Cover Image

Learning dynamically inspired bases for Koopman and transfer operator approximation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Froyland, Gary, Kühl, Kevin
Format:	Preprint
Published:	2025
Subjects:	Dynamical Systems Machine Learning Numerical Analysis 47A15, 37C30, 47A58, 68T07
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Wavelet-Based Observables for Koopman Analysis: An Extended Dynamic Mode Decomposition Framework
by: Tilki, Cankat, et al.
Published: (2026)

Certified spectral approximation of transfer operators and the Gauss map
by: Nisoli, Isaia
Published: (2026)

Deep-Koopman-KANDy: Dictionary Discovery for Deep-Koopman Operators with Kolmogorov-Arnold Networks for Dynamics
by: Slote, Kevin, et al.
Published: (2026)

Activation Saturation and Floquet Spectrum Collapse in Neural ODEs
by: Matzakos, Nikolaos M.
Published: (2026)

Linear dynamics of random products of operators
by: Gillet, Valentin
Published: (2025)

$L^\infty$-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition
by: Köhne, Frederik, et al.
Published: (2024)

Convergent Methods for Koopman Operators on Reproducing Kernel Hilbert Spaces
by: Boullé, Nicolas, et al.
Published: (2025)

On the structure of complex spectra and eigenfunctions of transfer and Koopman operators
by: Castro, Matheus M, et al.
Published: (2025)

Properties of best approximations with respect to the Ky Fan $p$-$k$ norm, and the strict spectral approximant of a matrix
by: Grover, Priyanka, et al.
Published: (2026)

Spectral flow and variational bifurcation
by: Pejsachowicz, J.
Published: (2024)

Conjugating by singular operators: On the boundedness of similarity transforms near singular points
by: Falkowski, Daniel, et al.
Published: (2024)

Linear dynamics of random products of weighted shifts
by: Gillet, Valentin
Published: (2025)

On the speed of convergence in the ergodic theorem for shift operators
by: Chalmoukis, Nikolaos, et al.
Published: (2023)

On the operators of Hardy-Littlewood-Pólya type
by: Jin, Jianjun
Published: (2022)

A Koopman-Takens theorem: Linear least squares prediction of nonlinear time series
by: Koltai, Péter, et al.
Published: (2023)

Quasi-compactness of transfer operators for topological Markov shifts with holes
by: Tanaka, Haruyoshi
Published: (2022)

Convergence properties of dynamic mode decomposition for analytic interval maps
by: Akindji, Elliz, et al.
Published: (2024)

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families
by: Sorg, Christopher
Published: (2026)

A pseudospectral approach to rigorous numerical estimation of Ruelle resonances of transfer operators
by: Blumenthal, Alex, et al.
Published: (2025)

A Kakutani-Rokhlin decomposition for conditionally ergodic process in the measure-free setting of vector lattices
by: Azouzi, Youssef, et al.
Published: (2024)

Improved error bounds for Koopman operator and reconstructed trajectories approximations with kernel-based methods
by: Olguín, Diego, et al.
Published: (2025)

Hyperinvariant subspaces for normaloid essential isometric operators
by: Bala, Neeru, et al.
Published: (2020)

Spectral characterization of shadowing for linear operators on Hilbert spaces
by: Pituk, Mihály
Published: (2025)

Barnsley-Navascués fractal operators on Banach spaces on the Sierpiński gasket
by: Yadav, Asheesh Kumar, et al.
Published: (2025)

Neural-Guided Domain Restriction to Accelerate Pseudospectra Computation for Structured Non-normal Banded Matrices
by: Punia, Amit, et al.
Published: (2026)

Weak disjointness of hypercyclic operators
by: Li, Jian, et al.
Published: (2025)

A data-dependent regularization method based on the graph Laplacian
by: Bianchi, Davide, et al.
Published: (2023)

Residual SCI Upper Bounds And Lower Witnesses For Koopman Approximate Point Spectra In $L^p$ For $1<p<\infty$: Extended Version
by: Sorg, Christopher
Published: (2025)

Square Functions and Variational Estimates for Ritt Operators on $L^1$
by: Hults, Jennifer, et al.
Published: (2025)

Frequently recurrent backward shifts
by: Cardeccia, Rodrigo, et al.
Published: (2024)

Evans function, parity and nonautonomous bifurcations
by: Pötzsche, Christian, et al.
Published: (2025)

Existence, scaling, and spectral gap for traveling fronts in the 2D renormalized Allen--Cahn equation
by: Chiusole, Gideon, et al.
Published: (2025)

Frequently recurrent operators
by: Bonilla, Antonio, et al.
Published: (2020)

A Unified Framework for Lifted Training and Inversion Approaches
by: Wang, Xiaoyu, et al.
Published: (2025)

On a binary operation for positive operators
by: Furuichi, Shigeru, et al.
Published: (2024)

New Properties and Refined Bounds for the $q$-Numerical Range
by: Rashid, Mohammad H. M.
Published: (2025)

Dunford property for composition operators on $H^p$-spaces
by: Gallardo-Gutiérrez, Eva A., et al.
Published: (2024)

Positive operator-valued noncommutative polynomials are squares
by: Jindal, Abhay, et al.
Published: (2025)

Speed of Weak Mixing for the Chacon Map
by: Moll, Nelson
Published: (2023)

Refinements of generalized Euclidean operator radius inequalities of 2-tuple operators
by: Jana, Suvendu, et al.
Published: (2023)