Communities
Connect sessions
AI calendar
Organizations
Join Slack
Contact Sales
Search
Open menu
Home
Papers
1808.04258
Cited By
Model Reduction with Memory and the Machine Learning of Dynamical Systems
10 August 2018
Chao Ma
Jianchun Wang
E. Weinan
Re-assign community
ArXiv (abs)
PDF
HTML
Papers citing
"Model Reduction with Memory and the Machine Learning of Dynamical Systems"
28 / 28 papers shown
Learning Epidemiological Dynamics via the Finite Expression Method
Journal of Machine Learning for Modeling and Computing (JMLMC), 2024
Jianda Du
Senwei Liang
Chunmei Wang
247
1
0
31 Dec 2024
Data-driven Effective Modeling of Multiscale Stochastic Dynamical Systems
Yuán Chen
Dongbin Xiu
240
4
0
27 Aug 2024
Coarse Graining with Neural Operators for Simulating Chaotic Systems
Chuwei Wang
Julius Berner
Zongyi Li
Di Zhou
Jiayun Wang
Jane Bae
Anima Anandkumar
AI4CE
693
4
0
09 Aug 2024
Data-Driven Stochastic Closure Modeling via Conditional Diffusion Model and Neural Operator
Journal of Computational Physics (JCP), 2024
Xinghao Dong
Chuanqi Chen
Jin-Long Wu
DiffM
AI4CE
452
16
0
06 Aug 2024
A comparison of Single- and Double-generator formalisms for Thermodynamics-Informed Neural Networks
Pau Urdeitx
Ic´ıar Alfaro
David González
Francisco Chinesta
Elías Cueto
AI4CE
240
6
0
01 Apr 2024
Learning About Structural Errors in Models of Complex Dynamical Systems
Journal of Computational Physics (JCP), 2023
Jin-Long Wu
Matthew E. Levine
Tapio Schneider
Andrew M. Stuart
AI4CE
523
31
0
29 Dec 2023
Stochastic Data-Driven Variational Multiscale Reduced Order Models
Fei Lu
Changhong Mou
Honghu Liu
T. Iliescu
169
1
0
06 Sep 2022
Thermodynamics of learning physical phenomena
Archives of Computational Methods in Engineering (ACME), 2022
Elías Cueto
Francisco Chinesta
AI4CE
398
30
0
26 Jul 2022
Regression-based projection for learning Mori-Zwanzig operators
SIAM Journal on Applied Dynamical Systems (SIADS), 2022
Yen Ting Lin
Yifeng Tian
D. Perez
Daniel Livescu
225
15
0
10 May 2022
Learning POD of Complex Dynamics Using Heavy-ball Neural ODEs
Journal of Scientific Computing (J. Sci. Comput.), 2022
Justin Baker
E. Cherkaev
A. Narayan
Bao Wang
AI4CE
418
8
0
24 Feb 2022
Overview frequency principle/spectral bias in deep learning
Communication on Applied Mathematics and Computation (CAMC), 2022
Z. Xu
Yaoyu Zhang
Yaoyu Zhang
FaML
526
140
0
19 Jan 2022
Towards Model Reduction for Power System Transients with Physics-Informed PDE
Laurent Pagnier
Michael Chertkov
Julian Fritzsch
P. Jacquod
144
7
0
26 Oct 2021
Discovery of interpretable structural model errors by combining Bayesian sparse regression and data assimilation: A chaotic Kuramoto-Sivashinsky test case
R. Mojgani
Ashesh Chattopadhyay
Pedram Hassanzadeh
309
18
0
01 Oct 2021
A Framework for Machine Learning of Model Error in Dynamical Systems
Communications of the American Mathematical Society (Comm. Amer. Math. Soc.), 2021
Matthew E. Levine
Andrew M. Stuart
397
79
0
14 Jul 2021
Error Bounds of the Invariant Statistics in Machine Learning of Ergodic Itô Diffusions
He Zhang
J. Harlim
Xiantao Li
410
8
0
21 May 2021
Physics-aware, probabilistic model order reduction with guaranteed stability
International Conference on Learning Representations (ICLR), 2021
Sebastian Kaltenbach
P. Koutsourelakis
DiffM
AI4CE
342
16
0
14 Jan 2021
OnsagerNet: Learning Stable and Interpretable Dynamics using a Generalized Onsager Principle
Physical Review Fluids (Phys. Rev. Fluids), 2020
Haijun Yu
Xinyuan Tian
Weinan E
Qianxiao Li
AI4CE
349
56
0
06 Sep 2020
Integrating Machine Learning with Physics-Based Modeling
E. Weinan
Jiequn Han
Linfeng Zhang
PINN
AI4CE
263
26
0
04 Jun 2020
Differentiable Molecular Simulations for Control and Learning
Wujie Wang
Simon Axelrod
Rafael Gómez-Bombarelli
AI4CE
410
51
0
27 Feb 2020
Discovery of Dynamics Using Linear Multistep Methods
SIAM Journal on Numerical Analysis (SINUM), 2019
Rachael Keller
Q. Du
346
41
0
29 Dec 2019
Machine Learning for Prediction with Missing Dynamics
Journal of Computational Physics (JCP), 2019
J. Harlim
Shixiao W. Jiang
Senwei Liang
Haizhao Yang
AI4CE
362
70
0
13 Oct 2019
Data-driven model reduction, Wiener projections, and the Koopman-Mori-Zwanzig formalism
Kevin K. Lin
Fei Lu
342
16
0
21 Aug 2019
Extracting Interpretable Physical Parameters from Spatiotemporal Systems using Unsupervised Learning
Physical Review X (PRX), 2019
Peter Y. Lu
Samuel Kim
Marin Soljacic
AI4CE
368
69
0
13 Jul 2019
Enforcing constraints for time series prediction in supervised, unsupervised and reinforcement learning
P. Stinis
AI4TS
AI4CE
299
14
0
17 May 2019
Enforcing Statistical Constraints in Generative Adversarial Networks for Modeling Chaotic Dynamical Systems
Journal of Computational Physics (JCP), 2019
Jin-Long Wu
K. Kashinath
A. Albert
D. Chirila
P. Prabhat
Heng Xiao
AI4CE
228
147
0
13 May 2019
IMEXnet: A Forward Stable Deep Neural Network
E. Haber
Keegan Lensink
Eran Treister
Lars Ruthotto
398
45
0
06 Mar 2019
Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks
Zhi-Qin John Xu
Yaoyu Zhang
Yaoyu Zhang
Yan Xiao
Zheng Ma
942
700
0
19 Jan 2019
PDE-Net 2.0: Learning PDEs from Data with A Numeric-Symbolic Hybrid Deep Network
Zichao Long
Yiping Lu
Bin Dong
AI4CE
330
619
0
30 Nov 2018
1
Page 1 of 1
