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Linearly-Recurrent Autoencoder Networks for Learning Dynamics
v1v2 (latest)

Linearly-Recurrent Autoencoder Networks for Learning Dynamics

4 December 2017
Samuel E. Otto
C. Rowley
    AI4CE
ArXiv (abs)PDFHTML

Papers citing "Linearly-Recurrent Autoencoder Networks for Learning Dynamics"

50 / 124 papers shown
Title
Intrinsic Dimensionality of Fermi-Pasta-Ulam-Tsingou High-Dimensional Trajectories Through Manifold Learning: A Linear Approach
Intrinsic Dimensionality of Fermi-Pasta-Ulam-Tsingou High-Dimensional Trajectories Through Manifold Learning: A Linear Approach
Gionni Marchetti
41
0
0
01 Jul 2025
T-SHRED: Symbolic Regression for Regularization and Model Discovery with Transformer Shallow Recurrent Decoders
T-SHRED: Symbolic Regression for Regularization and Model Discovery with Transformer Shallow Recurrent Decoders
Alexey Yermakov
David Zoro
Mars Liyao Gao
J. Nathan Kutz
25
0
0
18 Jun 2025
Nonlinear Model Order Reduction of Dynamical Systems in Process Engineering: Review and Comparison
Nonlinear Model Order Reduction of Dynamical Systems in Process Engineering: Review and Comparison
Jan C. Schulze
Alexander Mitsos
22
0
0
15 Jun 2025
Automated Manifold Learning for Reduced Order Modeling
Automated Manifold Learning for Reduced Order Modeling
Imran Nasim
Melanie Weber
AI4CE
61
0
0
02 Jun 2025
One-Step Offline Distillation of Diffusion-based Models via Koopman Modeling
One-Step Offline Distillation of Diffusion-based Models via Koopman Modeling
Nimrod Berman
Ilan Naiman
Moshe Eliasof
Hedi Zisling
Omri Azencot
DiffMOffRL
91
0
0
19 May 2025
True Zero-Shot Inference of Dynamical Systems Preserving Long-Term Statistics
True Zero-Shot Inference of Dynamical Systems Preserving Long-Term Statistics
Christoph Jürgen Hemmer
Daniel Durstewitz
AI4TSSyDaAI4CE
297
1
0
19 May 2025
Surrogate Modeling of 3D Rayleigh-Benard Convection with Equivariant Autoencoders
Surrogate Modeling of 3D Rayleigh-Benard Convection with Equivariant Autoencoders
Fynn Fromme
Christine Allen-Blanchette
Hans Harder
Sebastian Peitz
AI4CESyDa
92
0
0
19 May 2025
Compression, Regularity, Randomness and Emergent Structure: Rethinking Physical Complexity in the Data-Driven Era
Compression, Regularity, Randomness and Emergent Structure: Rethinking Physical Complexity in the Data-Driven Era
Nima Dehghani
AI4CE
110
0
0
12 May 2025
Augmented Invertible Koopman Autoencoder for long-term time series forecasting
Augmented Invertible Koopman Autoencoder for long-term time series forecasting
Anthony Frion
Lucas Drumetz
M. Dalla Mura
Guillaume Tochon
Abdeldjalil Aissa El Bey
AI4TS
81
0
0
17 Mar 2025
Model-free system identification of surface ships in waves via Hankel dynamic mode decomposition with control
Giorgio Palma
A. Serani
Shawn Aram
David W. Wundrow
David Drazen
Matteo Diez
70
0
0
17 Feb 2025
Koopman Learning with Episodic Memory
Koopman Learning with Episodic Memory
William T. Redman
Dean Huang
M. Fonoberova
Igor Mezić
97
0
0
08 Jan 2025
On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions
On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions
Jake Buzhardt
C. Ricardo Constante-Amores
Michael D. Graham
171
2
0
20 Nov 2024
Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in
  Dynamical Systems Reconstruction
Almost-Linear RNNs Yield Highly Interpretable Symbolic Codes in Dynamical Systems Reconstruction
Manuel Brenner
Christoph Jürgen Hemmer
Zahra Monfared
Daniel Durstewitz
AI4CE
80
4
0
18 Oct 2024
On latent dynamics learning in nonlinear reduced order modeling
On latent dynamics learning in nonlinear reduced order modeling
N. Farenga
S. Fresca
Simone Brivio
Andrea Manzoni
AI4CE
69
1
0
27 Aug 2024
Learning Noise-Robust Stable Koopman Operator for Control with Hankel DMD
Learning Noise-Robust Stable Koopman Operator for Control with Hankel DMD
Shahriar Akbar Sakib
Shaowu Pan
112
0
0
13 Aug 2024
Enhanced Prediction of Multi-Agent Trajectories via Control Inference
  and State-Space Dynamics
Enhanced Prediction of Multi-Agent Trajectories via Control Inference and State-Space Dynamics
Yu Zhang
Yongxiang Zou
Haoyu Zhang
Zeyu Liu
Houcheng Li
