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2006.07220
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On Second Order Behaviour in Augmented Neural ODEs
12 June 2020
Alexander Norcliffe
Cristian Bodnar
Ben Day
Nikola Simidjievski
Pietro Lió
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Papers citing
"On Second Order Behaviour in Augmented Neural ODEs"
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On Vanishing Gradients, Over-Smoothing, and Over-Squashing in GNNs: Bridging Recurrent and Graph Learning
Alvaro Arroyo
Alessio Gravina
Benjamin Gutteridge
Federico Barbero
Claudio Gallicchio
Xiaowen Dong
Michael M. Bronstein
P. Vandergheynst
42
2
0
15 Feb 2025
Understanding and Mitigating Membership Inference Risks of Neural Ordinary Differential Equations
Sanghyun Hong
Fan Wu
A. Gruber
Kookjin Lee
42
0
0
12 Jan 2025
Cross-Modal Few-Shot Learning with Second-Order Neural Ordinary Differential Equations
Yi Zhang
Chun-Wun Cheng
Junyi He
Zhihai He
Carola-Bibiane Schonlieb
Yuyan Chen
Angelica I Aviles-Rivero
AI4TS
86
0
0
20 Dec 2024
ControlSynth Neural ODEs: Modeling Dynamical Systems with Guaranteed Convergence
Wenjie Mei
Dongzhe Zheng
Shihua Li
AI4CE
34
2
0
04 Nov 2024
Neural Network Emulator for Atmospheric Chemical ODE
Zhi-Song Liu
Petri S. Clusius
Michael Boy
42
3
0
03 Aug 2024
System-Aware Neural ODE Processes for Few-Shot Bayesian Optimization
Jixiang Qing
Becky D Langdon
Robert M. Lee
B. Shafei
Mark van der Wilk
Calvin Tsay
Ruth Misener
37
1
0
04 Jun 2024
Rough Transformers: Lightweight and Continuous Time Series Modelling through Signature Patching
Fernando Moreno-Pino
Alvaro Arroyo
H. Waldon
Xiaowen Dong
Álvaro Cartea
AI4TS
34
1
0
31 May 2024
The Disappearance of Timestep Embedding in Modern Time-Dependent Neural Networks
Bum Jun Kim
Yoshinobu Kawahara
Sang Woo Kim
AI4TS
23
1
0
23 May 2024
Marrying Causal Representation Learning with Dynamical Systems for Science
Dingling Yao
Caroline Muller
Francesco Locatello
CML
AI4CE
42
6
0
22 May 2024
Mechanistic Neural Networks for Scientific Machine Learning
Adeel Pervez
Francesco Locatello
E. Gavves
PINN
AI4CE
19
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0
20 Feb 2024
Operator-learning-inspired Modeling of Neural Ordinary Differential Equations
Woojin Cho
Seunghyeon Cho
Hyundong Jin
Jinsung Jeon
Kookjin Lee
Sanghyun Hong
Dongeun Lee
Jonghyun Choi
Noseong Park
AI4TS
AI4CE
18
2
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16 Dec 2023
On Tuning Neural ODE for Stability, Consistency and Faster Convergence
Sheikh Waqas Akhtar
ODL
24
0
0
04 Dec 2023
Fourier Neural Differential Equations for learning Quantum Field Theories
Isaac Brant
Alexander Norcliffe
Pietro Lió
17
0
0
28 Nov 2023
The Missing U for Efficient Diffusion Models
Sergio Calvo-Ordoñez
Chun-Wun Cheng
Jiahao Huang
Lipei Zhang
Guang Yang
Carola-Bibiane Schonlieb
Angelica I Aviles-Rivero
DiffM
33
4
0
31 Oct 2023
Learning Continuous Network Emerging Dynamics from Scarce Observations via Data-Adaptive Stochastic Processes
Jiaxu Cui
Bing Sun
Jiming Liu
Bo Yang
20
1
0
25 Oct 2023
SEGNO: Generalizing Equivariant Graph Neural Networks with Physical Inductive Biases
Yang Liu
Jiashun Cheng
Haihong Zhao
Tingyang Xu
P. Zhao
Fugee Tsung
Jia Li
Yu Rong
AI4CE
40
18
0
25 Aug 2023
Faster Training of Neural ODEs Using Gauß-Legendre Quadrature
Alexander Norcliffe
M. Deisenroth
23
3
0
21 Aug 2023
Fading memory as inductive bias in residual recurrent networks
I. Dubinin
Felix Effenberger
43
4
0
27 Jul 2023
Stabilized Neural Differential Equations for Learning Dynamics with Explicit Constraints
Alistair J R White
Niki Kilbertus
Maximilian Gelbrecht
Niklas Boers
20
6
0
16 Jun 2023
Neural Oscillators are Universal
S. Lanthaler
T. Konstantin Rusch
Siddhartha Mishra
27
10
0
15 May 2023
Modulated Neural ODEs
I. Auzina
Çağatay Yıldız
Sara Magliacane
Matthias Bethge
E. Gavves
30
5
0
26 Feb 2023
Learning PDE Solution Operator for Continuous Modeling of Time-Series
Yesom Park
Jaemoo Choi
Changyeon Yoon
Changhoon Song
Myung-joo Kang
AI4TS
AI4CE
27
3
0
02 Feb 2023
Sparsity in Continuous-Depth Neural Networks
H. Aliee
Till Richter
Mikhail Solonin
I. Ibarra
