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Learning Dissipative Dynamics in Chaotic Systems

Learning Dissipative Dynamics in Chaotic Systems

13 June 2021
Zong-Yi Li
Miguel Liu-Schiaffini
Nikola B. Kovachki
Burigede Liu
Kamyar Azizzadenesheli
K. Bhattacharya
Andrew M. Stuart
Anima Anandkumar
    AI4CE
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Papers citing "Learning Dissipative Dynamics in Chaotic Systems"

11 / 11 papers shown
Title
State-space models are accurate and efficient neural operators for dynamical systems
State-space models are accurate and efficient neural operators for dynamical systems
Zheyuan Hu
Nazanin Ahmadi Daryakenari
Qianli Shen
Kenji Kawaguchi
George Karniadakis
Mamba
AI4CE
72
11
0
28 Jan 2025
Comparing and Contrasting Deep Learning Weather Prediction Backbones on
  Navier-Stokes and Atmospheric Dynamics
Comparing and Contrasting Deep Learning Weather Prediction Backbones on Navier-Stokes and Atmospheric Dynamics
Matthias Karlbauer
Danielle C. Maddix
Abdul Fatir Ansari
Boran Han
Gaurav Gupta
Yuyang Wang
Andrew Stuart
Michael W. Mahoney
AI4TS
56
1
0
19 Jul 2024
Weak baselines and reporting biases lead to overoptimism in machine
  learning for fluid-related partial differential equations
Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations
N. McGreivy
Ammar Hakim
AI4CE
34
43
0
09 Jul 2024
Investigating the Ability of PINNs To Solve Burgers' PDE Near
  Finite-Time BlowUp
Investigating the Ability of PINNs To Solve Burgers' PDE Near Finite-Time BlowUp
Dibyakanti Kumar
Anirbit Mukherjee
31
2
0
08 Oct 2023
Nonlocality and Nonlinearity Implies Universality in Operator Learning
Nonlocality and Nonlinearity Implies Universality in Operator Learning
S. Lanthaler
Zong-Yi Li
Andrew M. Stuart
26
16
0
26 Apr 2023
Score-based Diffusion Models in Function Space
Score-based Diffusion Models in Function Space
Jae Hyun Lim
Nikola B. Kovachki
Ricardo Baptista
Christopher Beckham
Kamyar Azizzadenesheli
...
Karsten Kreis
Jan Kautz
Christopher Pal
Arash Vahdat
Anima Anandkumar
DiffM
77
37
0
14 Feb 2023
Tractable Dendritic RNNs for Reconstructing Nonlinear Dynamical Systems
Tractable Dendritic RNNs for Reconstructing Nonlinear Dynamical Systems
Manuela Brenner
Florian Hess
Jonas M. Mikhaeil
Leonard Bereska
Zahra Monfared
Po-Chen Kuo
Daniel Durstewitz
AI4CE
37
29
0
06 Jul 2022
Towards Size-Independent Generalization Bounds for Deep Operator Nets
Towards Size-Independent Generalization Bounds for Deep Operator Nets
Pulkit Gopalani
Sayar Karmakar
Dibyakanti Kumar
Anirbit Mukherjee
AI4CE
24
5
0
23 May 2022
Deep Learning of Chaotic Systems from Partially-Observed Data
Deep Learning of Chaotic Systems from Partially-Observed Data
V. Churchill
D. Xiu
37
12
0
12 May 2022
Fourier Neural Operator for Parametric Partial Differential Equations
Fourier Neural Operator for Parametric Partial Differential Equations
Zong-Yi Li
Nikola B. Kovachki
Kamyar Azizzadenesheli
Burigede Liu
K. Bhattacharya
Andrew M. Stuart
Anima Anandkumar
AI4CE
226
2,287
0
18 Oct 2020
Convolutional LSTM Network: A Machine Learning Approach for
  Precipitation Nowcasting
Convolutional LSTM Network: A Machine Learning Approach for Precipitation Nowcasting
Xingjian Shi
Zhourong Chen
Hao Wang
Dit-Yan Yeung
W. Wong
W. Woo
233
7,904
0
13 Jun 2015
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