Maximally predictive states: from partial observations to long timescales (Q6572694)

scientific article; zbMATH DE number 7881263

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English	Maximally predictive states: from partial observations to long timescales	scientific article; zbMATH DE number 7881263

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Maximally predictive states: from partial observations to long timescales (English)

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16 July 2024

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Delay embeddings for forced systems. I: Deterministic forcing

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Hamiltonian systems and transformations in Hilbert space.

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Comparison of systems with complex behavior

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Spectral properties of dynamical systems, model reduction and decompositions

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Applied and computational measurable dynamics

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Chaos, Scattering and Statistical Mechanics

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Extracting macroscopic dynamics: model problems and algorithms

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Stochastic Processes and Applications

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Chaos, fractals, and noise: Stochastic aspects of dynamics.

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Time-scale separation from diffusion-mapped delay coordinates

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Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator

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Delay-coordinate maps and the spectra of Koopman operators

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Data-driven spectral decomposition and forecasting of ergodic dynamical systems

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Reconstruction of normal forms by learning informed observation geometries from data

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Kernel-based prediction of non-Markovian time series

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Transition manifolds of complex metastable systems. Theory and data-driven computation of effective dynamics

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Generic Observability of Differentiable Systems

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Transport, Collective Motion, and Brownian Motion

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Optimal prediction with memory

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Toward a quantitative theory of self-generated complexity

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State space reconstruction in the presence of noise

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An analytic approach to practical state space reconstruction

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Parameter Estimation for a Discretely Observed Integrated Diffusion Process

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Parameter estimation for multiscale diffusions

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Deterministic Nonperiodic Flow

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Q5186444

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Q4544264

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Q3223595

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On the Approximation of Complicated Dynamical Behavior

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Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains

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Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles

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Statistically optimal almost-invariant sets

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A Computational Method to Extract Macroscopic Variables and Their Dynamics in Multiscale Systems

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Almost-invariant sets and invariant manifolds - connecting probabilistic and geometric descriptions of coherent structures in flows

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Q4748912

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Q5331664

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Entropy estimation of symbol sequences

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What symbolic dynamics do we get with a misplaced partition? On the validity of threshold crossings analysis of chaotic time-series

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LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS

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Bayesian and quasi-Bayesian estimators for mutual information from discrete data

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CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY

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An introduction to Markov state models and their application to long timescale molecular simulation

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Data-driven model reduction and transfer operator approximation

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Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process

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Coherent sets for nonautonomous dynamical systems

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Transport in time-dependent dynamical systems: Finite-time coherent sets

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Diffusion maps, spectral clustering and reaction coordinates of dynamical systems

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Eigendecompositions of transfer operators in reproducing kernel Hilbert spaces

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On the numerical approximation of the Perron-Frobenius and Koopman operator

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Q5396710

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ARPACK Users' Guide

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A database of rigorous and high-precision periodic orbits of the Lorenz model

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Do numerical orbits of chaotic dynamical processes represent true orbits?

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Is every approximate trajectory of some process near an exact trajectory of a nearby process?

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An equation for continuous chaos

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A two-dimensional mapping with a strange attractor

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Identifiers

DOI

10.1063/5.0129398

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6572694