Fabian J. Theis
Niki Kilbertus
29
10
0
26 Oct 2022
Reachability Analysis of a General Class of Neural Ordinary Differential Equations
Diego Manzanas Lopez
Patrick Musau
Nathaniel P. Hamilton
Taylor T. Johnson
23
14
0
13 Jul 2022
AdamNODEs: When Neural ODE Meets Adaptive Moment Estimation
Suneghyeon Cho
Sanghyun Hong
Kookjin Lee
Noseong Park
28
2
0
13 Jul 2022
ACMP: Allen-Cahn Message Passing for Graph Neural Networks with Particle Phase Transition
Yuelin Wang
Kai Yi
Xinliang Liu
Yu Guang Wang
Shi Jin
16
33
0
11 Jun 2022
Recognition Models to Learn Dynamics from Partial Observations with Neural ODEs
Mona Buisson-Fenet
V. Morgenthaler
Sebastian Trimpe
F. D. Meglio
46
6
0
25 May 2022
Neural ODEs with Irregular and Noisy Data
P. Goyal
P. Benner
26
4
0
19 May 2022
Proximal Implicit ODE Solvers for Accelerating Learning Neural ODEs
Justin Baker
Hedi Xia
Yiwei Wang
E. Cherkaev
A. Narayan
Long Chen
Jack Xin
Andrea L. Bertozzi
Stanley J. Osher
Bao Wang
14
6
0
19 Apr 2022
Learning POD of Complex Dynamics Using Heavy-ball Neural ODEs
Justin Baker
E. Cherkaev
A. Narayan
Bao Wang
AI4CE
13
4
0
24 Feb 2022
Characteristic Neural Ordinary Differential Equations
Xingzi Xu
Ali Hasan
Khalil Elkhalil
Jie Ding
Vahid Tarokh
BDL
29
3
0
25 Nov 2021
Constructing Neural Network-Based Models for Simulating Dynamical Systems
Christian Møldrup Legaard
Thomas Schranz
G. Schweiger
Ján Drgovna
Basak Falay
C. Gomes
Alexandros Iosifidis
M. Abkar
P. Larsen
PINN
AI4CE
33
93
0
02 Nov 2021
SE(3) Equivariant Graph Neural Networks with Complete Local Frames
Weitao Du
He Zhang
Yuanqi Du
Qi Meng
Wei Chen
Bin Shao
Tie-Yan Liu
56
79
0
26 Oct 2021
Neural Flows: Efficient Alternative to Neural ODEs
Marin Bilovs
Johanna Sommer
Syama Sundar Rangapuram
Tim Januschowski
Stephan Günnemann
AI4TS
18
70
0
25 Oct 2021
How Does Momentum Benefit Deep Neural Networks Architecture Design? A Few Case Studies
Bao Wang
Hedi Xia
T. Nguyen
Stanley Osher
AI4CE
39
10
0
13 Oct 2021
Heavy Ball Neural Ordinary Differential Equations
Hedi Xia
Vai Suliafu
H. Ji
T. Nguyen
Andrea L. Bertozzi
Stanley J. Osher
Bao Wang
32
56
0
10 Oct 2021
Modular Neural Ordinary Differential Equations
Max Zhu
P. Lio
Jacob Moss
PINN
37
2
0
15 Sep 2021
m-RevNet: Deep Reversible Neural Networks with Momentum
Duo Li
Shangqi Gao
16
5
0
12 Aug 2021
Forecasting the outcome of spintronic experiments with Neural Ordinary Differential Equations
Xing Chen
Flavio Abreu Araujo
M. Riou
J. Torrejon
D. Ravelosona
W. Kang
Weisheng Zhao
Julie Grollier
D. Querlioz
28
40
0
23 Jul 2021
Learning ODEs via Diffeomorphisms for Fast and Robust Integration
Weiming Zhi
Tin Lai
Lionel Ott
Edwin V. Bonilla
Fabio Ramos
OOD
23
4
0
04 Jul 2021
Beyond Predictions in Neural ODEs: Identification and Interventions
H. Aliee
Fabian J. Theis
Niki Kilbertus
CML
40
24
0
23 Jun 2021
Continuous-Depth Neural Models for Dynamic Graph Prediction
Michael Poli
Stefano Massaroli
Clayton M. Rabideau
Junyoung Park
Atsushi Yamashita
Hajime Asama
Jinkyoo Park
AI4CE
9
8
0
22 Jun 2021
Neural Controlled Differential Equations for Online Prediction Tasks
James Morrill
Patrick Kidger
Lingyi Yang
Terry Lyons
AI4TS
30
41
0
21 Jun 2021
Incorporating NODE with Pre-trained Neural Differential Operator for Learning Dynamics
Shiqi Gong
Qi Meng
Yue Wang
Lijun Wu
Wei Chen
Zhi-Ming Ma
Tie-Yan Liu
13
2
0
08 Jun 2021
Meta-learning using privileged information for dynamics
Ben Day
Alexander Norcliffe
Jacob Moss
Pietro Lió
21
2
0
29 Apr 2021
Neural ODE Processes
Alexander Norcliffe
Cristian Bodnar
Ben Day
Jacob Moss
Pietro Lió
BDL
AI4TS
33
63
0
23 Mar 2021
Momentum Residual Neural Networks
Michael E. Sander
Pierre Ablin
Mathieu Blondel
Gabriel Peyré
24
56
0
15 Feb 2021
Neural SDEs as Infinite-Dimensional GANs
Patrick Kidger
James Foster
Xuechen Li
Harald Oberhauser
Terry Lyons
DiffM
11
141
0
06 Feb 2021
STEER: Simple Temporal Regularization For Neural ODEs
Arna Ghosh
Harkirat Singh Behl
Emilien Dupont
Philip H. S. Torr
Vinay P. Namboodiri
BDL
AI4TS
27
74
0
18 Jun 2020
Convolutional Neural Networks combined with Runge-Kutta Methods
Mai Zhu
Bo Chang
Chong Fu
AI4CE
35
52
0
24 Feb 2018
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