Long Cheng
AI4CE
79
1
0
08 Aug 2024
Koopman Operators in Robot Learning
Koopman Operators in Robot Learning
Lu Shi
Masih Haseli
Giorgos Mamakoukas
Daniel Bruder
Ian Abraham
Todd Murphey
Jorge Cortes
Konstantinos Karydis
AI4CE
120
8
0
08 Aug 2024
Minimum Reduced-Order Models via Causal Inference
Minimum Reduced-Order Models via Causal Inference
Nan Chen
Honghu Liu
CML
53
0
0
29 Jun 2024
Recurrent Deep Kernel Learning of Dynamical Systems
Recurrent Deep Kernel Learning of Dynamical Systems
N. Botteghi
Paolo Motta
Andrea Manzoni
P. Zunino
Mengwu Guo
60
1
0
30 May 2024
Vector Field-Guided Learning Predictive Control for Motion Planning of
  Mobile Robots with Uncertain Dynamics
Vector Field-Guided Learning Predictive Control for Motion Planning of Mobile Robots with Uncertain Dynamics
Yang Lu
Weijia Yao
Yongqian Xiao
Xinglong Zhang
Xin Xu
Yaonan Wang
Dingbang Xiao
63
0
0
14 May 2024
Nonparametric Control Koopman Operators
Nonparametric Control Koopman Operators
Petar Bevanda
Bas Driessen
Lucian-Cristian Iacob
Roland Toth
Stefan Sosnowski
Sandra Hirche
105
2
0
12 May 2024
Koopman-Based Surrogate Modelling of Turbulent Rayleigh-Bénard
  Convection
Koopman-Based Surrogate Modelling of Turbulent Rayleigh-Bénard Convection
Thorben Markmann
Michiel Straat
Barbara Hammer
AI4CE
87
4
0
10 May 2024
CGNSDE: Conditional Gaussian Neural Stochastic Differential Equation for
  Modeling Complex Systems and Data Assimilation
CGNSDE: Conditional Gaussian Neural Stochastic Differential Equation for Modeling Complex Systems and Data Assimilation
Chuanqi Chen
Nan Chen
Jin-Long Wu
AI4CE
78
4
0
10 Apr 2024
Systematic construction of continuous-time neural networks for linear
  dynamical systems
Systematic construction of continuous-time neural networks for linear dynamical systems
Chinmay Datar
Adwait Datar
Felix Dietrich
W. Schilders
AI4TS
58
1
0
24 Mar 2024
Temporally Consistent Koopman Autoencoders for Forecasting Dynamical Systems
Temporally Consistent Koopman Autoencoders for Forecasting Dynamical Systems
I. Nayak
Ananda Chakrabarty
Mrinal Kumar
Fernando L. Teixeira
Debdipta Goswami
116
5
0
19 Mar 2024
Koopman Ensembles for Probabilistic Time Series Forecasting
Koopman Ensembles for Probabilistic Time Series Forecasting
Anthony Frion
Lucas Drumetz
Guillaume Tochon
M. Dalla Mura
Albdeldjalil Aissa El Bey
AI4TS
48
0
0
11 Mar 2024
Koopman-Assisted Reinforcement Learning
Koopman-Assisted Reinforcement Learning
Preston Rozwood
Edward Mehrez
Ludger Paehler
Wen Sun
Steven L. Brunton
109
10
0
04 Mar 2024
Out-of-Domain Generalization in Dynamical Systems Reconstruction
Out-of-Domain Generalization in Dynamical Systems Reconstruction
Niclas Alexander Göring
Florian Hess
Manuel Brenner
Zahra Monfared
Daniel Durstewitz
AI4CE
105
16
0
28 Feb 2024
Phase autoencoder for limit-cycle oscillators
Phase autoencoder for limit-cycle oscillators
K. Yawata
Kai Fukami
Kunihiko Taira
Hiroya Nakao
126
9
0
28 Feb 2024
Machine Learning based Prediction of Ditching Loads
Machine Learning based Prediction of Ditching Loads
Henning Schwarz
Micha Überrück
J. Zemke
Thomas Rung
MUAI4CE
47
1
0
16 Feb 2024
RefreshNet: Learning Multiscale Dynamics through Hierarchical Refreshing
RefreshNet: Learning Multiscale Dynamics through Hierarchical Refreshing
Junaid Farooq
Danish Rafiq
Pantelis R. Vlachas
M. A. Bazaz
59
0
0
24 Jan 2024
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model
  Reduction for Operator Learning
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning
Hao Liu
Biraj Dahal
Rongjie Lai
Wenjing Liao
AI4CE
60
5
0
19 Jan 2024
Mori-Zwanzig latent space Koopman closure for nonlinear autoencoder
Mori-Zwanzig latent space Koopman closure for nonlinear autoencoder
Priyam Gupta
Peter J. Schmid
D. Sipp
T. Sayadi
Georgios Rigas
118
5
0
16 Oct 2023
Enhancing Predictive Capabilities in Data-Driven Dynamical Modeling with
  Automatic Differentiation: Koopman and Neural ODE Approaches
Enhancing Predictive Capabilities in Data-Driven Dynamical Modeling with Automatic Differentiation: Koopman and Neural ODE Approaches
Ricardo Constante-Amores
Alec J. Linot
Michael D. Graham
76
10
0
10 Oct 2023
Why should autoencoders work?
