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Rigorous data-driven computation of spectral properties of Koopman
  operators for dynamical systems

Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems

29 November 2021
Matthew J. Colbrook
Alex Townsend
ArXivPDFHTML

Papers citing "Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems"

20 / 20 papers shown
Title
Deep Koopman-layered Model with Universal Property Based on Toeplitz Matrices
Deep Koopman-layered Model with Universal Property Based on Toeplitz Matrices
Yuka Hashimoto
Tomoharu Iwata
18
0
0
03 Oct 2024
A Novel Use of Pseudospectra in Mathematical Biology: Understanding HPA
  Axis Sensitivity
A Novel Use of Pseudospectra in Mathematical Biology: Understanding HPA Axis Sensitivity
Catherine Drysdale
Matthew J. Colbrook
18
1
0
01 Aug 2024
Limits and Powers of Koopman Learning
Limits and Powers of Koopman Learning
Matthew J. Colbrook
Igor Mezić
Alexei Stepanenko
19
10
0
08 Jul 2024
Multiplicative Dynamic Mode Decomposition
Multiplicative Dynamic Mode Decomposition
Nicolas Boullé
Matthew J. Colbrook
14
2
0
08 May 2024
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction
  Decompositions for Koopman Operators
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators
Matthew J. Colbrook
Catherine Drysdale
Andrew Horning
19
5
0
01 May 2024
Modal Analysis of Spatiotemporal Data via Multivariate Gaussian Process
  Regression
Modal Analysis of Spatiotemporal Data via Multivariate Gaussian Process Regression
Jiwoo Song
Daning Huang
14
0
0
19 Mar 2024
Koopman-Assisted Reinforcement Learning
Koopman-Assisted Reinforcement Learning
Preston Rozwood
Edward Mehrez
Ludger Paehler
Wen Sun
Steven L. Brunton
19
6
0
04 Mar 2024
Operator Learning: Algorithms and Analysis
Operator Learning: Algorithms and Analysis
Nikola B. Kovachki
S. Lanthaler
Andrew M. Stuart
28
22
0
24 Feb 2024
PyDMD: A Python package for robust dynamic mode decomposition
PyDMD: A Python package for robust dynamic mode decomposition
Sara M. Ichinaga
Francesco Andreuzzi
N. Demo
M. Tezzele
Karl Lapo
G. Rozza
Steven L. Brunton
J. Nathan Kutz
AI4CE
23
16
0
12 Feb 2024
On the Convergence of Hermitian Dynamic Mode Decomposition
On the Convergence of Hermitian Dynamic Mode Decomposition
Nicolas Boullé
Matthew J. Colbrook
14
2
0
06 Jan 2024
Beyond expectations: Residual Dynamic Mode Decomposition and Variance
  for Stochastic Dynamical Systems
Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems
Matthew J. Colbrook
Qin Li
Ryan V. Raut
Alex Townsend
17
16
0
21 Aug 2023
Orthogonal polynomial approximation and Extended Dynamic Mode
  Decomposition in chaos
Orthogonal polynomial approximation and Extended Dynamic Mode Decomposition in chaos
Caroline L. Wormell
8
3
0
14 May 2023
Identifying Equivalent Training Dynamics
Identifying Equivalent Training Dynamics
William T. Redman
J. M. Bello-Rivas
M. Fonoberova
Ryan Mohr
Ioannis G. Kevrekidis
Igor Mezić
17
2
0
17 Feb 2023
Sharp Spectral Rates for Koopman Operator Learning
Sharp Spectral Rates for Koopman Operator Learning
Vladimir Kostic
Karim Lounici
P. Novelli
Massimiliano Pontil
11
11
0
03 Feb 2023
Learning Bilinear Models of Actuated Koopman Generators from
  Partially-Observed Trajectories
Learning Bilinear Models of Actuated Koopman Generators from Partially-Observed Trajectories
Samuel E. Otto
Sebastian Peitz
C. Rowley
21
19
0
20 Sep 2022
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving
  Dynamical Systems
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems
Matthew J. Colbrook
15
34
0
06 Sep 2022
Ensemble forecasts in reproducing kernel Hilbert space family
Ensemble forecasts in reproducing kernel Hilbert space family
Benjamin Dufée
Berenger Hug
É. Mémin
G. Tissot
6
1
0
29 Jul 2022
Residual Dynamic Mode Decomposition: Robust and verified Koopmanism
Residual Dynamic Mode Decomposition: Robust and verified Koopmanism
Matthew J. Colbrook
Lorna J. Ayton
Máté Szőke
14
58
0
19 May 2022
Learning to Forecast Dynamical Systems from Streaming Data
Learning to Forecast Dynamical Systems from Streaming Data
D. Giannakis
Amelia Henriksen
J. Tropp
Rachel A. Ward
AI4TS
30
13
0
20 Sep 2021
Koopman Spectrum Nonlinear Regulators and Efficient Online Learning
Koopman Spectrum Nonlinear Regulators and Efficient Online Learning
Motoya Ohnishi
Isao Ishikawa
Kendall Lowrey
Masahiro Ikeda
Sham Kakade
Yoshinobu Kawahara
11
5
0
30 Jun 2021
1