Kernel methods for center manifold approximation and a weak data-based version of the center manifold theorem
From MaRDI portal
Publication:2077601
DOI10.1016/j.physd.2021.133007OpenAlexW3106954971MaRDI QIDQ2077601
Dominik Wittwar, Boumediene Hamzi, Bernard Haasdonk, Gabriele Santin
Publication date: 21 February 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.00338
Related Items (4)
Learning dynamical systems from data: a simple cross-validation perspective. III: Irregularly-sampled time series ⋮ Learning dynamical systems from data: a simple cross-validation perspective. IV: Case with partial observations ⋮ A note on microlocal kernel design for some slow-fast stochastic differential equations with critical transitions and application to EEG signals ⋮ One-shot learning of stochastic differential equations with data adapted kernels
Uses Software
Cites Work
- Unnamed Item
- Geometric theory of semilinear parabolic equations
- Applications of centre manifold theory
- Interpolation in the limit of increasingly flat radial basis functions
- Kernel methods for the approximation of some key quantities of nonlinear systems
- Near-optimal data-independent point locations for radial basis function interpolation
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- Greedy algorithms for matrix-valued kernels
- Greedy kernel methods for accelerating implicit integrators for parametric ODEs
- Greedy kernel methods for center manifold approximation
- Data-driven approximation of the Koopman generator: model reduction, system identification, and control
- Operator-theoretic framework for forecasting nonlinear time series with kernel analog techniques
- A novel class of stabilized greedy kernel approximation algorithms: convergence, stability and uniform point distribution
- Bifurcations of topological type at singular points of parametrized vector fields
- Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions
- Stability of the center-stable manifold
- The stable, center-stable, center, center-unstable, unstable manifolds
- Approximate interpolation with applications to selecting smoothing parameters
- Simple examples of the derivation of amplitude equations for systems of equations possessing bifurcations
- A Smooth Converse Lyapunov Theorem for Robust Stability
- Kernel Methods for the Approximation of Nonlinear Systems
- Convergence rate of the data-independent $P$-greedy algorithm in kernel-based approximation
- On Learning Vector-Valued Functions
- Theory of Reproducing Kernels
- Scattered Data Approximation
This page was built for publication: Kernel methods for center manifold approximation and a weak data-based version of the center manifold theorem
