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Beyond Finite Layer Neural Networks: Bridging Deep Architectures and
  Numerical Differential Equations

Beyond Finite Layer Neural Networks: Bridging Deep Architectures and Numerical Differential Equations

27 October 2017
Yiping Lu
Aoxiao Zhong
Quanzheng Li
Bin Dong
ArXivPDFHTML

Papers citing "Beyond Finite Layer Neural Networks: Bridging Deep Architectures and Numerical Differential Equations"

24 / 124 papers shown
Title
On Robustness of Neural Ordinary Differential Equations
On Robustness of Neural Ordinary Differential Equations
Hanshu Yan
Jiawei Du
Vincent Y. F. Tan
Jiashi Feng
OOD
24
138
0
12 Oct 2019
Neural Dynamics on Complex Networks
Neural Dynamics on Complex Networks
Chengxi Zang
Fei Wang
AI4CE
35
68
0
18 Aug 2019
A Review on Deep Learning in Medical Image Reconstruction
A Review on Deep Learning in Medical Image Reconstruction
Hai-Miao Zhang
Bin Dong
MedIm
35
122
0
23 Jun 2019
ANODEV2: A Coupled Neural ODE Evolution Framework
ANODEV2: A Coupled Neural ODE Evolution Framework
Tianjun Zhang
Z. Yao
A. Gholami
Kurt Keutzer
Joseph E. Gonzalez
George Biros
Michael W. Mahoney
22
41
0
10 Jun 2019
Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep
  Reinforcement Learning
Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning
Yufei Wang
Ziju Shen
Zichao Long
Bin Dong
AI4CE
PINN
19
40
0
27 May 2019
Neural ODEs with stochastic vector field mixtures
Neural ODEs with stochastic vector field mixtures
Niall Twomey
Michał Kozłowski
Raúl Santos-Rodríguez
19
4
0
23 May 2019
Recurrent Neural Networks in the Eye of Differential Equations
Recurrent Neural Networks in the Eye of Differential Equations
M. Niu
L. Horesh
I. Chuang
AI4TS
23
31
0
29 Apr 2019
IMEXnet: A Forward Stable Deep Neural Network
IMEXnet: A Forward Stable Deep Neural Network
E. Haber
Keegan Lensink
Eran Treister
Lars Ruthotto
36
40
0
06 Mar 2019
Towards Robust ResNet: A Small Step but A Giant Leap
Towards Robust ResNet: A Small Step but A Giant Leap
Jingfeng Zhang
Bo Han
L. Wynter
K. H. Low
Mohan Kankanhalli
24
41
0
28 Feb 2019
ANODE: Unconditionally Accurate Memory-Efficient Gradients for Neural
  ODEs
ANODE: Unconditionally Accurate Memory-Efficient Gradients for Neural ODEs
A. Gholami
Kurt Keutzer
George Biros
30
166
0
27 Feb 2019
JSR-Net: A Deep Network for Joint Spatial-Radon Domain CT Reconstruction
  from incomplete data
JSR-Net: A Deep Network for Joint Spatial-Radon Domain CT Reconstruction from incomplete data
Haimiao Zhang
Bin Dong
Baodong Liu
MedIm
21
21
0
03 Dec 2018
PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep
  Network
PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Network
Zichao Long
Yiping Lu
Bin Dong
AI4CE
31
543
0
30 Nov 2018
Invertible Residual Networks
Invertible Residual Networks
Jens Behrmann
Will Grathwohl
Ricky T. Q. Chen
David Duvenaud
J. Jacobsen
UQCV
TPM
37
618
0
02 Nov 2018
Monge-Ampère Flow for Generative Modeling
Monge-Ampère Flow for Generative Modeling
Linfeng Zhang
E. Weinan
Lei Wang
DRL
30
62
0
26 Sep 2018
Fundamentals of Recurrent Neural Network (RNN) and Long Short-Term
  Memory (LSTM) Network
Fundamentals of Recurrent Neural Network (RNN) and Long Short-Term Memory (LSTM) Network
A. Sherstinsky
39
3,608
0
09 Aug 2018
A Mean-Field Optimal Control Formulation of Deep Learning
A Mean-Field Optimal Control Formulation of Deep Learning
Weinan E
Jiequn Han
Qianxiao Li
OOD
14
183
0
03 Jul 2018
Neural Ordinary Differential Equations
Neural Ordinary Differential Equations
T. Chen
Yulia Rubanova
J. Bettencourt
David Duvenaud
AI4CE
110
4,960
0
19 Jun 2018
NAIS-Net: Stable Deep Networks from Non-Autonomous Differential
  Equations
NAIS-Net: Stable Deep Networks from Non-Autonomous Differential Equations
Marco Ciccone
Marco Gallieri
Jonathan Masci
Christian Osendorfer
Faustino J. Gomez
32
56
0
19 Apr 2018
Functional Gradient Boosting based on Residual Network Perception
Functional Gradient Boosting based on Residual Network Perception
Atsushi Nitanda
Taiji Suzuki
25
25
0
25 Feb 2018
Convolutional Neural Networks combined with Runge-Kutta Methods
Convolutional Neural Networks combined with Runge-Kutta Methods
Mai Zhu
Bo Chang
Chong Fu
AI4CE
43
52
0
24 Feb 2018
Multistep Neural Networks for Data-driven Discovery of Nonlinear
  Dynamical Systems
Multistep Neural Networks for Data-driven Discovery of Nonlinear Dynamical Systems
M. Raissi
P. Perdikaris
George Karniadakis
PINN
29
266
0
04 Jan 2018
Reversible Architectures for Arbitrarily Deep Residual Neural Networks
Reversible Architectures for Arbitrarily Deep Residual Neural Networks
B. Chang
Lili Meng
E. Haber
Lars Ruthotto
David Begert
E. Holtham
AI4CE
36
261
0
12 Sep 2017
Bridging the Gaps Between Residual Learning, Recurrent Neural Networks
  and Visual Cortex
Bridging the Gaps Between Residual Learning, Recurrent Neural Networks and Visual Cortex
Q. Liao
T. Poggio
213
255
0
13 Apr 2016
A Differential Equation for Modeling Nesterov's Accelerated Gradient
  Method: Theory and Insights
A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights
Weijie Su
Stephen P. Boyd
Emmanuel J. Candes
108
1,157
0
04 Mar 2015
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