Selecting embedding delays: an overview of embedding techniques and a new method using persistent homology
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Publication:6573461
DOI10.1063/5.0137223MaRDI QIDQ6573461
Michael Small, Shannon Dee Algar, Eugene Tan, Débora Cristina Corrêa, David M. Walker, Thomas Stemler
Publication date: 16 July 2024
Published in: Chaos (Search for Journal in Brave)
Related Items (3)
Model adaptive phase space reconstruction ⋮ An algorithm for simplified recurrence analysis ⋮ Erratum to: ``Selecting embedding delays: an overview of embedding techniques and a new method using persistent homology
Cites Work
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- Ripser: efficient computation of Vietoris-Rips persistence barcodes
- Testing for nonlinearity in time series: the method of surrogate data
- Determining Lyapunov exponents from a time series
- Measuring the strangeness of strange attractors
- Extracting qualitative dynamics from experimental data
- State space reconstruction in the presence of noise
- Singular-value decomposition in attractor reconstruction: Pitfalls and precautions
- An analytic approach to practical state space reconstruction
- Embedology
- Variation of Lyapunov exponents on a strange attractor
- Über den höheren Zusammenhang kompakter Räume und eine Klasse von zusammenhangstreuen Abbildungen.
- Optimal embedding parameters: a modelling paradigm
- Embedding as a modeling problem
- Robustness of LSTM neural networks for multi-step forecasting of chaotic time series
- Fractal dimension estimation with persistent homology: a comparative study
- An efficient algorithm for determining the convex hull of a finite planar set
- On the evidence of deterministic chaos in ECG: Surrogate and predictability analysis
- Topological analysis of chaotic dynamical systems
- Noise Induced Jumping Dynamics Between Synchronized Modes
- Independent coordinates for strange attractors from mutual information
- A COMPARATIVE STUDY OF INFORMATION CRITERIA FOR MODEL SELECTION
- A unified approach to attractor reconstruction
- MDL denoising
- Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data
- Time lagged ordinal partition networks for capturing dynamics of continuous dynamical systems
- Estimation of the information by an adaptive partitioning of the observation space
- Nonlinear Time Series Analysis
- Good and bad predictions: Assessing and improving the replication of chaotic attractors by means of reservoir computing
- A Fractal Dimension for Measures via Persistent Homology
- EVALUATION OF MUTUAL INFORMATION ESTIMATORS FOR TIME SERIES
- Persistent topological features of dynamical systems
- Persistence Images: A Stable Vector Representation of Persistent Homology
- Differentiable manifolds.
- Distortions of reconstruction for chaotic attractors
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