Equivariance and partial observations in Koopman operator theory for partial differential equations
Fuente:
arXiv
Saved in:
| Main Authors: | Peitz, Sebastian, Harder, Hans, Nüske, Feliks, Philipp, Friedrich, Schaller, Manuel, Worthmann, Karl |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Invariance of Gaussian RKHSs under Koopman operators of stochastic differential equations with constant matrix coefficients
by: Philipp, Friedrich, et al.
Published: (2024)
by: Philipp, Friedrich, et al.
Published: (2024)
Variance representations and convergence rates for data-driven approximations of Koopman operators
by: Philipp, Friedrich M., et al.
Published: (2024)
by: Philipp, Friedrich M., et al.
Published: (2024)
Group-Convolutional Extended Dynamic Mode Decomposition
by: Harder, Hans, et al.
Published: (2024)
by: Harder, Hans, et al.
Published: (2024)
Invariance of Gaussian RKHSs Under Koopman Operators of Stochastic Differential Equations With Constant Matrix Coefficients
by: Friedrich M. Philipp, et al.
Published: (2024)
by: Friedrich M. Philipp, et al.
Published: (2024)
Automatic feature identification in least-squares policy iteration using the Koopman operator framework
by: Zagabe, Christian Mugisho, et al.
Published: (2026)
by: Zagabe, Christian Mugisho, et al.
Published: (2026)
Koopman-based surrogate modeling for reinforcement-learning-control of Rayleigh-Benard convection
by: Plotzki, Tim, et al.
Published: (2026)
by: Plotzki, Tim, et al.
Published: (2026)
Modularized data-driven approximation of the Koopman operator and generator
by: Guo, Yang, et al.
Published: (2024)
by: Guo, Yang, et al.
Published: (2024)
Numerical approximation of the Koopman-von Neumann equation: Operator learning and quantum computing
by: Klus, Stefan, et al.
Published: (2026)
by: Klus, Stefan, et al.
Published: (2026)
Surrogate Modeling of 3D Rayleigh-Benard Convection with Equivariant Autoencoders
by: Fromme, Fynn, et al.
Published: (2025)
by: Fromme, Fynn, et al.
Published: (2025)
Koopman-based Control for Stochastic Systems: Application to Enhanced Sampling
by: Guo, Lei, et al.
Published: (2024)
by: Guo, Lei, et al.
Published: (2024)
Maximum-likelihood reprojections for reliable Koopman-based predictions and bifurcation analysis of parametric dynamical systems
by: van Goor, Pieter, et al.
Published: (2025)
by: van Goor, Pieter, et al.
Published: (2025)
Consistent Projection of Langevin Dynamics: Preserving Thermodynamics and Kinetics in Coarse-Grained Models
by: Nateghi, Vahid, et al.
Published: (2025)
by: Nateghi, Vahid, et al.
Published: (2025)
Koopman for stochastic dynamics: error bounds for kernel extended dynamic mode decomposition
by: Hertel, Maximiliano, et al.
Published: (2025)
by: Hertel, Maximiliano, et al.
Published: (2025)
Kinetically Consistent Coarse Graining using Kernel-based Extended Dynamic Mode Decomposition
by: Nateghi, Vahid, et al.
Published: (2024)
by: Nateghi, Vahid, et al.
Published: (2024)
$L^\infty$-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition
by: Köhne, Frederik, et al.
Published: (2024)
by: Köhne, Frederik, et al.
Published: (2024)
Accelerating the analysis of optical quantum systems using the Koopman operator
by: Hunstig, Anna, et al.
Published: (2023)
by: Hunstig, Anna, et al.
Published: (2023)
SafEDMD: A Koopman-based data-driven controller design framework for nonlinear dynamical systems
by: Strässer, Robin, et al.
Published: (2024)
by: Strässer, Robin, et al.
Published: (2024)
Efficient Approximation of Molecular Kinetics using Random Fourier Features
by: Nüske, Feliks, et al.
Published: (2023)
by: Nüske, Feliks, et al.
Published: (2023)
Bayesian Transfer Operators in Reproducing Kernel Hilbert Spaces
by: Boshoff, Septimus, et al.
Published: (2025)
by: Boshoff, Septimus, et al.
Published: (2025)
Koopman neural operator as a mesh-free solver of non-linear partial differential equations
by: Xiong, Wei, et al.
Published: (2023)
by: Xiong, Wei, et al.
Published: (2023)
Dynamical systems and complex networks: A Koopman operator perspective
by: Klus, Stefan, et al.
