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1804.04272
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Deep Neural Networks Motivated by Partial Differential Equations
12 April 2018
Lars Ruthotto
E. Haber
AI4CE
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Papers citing
"Deep Neural Networks Motivated by Partial Differential Equations"
44 / 244 papers shown
PDE-based Group Equivariant Convolutional Neural Networks
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11 Jan 2020
Mean-Field and Kinetic Descriptions of Neural Differential Equations
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07 Jan 2020
ODE-based Deep Network for MRI Reconstruction
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O. Afacan
Simon K. Warfield
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109
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27 Dec 2019
Deep Learning via Dynamical Systems: An Approximation Perspective
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Ting Lin
Zuowei Shen
AI4TS
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257
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22 Dec 2019
Multilevel Initialization for Layer-Parallel Deep Neural Network Training
E. Cyr
Stefanie Günther
J. Schroder
AI4CE
114
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0
19 Dec 2019
Symmetric block-low-rank layers for fully reversible multilevel neural networks
Bas Peters
E. Haber
Keegan Lensink
107
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0
14 Dec 2019
Dynamical System Inspired Adaptive Time Stepping Controller for Residual Network Families
AAAI Conference on Artificial Intelligence (AAAI), 2019
Jianlong Wu
Yue Yu
Hongyang Li
Xia Li
Tiancheng Shen
Zhouchen Lin
OOD
223
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0
23 Nov 2019
Discrete and Continuous Deep Residual Learning Over Graphs
International Conference on Agents and Artificial Intelligence (ICAART), 2019
Pedro H. C. Avelar
Anderson R. Tavares
Marco Gori
Luís C. Lamb
GNN
162
21
0
21 Nov 2019
Review: Ordinary Differential Equations For Deep Learning
Xinshi Chen
AI4TS
AI4CE
156
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0
01 Nov 2019
LeanConvNets: Low-cost Yet Effective Convolutional Neural Networks
IEEE Journal on Selected Topics in Signal Processing (JSTSP), 2019
Jonathan Ephrath
Moshe Eliasof
Lars Ruthotto
E. Haber
Eran Treister
285
18
0
29 Oct 2019
Neural Similarity Learning
Neural Information Processing Systems (NeurIPS), 2019
Weiyang Liu
Zhen Liu
James M. Rehg
Le Song
179
32
0
28 Oct 2019
Neural network augmented wave-equation simulation
Ali Siahkoohi
M. Louboutin
Felix J. Herrmann
137
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0
27 Sep 2019
Differential equations as models of deep neural networks
J. Ruseckas
87
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0
09 Sep 2019
Port-Hamiltonian Approach to Neural Network Training
IEEE Conference on Decision and Control (CDC), 2019
Stefano Massaroli
Michael Poli
Federico Califano
Angela Faragasso
Jinkyoo Park
Atsushi Yamashita
Hajime Asama
109
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0
06 Sep 2019
An Event-Driven Approach to Serverless Seismic Imaging in the Cloud
IEEE Transactions on Parallel and Distributed Systems (TPDS), 2019
Philipp A. Witte
M. Louboutin
H. Modzelewski
Charles Jones
J. Selvage
Felix J. Herrmann
105
24
0
03 Sep 2019
An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications
Computer Methods in Applied Mechanics and Engineering (CMAME), 2019
E. Samaniego
C. Anitescu
S. Goswami
Vien Minh Nguyen-Thanh
Hongwei Guo
Khader M. Hamdia
Timon Rabczuk
X. Zhuang
PINN
AI4CE
442
1,637
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27 Aug 2019
Neural Dynamics on Complex Networks
Knowledge Discovery and Data Mining (KDD), 2019
Chengxi Zang
Haiwei Yang
AI4CE
199
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18 Aug 2019
NeuPDE: Neural Network Based Ordinary and Partial Differential Equations for Modeling Time-Dependent Data
Mathematical and Scientific Machine Learning (MSML), 2019
Yifan Sun
Linan Zhang
Hayden Schaeffer
AI4TS
136
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0
08 Aug 2019
Bilevel Optimization, Deep Learning and Fractional Laplacian Regularization with Applications in Tomography
