Cover Image

Optimal Low-dimensional Approximation of Transfer Operators via Flow Matching: Computation and Error Analysis

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Zhang, Zhicheng, Guo, Ling, Wu, Hao
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis Dynamical Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Kernel Methods for the Approximation of the Eigenfunctions of the Koopman Operator
by: Lee, Jonghyeon, et al.
Published: (2024)

Kernel Methods for the Construction of Certified Lyapunov Functions via Approximate Koopman Eigenfunctions
by: Giesl, P., et al.
Published: (2026)

Parallelized computation of quasi-periodic solutions for finite element problems: A Fourier series expansion-based shooting method
by: Wu, Junqing, et al.
Published: (2025)

Optimum dimensional synthesis of planar mechanisms with geometric constraints
by: Garcia-Marina, V., et al.
Published: (2024)

Using nodal coordinates as variables for the dimensional synthesis of mechanisms
by: Garcia-Marina, V., et al.
Published: (2024)

Incorporating Continuous Dependence Qualifies Physics-Informed Neural Networks for Operator Learning
by: Li, Guojie, et al.
Published: (2026)

Numerical approximation of the Koopman-von Neumann equation: Operator learning and quantum computing
by: Klus, Stefan, et al.
Published: (2026)

Method of Successive Approximations for Stochastic Optimal Control: Contractivity and Convergence
by: Taoufik, Safouane, et al.
Published: (2024)

Practicable Simulation-Free Model Order Reduction by Nonlinear Moment Matching
by: Varona, Maria Cruz, et al.
Published: (2019)

A Jacobi Field Approach to Splitting Detection in Schrödinger Bridge
by: Jiao, Chunhai, et al.
Published: (2026)

Trustworthy Koopman Operator Learning: Invariance Diagnostics and Error Bounds
by: Conradie, Gustav, et al.
Published: (2026)

Joint State-Parameter Estimation for the Reduced Fracture Model via the United Filter
by: Huynh, Toan, et al.
Published: (2025)

Sampling via Gradient Flows in the Space of Probability Measures
by: Chen, Yifan, et al.
Published: (2023)

Crime hotspot dynamics in residential burglary models with police response
by: Hao, Baoli, et al.
Published: (2026)

Convergence Analysis of the Random Ordinate Method for Mitigating the Ray Effect
by: Li, Lei, et al.
Published: (2025)

Calculating Domain of Attraction Boundary of Power Systems Based on the Gentlest Ascent Dynamics
by: Wu, Sixu, et al.
Published: (2026)

Computational Seismic Fracture Synthesis of Tidal Barrage using Enhanced Isotropic Plasticity Damage Mechanics and Coupled Lagrangian-Eulerian Multiphase Interaction
by: Chowdhury, Sayan, et al.
Published: (2024)

Backpropagation in hyperbolic chaos via adjoint shadowing
by: Ni, Angxiu
Published: (2022)

Sparse identification of time delay systems via pseudospectral collocation
by: Bozzo, Enrico, et al.
Published: (2024)

Embedding Method by Real Numerical Algebraic Geometry for Structurally Unamenable Differential-Algebraic Equations
by: Yang, Wenqiang, et al.
Published: (2021)

Stochastic bifurcation analysis via polynomial chaos: consistency and convergence of branch-approximating solutions
by: Venier, Giacomo, et al.
Published: (2026)

Deciphering culprits for cyanobacterial blooms and lake vulnerability in north-temperate lakes
by: Serpico, Jacob, et al.
Published: (2024)

Operator Learning for Smoothing and Forecasting
by: Calvello, Edoardo, et al.
Published: (2026)

Total value adjustment of Bermudan option valuation under pure jump Lévy fluctuations
by: Yuan, Gangnan, et al.
Published: (2021)

Vocabulary for Universal Approximation: A Linguistic Perspective of Mapping Compositions
by: Cai, Yongqiang
Published: (2023)

Enhancing Solutions for Complex PDEs: Introducing Complementary Convolution and Equivariant Attention in Fourier Neural Operators
by: Zhao, Xuanle, et al.
Published: (2023)

Kernel Methods for Some Transport Equations with Application to Learning Kernels for the Approximation of Koopman Eigenfunctions: A Unified Approach via Variational Methods, Green's Functions and the Method of Characteristics
by: Hamzi, Boumediene, et al.
Published: (2026)

Energy-Preserving Reduced Operator Inference for Efficient Design and Control
by: Koike, Tomoki, et al.
Published: (2024)

Efficient Parametric SVD of Koopman Operator for Stochastic Dynamical Systems
by: Jeong, Minchan, et al.
Published: (2025)

Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference
by: Goyal, Pawan, et al.
Published: (2023)

Scalable Optimal Motion Planning for Multi-Agent Systems by Cosserat Theory of Rods
by: Golestaneh, Amirreza Fahim, et al.
Published: (2024)

A Frobenius-Optimal Projection for Enforcing Linear Conservation in Learned Dynamical Models
by: Mango, John M., et al.
Published: (2025)

Computer assisted proofs for transverse heteroclinics by the parameterization method
by: Murray, Maxime, et al.
Published: (2024)

Efficient, Multimodal, and Derivative-Free Bayesian Inference With Fisher-Rao Gradient Flows
by: Chen, Yifan, et al.
Published: (2024)

Kernel-Based LMI Approaches to Solving the Hamilton-Jacobi-Bellman Equation and Nonlinear Optimal Control
by: Hamzi, Boumediene, et al.
Published: (2026)

How to split a tera-polynomial
by: Vigneron, Francois, et al.
Published: (2024)

Reduced Data-Driven Turbulence Closure for Capturing Long-Term Statistics
by: Hoekstra, Rik, et al.
Published: (2024)

Data-driven Discovery of Delay Differential Equations with Discrete Delays
by: Pecile, Alessandro, et al.
Published: (2024)

Data-driven approximation of Koopman operators and generators: Convergence rates and error bounds
by: Llamazares-Elias, Liam, et al.
Published: (2024)

Development of multi-physics finite element model to investigate electromagnetic forming and simultaneous multi-point perforations of aluminium tube
by: Chetry, Avinash, et al.
Published: (2024)