Why should autoencoders work?
Matthew D. Kvalheim
E.D. Sontag
118
2
0
03 Oct 2023
Deep Learning in Deterministic Computational Mechanics
Deep Learning in Deterministic Computational Mechanics
L. Herrmann
Stefan Kollmannsberger
AI4CEPINN
118
0
0
27 Sep 2023
Interpretable learning of effective dynamics for multiscale systems
Interpretable learning of effective dynamics for multiscale systems
Emmanuel Menier
Sebastian Kaltenbach
Mouadh Yagoubi
Marc Schoenauer
Petros Koumoutsakos
AI4CE
79
7
0
11 Sep 2023
Neural Koopman prior for data assimilation
Neural Koopman prior for data assimilation
Anthony Frion
Lucas Drumetz
M. Dalla Mura
Guillaume Tochon
Abdeldjalil Aissa El Bey
AI4TSAI4CE
75
5
0
11 Sep 2023
Multi-fidelity reduced-order surrogate modeling
Multi-fidelity reduced-order surrogate modeling
Paolo Conti
Mengwu Guo
Andrea Manzoni
A. Frangi
Steven L. Brunton
N. Kutz
AI4CE
93
29
0
01 Sep 2023
Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired
  Embeddings for Nonlinear Canonical Hamiltonian Dynamics
Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics
P. Goyal
Süleyman Yıldız
P. Benner
89
3
0
26 Aug 2023
Learning to Predict 3D Rotational Dynamics from Images of a Rigid Body
  with Unknown Mass Distribution
Learning to Predict 3D Rotational Dynamics from Images of a Rigid Body with Unknown Mass Distribution
J. Mason
Christine Allen-Blanchette
Nicholas Zolman
Elizabeth Davison
Naomi Leonard
3DH
32
4
0
24 Aug 2023
Learning invariant representations of time-homogeneous stochastic
  dynamical systems
Learning invariant representations of time-homogeneous stochastic dynamical systems
Vladimir Kostic
P. Novelli
Riccardo Grazzi
Karim Lounici
Massimiliano Pontil
70
8
0
19 Jul 2023
Koopman operator learning using invertible neural networks
Koopman operator learning using invertible neural networks
Yuhuang Meng
Jian-Kai Huang
Yue Qiu
53
14
0
30 Jun 2023
PyKoopman: A Python Package for Data-Driven Approximation of the Koopman
  Operator
PyKoopman: A Python Package for Data-Driven Approximation of the Koopman Operator
Shaowu Pan
E. Kaiser
Brian M. de Silva
J. Nathan Kutz
Steven L. Brunton
118
8
0
22 Jun 2023
Active-Learning-Driven Surrogate Modeling for Efficient Simulation of
  Parametric Nonlinear Systems
Active-Learning-Driven Surrogate Modeling for Efficient Simulation of Parametric Nonlinear Systems
Harshit Kapadia
Lihong Feng
P. Benner
36
11
0
09 Jun 2023
Generalized Teacher Forcing for Learning Chaotic Dynamics
Generalized Teacher Forcing for Learning Chaotic Dynamics
Florian Hess
Zahra Monfared
Manuela Brenner
Daniel Durstewitz
AI4CE
259
36
0
07 Jun 2023
Koopman Kernel Regression
Koopman Kernel Regression
Petar Bevanda
Maximilian Beier
Armin Lederer
Stefan Sosnowski
Eyke Hüllermeier
Sandra Hirche
AI4TS
84
16
0
25 May 2023
Learning Linear Embeddings for Non-Linear Network Dynamics with Koopman
  Message Passing
Learning Linear Embeddings for Non-Linear Network Dynamics with Koopman Message Passing
King Fai Yeh
Paris D. L. Flood
William T. Redman
Pietro Lio
69
1
0
15 May 2023
On the lifting and reconstruction of nonlinear systems with multiple
  invariant sets
On the lifting and reconstruction of nonlinear systems with multiple invariant sets
Shaowu Pan
Karthik Duraisamy
124
4
0
24 Apr 2023
Multifactor Sequential Disentanglement via Structured Koopman
  Autoencoders
Multifactor Sequential Disentanglement via Structured Koopman Autoencoders
Nimrod Berman
Ilana D Naiman
Omri Azencot
CoGe
89
24
0
30 Mar 2023
123
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