Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Learning Theory for Dynamical Systems - MaRDI portal

Learning Theory for Dynamical Systems (Q6132792)

From MaRDI portal

Jump to:navigation, search

scientific article; zbMATH DE number 7729136

Language	Label	Description	Also known as
English	Learning Theory for Dynamical Systems	scientific article; zbMATH DE number 7729136

Statements

scholarly article

0 references

Learning Theory for Dynamical Systems (English)

0 references

0 references

Suddhasattwa Das

0 references

SIAM Journal on Applied Dynamical Systems

0 references

publication date

17 August 2023

0 references

full work available at URL

https://arxiv.org/abs/2208.05349

0 references

zbMATH Keywords

matrix cocycle

0 references

Lyapunov exponent

0 references

reservoir computing

0 references

delay-coordinates

0 references

mixing

0 references

direct forecast

0 references

iterative forecast

0 references

MaRDI profile type

MaRDI publication profile

0 references

Operator-theoretic framework for forecasting nonlinear time series with kernel analog techniques

0 references

Markov structures and decay of correlations for non-uniformly expanding dynamical systems

0 references

Lyapunov exponents and rates of mixing for one-dimensional maps

0 references

0 references

Smoothness of invariant manifolds for nonautonomous equations

0 references

Stable manifolds for nonautonomous equations without exponential dichotomy

0 references

Time-Scale Separation from Diffusion-Mapped Delay Coordinates

0 references

Equivalence of physical and SRB measures in random dynamical systems

0 references

The Lyapunov exponents of generic volume-preserving and symplectic maps

0 references

Erratum: “On explaining the surprising success of reservoir computing forecaster of chaos? The universal machine learning dynamical system with contrasts to VAR and DMD” [Chaos 31(1), 013108 (2021)]

0 references

0 references

Deep learning of conjugate mappings

0 references

Nonlinear prediction of chaotic time series

0 references

0 references

Liapunov multipliers and decay of correlations in dynamical systems

0 references

Delay-coordinate maps and the spectra of Koopman operators

0 references

Koopman spectra in reproducing kernel Hilbert spaces

0 references

Super convergence of ergodic averages for quasiperiodic orbits

0 references

The topological invariance of Lyapunov exponents in embedded dynamics

0 references

Is the largest Lyapunov exponent preserved in embedded dynamics?

0 references

Lyapunov exponents of linear cocycles. Continuity via large deviations

0 references

Coherent structures and isolated spectrum for Perron–Frobenius cocycles

0 references

Products of Random Matrices

0 references

Random matrix products and measures on projective spaces

0 references

Nonlinear Regression

0 references

Reproducing kernel Hilbert space compactification of unitary evolution groups

0 references

Fading memory echo state networks are universal

0 references

Quantitative Pesin theory for Anosov diffeomorphisms and flows

0 references

Learning strange attractors with reservoir systems

0 references

Stochastic nonlinear time series forecasting using time-delay reservoir computers: performance and universality

0 references

0 references

Numerical orbits of chaotic processes represent true orbits

0 references

Machine learning for prediction with missing dynamics

0 references

Embedding and approximation theorems for echo state networks

0 references

Echo state networks trained by Tikhonov least squares are \(L^2(\mu)\) approximators of ergodic dynamical systems

0 references

Lyapunov exponents, entropy and periodic orbits for diffeomorphisms

0 references

Optimal Construction of Koopman Eigenfunctions for Prediction and Control

0 references

Regularized local linear prediction of chaotic time series

0 references

The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula

0 references

The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension

0 references

Approximation of Bernoulli measures for non-uniformly hyperbolic systems

0 references

Reservoir computing approaches to recurrent neural network training

0 references

Model Reduction with Memory and the Machine Learning of Dynamical Systems

0 references

Time-series learning of latent-space dynamics for reduced-order model closure

0 references

Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data

0 references

FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS

0 references

Ergodic theory of differentiable dynamical systems

0 references

0 references

A concept of homeomorphic defect for defining mostly conjugate dynamical systems

0 references

Identification and prediction of low dimensional dynamics

0 references

Regularity of invariant graphs for forced systems

0 references

A variational approach to the consistency of spectral clustering

0 references

(Dis)continuity of Lyapunov exponents

0 references

SRB measures as zero-noise limits

0 references

Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits

0 references

Statistical properties of dynamical systems with some hyperbolicity

0 references

Recurrence times and rates of mixing

0 references

Analog forecasting with dynamics-adapted kernels

0 references

Identifiers

zbMATH Open document ID

0 references

0 references

10.1137/22m1516865

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

zbMATH DE Number

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6132792

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q6132792&oldid=37552690"