Inverse Problems (IP), 2019
Harbir Antil
Z. Di
R. Khatri
139
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0
22 Jul 2019
A Review on Deep Learning in Medical Image Reconstruction
Journal of the Operations Research Society of China (JORSC), 2019
Hai-Miao Zhang
Bin Dong
MedIm
382
148
0
23 Jun 2019
SNODE: Spectral Discretization of Neural ODEs for System Identification
International Conference on Learning Representations (ICLR), 2019
A. Quaglino
Marco Gallieri
Jonathan Masci
Jan Koutník
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277
52
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
172
41
0
10 Jun 2019
Learning Dynamics of Attention: Human Prior for Interpretable Machine Reasoning
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Wonjae Kim
Yoonho Lee
219
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0
28 May 2019
Fully Hyperbolic Convolutional Neural Networks
Research in the Mathematical Sciences (RMS), 2019
Keegan Lensink
Bas Peters
E. Haber
MedIm
204
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0
24 May 2019
Robust learning with implicit residual networks
Machine Learning and Knowledge Extraction (MLKE), 2019
Viktor Reshniak
Clayton Webster
OOD
307
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0
24 May 2019
Neural ODEs with stochastic vector field mixtures
European Conference on Artificial Intelligence (ECAI), 2019
Niall Twomey
Michał Kozłowski
Raúl Santos-Rodríguez
92
4
0
23 May 2019
Recurrent Neural Networks in the Eye of Differential Equations
M. Niu
L. Horesh
I. Chuang
AI4TS
127
31
0
29 Apr 2019
LeanResNet: A Low-cost Yet Effective Convolutional Residual Networks
Jonathan Ephrath
Lars Ruthotto
E. Haber
Eran Treister
105
4
0
15 Apr 2019
Augmented Neural ODEs
Emilien Dupont
Arnaud Doucet
Yee Whye Teh
BDL
510
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02 Apr 2019
IMEXnet: A Forward Stable Deep Neural Network
E. Haber
Keegan Lensink
Eran Treister
Lars Ruthotto
286
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0
06 Mar 2019
Towards Robust ResNet: A Small Step but A Giant Leap
International Joint Conference on Artificial Intelligence (IJCAI), 2019
Jingfeng Zhang
Bo Han
L. Wynter
K. H. Low
Mohan Kankanhalli
260
43
0
28 Feb 2019
ANODE: Unconditionally Accurate Memory-Efficient Gradients for Neural ODEs
International Joint Conference on Artificial Intelligence (IJCAI), 2019
A. Gholami
Kurt Keutzer
George Biros
384
190
0
27 Feb 2019
Fleet Prognosis with Physics-informed Recurrent Neural Networks
R. Nascimento
F. Viana
87
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16 Jan 2019
Spherical CNNs on Unstructured Grids
Chiyu “Max”
Jingwei Huang
K. Kashinath
Lawrence Berkeley Nat’l Lab
P. Marcus
Matthias Niessner
271
197
0
07 Jan 2019
Networks for Nonlinear Diffusion Problems in Imaging
Simon Arridge
A. Hauptmann
DiffM
MedIm
124
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29 Nov 2018
Forward Stability of ResNet and Its Variants
Journal of Mathematical Imaging and Vision (JMIV), 2018
Linan Zhang
Hayden Schaeffer
195
53
0
24 Nov 2018
Convolutional neural networks in phase space and inverse problems
SIAM Journal on Applied Mathematics (SIAM J. Appl. Math.), 2018
G. Uhlmann
Yiran Wang
80
3
0
09 Nov 2018
Invertible Residual Networks
Jens Behrmann
Will Grathwohl
Ricky T. Q. Chen
David Duvenaud
J. Jacobsen
UQCV
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452
673
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02 Nov 2018
Smooth Inter-layer Propagation of Stabilized Neural Networks for Classification
Jingfeng Zhang
L. Wynter
AI4TS
90
1
0
27 Sep 2018
Monge-Ampère Flow for Generative Modeling
Linfeng Zhang
E. Weinan
Lei Wang
DRL
237
70
0
26 Sep 2018
Fundamentals of Recurrent Neural Network (RNN) and Long Short-Term Memory (LSTM) Network
A. Sherstinsky
829
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Neural Ordinary Differential Equations
T. Chen
Yulia Rubanova
J. Bettencourt
David Duvenaud
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0
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Residual Networks as Geodesic Flows of Diffeomorphisms
F. Rousseau
Ronan Fablet
AI4CE
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24 May 2018
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