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Learning Differential Equations that are Easy to Solve

Learning Differential Equations that are Easy to Solve

9 July 2020
Jacob Kelly
J. Bettencourt
Matthew J. Johnson
D. Duvenaud
ArXivPDFHTML

Papers citing "Learning Differential Equations that are Easy to Solve"

29 / 79 papers shown
Title
Neural Flows: Efficient Alternative to Neural ODEs
Neural Flows: Efficient Alternative to Neural ODEs
Marin Bilovs
Johanna Sommer
Syama Sundar Rangapuram
Tim Januschowski
Stephan Günnemann
AI4TS
16
68
0
25 Oct 2021
Beltrami Flow and Neural Diffusion on Graphs
Beltrami Flow and Neural Diffusion on Graphs
B. Chamberlain
J. Rowbottom
D. Eynard
Francesco Di Giovanni
Xiaowen Dong
M. Bronstein
AI4CE
32
79
0
18 Oct 2021
How Does Momentum Benefit Deep Neural Networks Architecture Design? A
  Few Case Studies
How Does Momentum Benefit Deep Neural Networks Architecture Design? A Few Case Studies
Bao Wang
Hedi Xia
T. Nguyen
Stanley Osher
AI4CE
37
10
0
13 Oct 2021
Heavy Ball Neural Ordinary Differential Equations
Heavy Ball Neural Ordinary Differential Equations
Hedi Xia
Vai Suliafu
H. Ji
T. Nguyen
Andrea L. Bertozzi
Stanley J. Osher
Bao Wang
25
55
0
10 Oct 2021
Second-Order Neural ODE Optimizer
Second-Order Neural ODE Optimizer
Guan-Horng Liu
T. Chen
Evangelos A. Theodorou
16
11
0
29 Sep 2021
Neural Networks with Physics-Informed Architectures and Constraints for
  Dynamical Systems Modeling
Neural Networks with Physics-Informed Architectures and Constraints for Dynamical Systems Modeling
Franck Djeumou
Cyrus Neary
Eric Goubault
S. Putot
Ufuk Topcu
PINN
AI4CE
34
68
0
14 Sep 2021
Stabilizing Equilibrium Models by Jacobian Regularization
Stabilizing Equilibrium Models by Jacobian Regularization
Shaojie Bai
V. Koltun
J. Zico Kolter
17
57
0
28 Jun 2021
Distributional Gradient Matching for Learning Uncertain Neural Dynamics
  Models
Distributional Gradient Matching for Learning Uncertain Neural Dynamics Models
Lenart Treven
Philippe Wenk
Florian Dorfler
Andreas Krause
OOD
11
2
0
22 Jun 2021
GRAND: Graph Neural Diffusion
GRAND: Graph Neural Diffusion
B. Chamberlain
J. Rowbottom
Maria I. Gorinova
Stefan Webb
Emanuele Rossi
M. Bronstein
GNN
22
253
0
21 Jun 2021
Multi-Resolution Continuous Normalizing Flows
Multi-Resolution Continuous Normalizing Flows
Vikram S. Voleti
Chris Finlay
Adam M. Oberman
Christopher Pal
21
4
0
15 Jun 2021
Incorporating NODE with Pre-trained Neural Differential Operator for
  Learning Dynamics
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
8
2
0
08 Jun 2021
Framing RNN as a kernel method: A neural ODE approach
Framing RNN as a kernel method: A neural ODE approach
Adeline Fermanian
P. Marion
Jean-Philippe Vert
Gérard Biau
15
25
0
02 Jun 2021
ACE-NODE: Attentive Co-Evolving Neural Ordinary Differential Equations
ACE-NODE: Attentive Co-Evolving Neural Ordinary Differential Equations
Sheo Yon Jhin
Minju Jo
Taeyong Kong
Jinsung Jeon
Noseong Park
BDL
13
13
0
31 May 2021
Accelerating Neural ODEs Using Model Order Reduction
Accelerating Neural ODEs Using Model Order Reduction
M. Lehtimäki
L. Paunonen
M. Linne
17
16
0
28 May 2021
