized Neural Networks for Classification Jingfeng Zhang L. Wynter AI4TS 22 1 0 27 Sep 2018
Monge-Ampère Flow for Generative Modeling Linfeng Zhang E. Weinan Lei Wang DRL 92 63 0 26 Sep 2018
Fundamentals of Recurrent Neural Network (RNN) and Long Short-Term Memory (LSTM) Network A. Sherstinsky 124 3,788 0 09 Aug 2018
Neural Ordinary Differential Equations T. Chen Yulia Rubanova J. Bettencourt David Duvenaud AI4CE 496 5,179 0 19 Jun 2018
Residual Networks as Geodesic Flows of Diffeomorphisms F. Rousseau Ronan Fablet AI4CE 38 7 0 24 May 2018