Published: (2024)
by: Klus, Stefan, et al.
Published: (2024)
Efficient probabilistic surrogate modeling techniques for partially-observed large-scale dynamical systems
by: Harder, Hans, et al.
Published: (2025)
by: Harder, Hans, et al.
Published: (2025)
Shaping the Koopman dictionary by learning on the Grassmannian
by: Schurig, Roland, et al.
Published: (2025)
by: Schurig, Roland, et al.
Published: (2025)
On Data-Driven Unbiased Predictors using the Koopman Operator
by: Schurig, Roland, et al.
Published: (2026)
by: Schurig, Roland, et al.
Published: (2026)
Recovering the state and dynamics of autonomous system with partial states solution using neural networks
by: Kag, Vijay
Published: (2024)
by: Kag, Vijay
Published: (2024)
Differentiable Turbulence: Closure as a partial differential equation constrained optimization
by: Shankar, Varun, et al.
Published: (2023)
by: Shankar, Varun, et al.
Published: (2023)
Optimal control of port-Hamiltonian systems: energy, entropy, and exergy
by: Philipp, Friedrich, et al.
Published: (2023)
by: Philipp, Friedrich, et al.
Published: (2023)
Koopman Kernel Regression
by: Bevanda, Petar, et al.
Published: (2023)
by: Bevanda, Petar, et al.
Published: (2023)
Koopman Learning with Episodic Memory
by: Redman, William T., et al.
Published: (2023)
by: Redman, William T., et al.
Published: (2023)
Kernel-based Koopman approximants for control: Flexible sampling, error analysis, and stability
by: Bold, Lea, et al.
Published: (2024)
by: Bold, Lea, et al.
Published: (2024)
Sparse identification of nonlinear dynamics and Koopman operators with Shallow Recurrent Decoder Networks
by: Gao, Mars Liyao, et al.
Published: (2025)
by: Gao, Mars Liyao, et al.
Published: (2025)
Closed-Loop Koopman Operator Approximation
by: Dahdah, Steven, et al.
Published: (2023)
by: Dahdah, Steven, et al.
Published: (2023)
Mori-Zwanzig latent space Koopman closure for nonlinear autoencoder
by: Gupta, Priyam, et al.
Published: (2023)
by: Gupta, Priyam, et al.
Published: (2023)
Physics-constrained convolutional neural networks for inverse problems in spatiotemporal partial differential equations
by: Kelshaw, Daniel, et al.
Published: (2024)
by: Kelshaw, Daniel, et al.
Published: (2024)
Spatial discretization of partial differential equations with integrals
by: McLachlan, Robert I
Published: (1998)
by: McLachlan, Robert I
Published: (1998)
A condensing approach to multiple shooting neural ordinary differential equation
by: Prabhu, Siddharth, et al.
Published: (2025)
by: Prabhu, Siddharth, et al.
Published: (2025)
Data-driven approximation of transfer operators for mean-field stochastic differential equations
by: Ioannou, Eirini, et al.
Published: (2025)
by: Ioannou, Eirini, et al.
Published: (2025)
Method of data forward generation with partial differential equations for machine learning modeling in fluid mechanics
by: Chen, Ruilin
Published: (2025)
by: Chen, Ruilin
Published: (2025)
Generative Modeling through Koopman Spectral Analysis: An Operator-Theoretic Perspective
by: Xu, Yuanchao, et al.
Published: (2025)
by: Xu, Yuanchao, et al.
Published: (2025)
Compression of the Koopman matrix for nonlinear physical models via hierarchical clustering
by: Nishikata, Tomoya, et al.
Published: (2024)
by: Nishikata, Tomoya, et al.
Published: (2024)
Similar Items
-
Invariance of Gaussian RKHSs under Koopman operators of stochastic differential equations with constant matrix coefficients
by: Philipp, Friedrich, et al.
Published: (2024) -
Variance representations and convergence rates for data-driven approximations of Koopman operators
by: Philipp, Friedrich M., et al.
Published: (2024) -
Group-Convolutional Extended Dynamic Mode Decomposition
by: Harder, Hans, et al.
Published: (2024) -
Invariance of Gaussian RKHSs Under Koopman Operators of Stochastic Differential Equations With Constant Matrix Coefficients
by: Friedrich M. Philipp, et al.
Published: (2024) -
Automatic feature identification in least-squares policy iteration using the Koopman operator framework
by: Zagabe, Christian Mugisho, et al.
Published: (2026)