Opening the Blackbox: Accelerating Neural Differential Equations by
  Regularizing Internal Solver Heuristics
Opening the Blackbox: Accelerating Neural Differential Equations by Regularizing Internal Solver Heuristics
Avik Pal
Yingbo Ma
Viral B. Shah
Chris Rackauckas
25
35
0
09 May 2021
Segmenting Hybrid Trajectories using Latent ODEs
Segmenting Hybrid Trajectories using Latent ODEs
Ruian Shi
Q. Morris
BDL
6
6
0
09 May 2021
Meta-Solver for Neural Ordinary Differential Equations
Meta-Solver for Neural Ordinary Differential Equations
Julia Gusak
A. Katrutsa
Talgat Daulbaev
A. Cichocki
Ivan V. Oseledets
11
2
0
15 Mar 2021
Infinitely Deep Bayesian Neural Networks with Stochastic Differential
  Equations
Infinitely Deep Bayesian Neural Networks with Stochastic Differential Equations
Winnie Xu
Ricky T. Q. Chen
Xuechen Li
D. Duvenaud
BDL
UQCV
11
46
0
12 Feb 2021
Stable Implementation of Probabilistic ODE Solvers
Stable Implementation of Probabilistic ODE Solvers
Nicholas Kramer
Philipp Hennig
86
20
0
18 Dec 2020
Accelerating Continuous Normalizing Flow with Trajectory Polynomial
  Regularization
Accelerating Continuous Normalizing Flow with Trajectory Polynomial Regularization
Han Huang
Mi-Yen Yeh
10
8
0
08 Dec 2020
N-ODE Transformer: A Depth-Adaptive Variant of the Transformer Using
  Neural Ordinary Differential Equations
N-ODE Transformer: A Depth-Adaptive Variant of the Transformer Using Neural Ordinary Differential Equations
Aaron Baier-Reinio
H. Sterck
8
9
0
22 Oct 2020
Scalable Normalizing Flows for Permutation Invariant Densities
Scalable Normalizing Flows for Permutation Invariant Densities
Marin Bilos
Stephan Günnemann
TPM
11
23
0
07 Oct 2020
"Hey, that's not an ODE": Faster ODE Adjoints via Seminorms
"Hey, that's not an ODE": Faster ODE Adjoints via Seminorms
Patrick Kidger
Ricky T. Q. Chen
Terry Lyons
16
39
0
20 Sep 2020
ResNet After All? Neural ODEs and Their Numerical Solution
ResNet After All? Neural ODEs and Their Numerical Solution
Katharina Ott
P. Katiyar
Philipp Hennig
Michael Tiemann
23
29
0
30 Jul 2020
Deep learning of thermodynamics-aware reduced-order models from data
Deep learning of thermodynamics-aware reduced-order models from data
Quercus Hernandez
Alberto Badías
D. González
Francisco Chinesta
Elías Cueto
PINN
AI4CE
8
79
0
03 Jul 2020
Model-based Reinforcement Learning for Semi-Markov Decision Processes
  with Neural ODEs
Model-based Reinforcement Learning for Semi-Markov Decision Processes with Neural ODEs
Jianzhun Du
Joseph D. Futoma
Finale Doshi-Velez
17
49
0
29 Jun 2020
STEER: Simple Temporal Regularization For Neural ODEs
STEER: Simple Temporal Regularization For Neural ODEs
Arna Ghosh
Harkirat Singh Behl
Emilien Dupont
Philip H. S. Torr
Vinay P. Namboodiri
BDL
AI4TS
19
73
0
18 Jun 2020
Differentiable Molecular Simulations for Control and Learning
Differentiable Molecular Simulations for Control and Learning
Wujie Wang
Simon Axelrod
Rafael Gómez-Bombarelli
AI4CE
93
49
0
27 Feb 2020
Robust learning with implicit residual networks
Robust learning with implicit residual networks
Viktor Reshniak
Clayton Webster
OOD
17
22
0
24 May 2019
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