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On explaining the surprising success of reservoir computing forecaster of chaos? The universal machine learning dynamical system with contrast to VAR and DMD

Chaos (Woodbury, N.Y.), 2021-01, Vol.31 (1)

Bollt, Erik

2021

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Next generation reservoir computing

Nature communications, 2021-09, Vol.12 (1), p.5564-5564, Article 5564

2021

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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)]

Chaos (Woodbury, N.Y.), 2021-04, Vol.31 (4)

Bollt, Erik

2021

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Geometric considerations of a good dictionary for Koopman analysis of dynamical systems: Cardinality, “primary eigenfunction,” and efficient representation

Communications in nonlinear science & numerical simulation, 2021-09, Vol.100, p.105833, Article 105833

Bollt, Erik M.

2021

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Causation entropy identifies indirect influences, dominance of neighbors and anticipatory couplings

Physica. D, 2014, Vol.267, p.49-57

2014

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Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator

Chaos (Woodbury, N.Y.), 2017-10, Vol.27 (10)

2017

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Inferring causation from time series in Earth system sciences

Nature communications, 2019-06, Vol.10 (1), p.2553-13, Article 2553

2019

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Open or closed? Information flow decided by transfer operators and forecastability quality metric

Chaos (Woodbury, N.Y.), 2018-07, Vol.28 (7)

Bollt, Erik M.

2018

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An information-theoretic, all-scales approach to comparing networks

Applied network science, 2019-07, Vol.4 (1), p.1-15, Article 45

2019

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Introduction to Focus Issue: Causation inference and information flow in dynamical systems: Theory and applications

Chaos (Woodbury, N.Y.), 2018-07, Vol.28 (7)

2018

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Learning transfer operators by kernel density estimation

Chaos (Woodbury, N.Y.), 2024-02, Vol.34 (2)

2024

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Randomized Projection Learning Method for Dynamic Mode Decomposition

Mathematics (Basel), 2021-11, Vol.9 (21), p.2803

2021

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Geometric k-nearest neighbor estimation of entropy and mutual information

Chaos (Woodbury, N.Y.), 2018-03, Vol.28 (3)

2018

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Identifying the Coupling Structure in Complex Systems through the Optimal Causation Entropy Principle

Entropy (Basel, Switzerland), 2014-06, Vol.16 (6), p.3416-3433

2014

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Spontaneous emergence of leadership patterns drives synchronization in complex human networks

Scientific reports, 2021-09, Vol.11 (1), p.18379-18379, Article 18379

2021

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Anatomy of leadership in collective behaviour

Chaos (Woodbury, N.Y.), 2018-07, Vol.28 (7)

2018

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On Geometry of Information Flow for Causal Inference

Entropy (Basel, Switzerland), 2020-03, Vol.22 (4), p.396

2020

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Local method for detecting communities

Physical review. E, Statistical, nonlinear, and soft matter physics, 2005-10, Vol.72 (4 Pt 2), p.046108-046108, Article 046108

2005

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SYNCHRONIZATION AS A PROCESS OF SHARING AND TRANSFERRING INFORMATION

International journal of bifurcation and chaos in applied sciences and engineering, 2012-11, Vol.22 (11), p.1250261

BOLLT, ERIK M.

2012

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Beach-level 24-hour forecasts of Florida red tide-induced respiratory irritation

Harmful algae, 2022-01, Vol.111, p.102149-102149, Article 102149

2022

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Stability analysis of intralayer synchronization in time-varying multilayer networks with generic coupling functions

Physical review. E, 2022-02, Vol.105 (2), Article 024303

2022

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Manifold learning for organizing unstructured sets of process observations

Chaos (Woodbury, N.Y.), 2020-04, Vol.30 (4)

2020

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Fractal basins as a mechanism for the nimble brain

Scientific reports, 2023-11, Vol.13 (1), p.20860-20860, Article 20860

2023

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Collective behaviour across animal species

Scientific reports, 2014-01, Vol.4 (1), p.3723-3723, Article 3723

2014

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Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting

SIAM journal on applied dynamical systems, 2014-01, Vol.13 (3), p.1106-1136

2014

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On explaining the surprising success of reservoir computing forecaster of chaos? The universal machine learning dynamical system with contrast to VAR and DMD

Next generation reservoir computing

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)]

Geometric considerations of a good dictionary for Koopman analysis of dynamical systems: Cardinality, “primary eigenfunction,” and efficient representation

Causation entropy identifies indirect influences, dominance of neighbors and anticipatory couplings

Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator

Inferring causation from time series in Earth system sciences

Open or closed? Information flow decided by transfer operators and forecastability quality metric

An information-theoretic, all-scales approach to comparing networks

Introduction to Focus Issue: Causation inference and information flow in dynamical systems: Theory and applications

Learning transfer operators by kernel density estimation

Randomized Projection Learning Method for Dynamic Mode Decomposition

Geometric k-nearest neighbor estimation of entropy and mutual information

Identifying the Coupling Structure in Complex Systems through the Optimal Causation Entropy Principle

Spontaneous emergence of leadership patterns drives synchronization in complex human networks

Anatomy of leadership in collective behaviour

On Geometry of Information Flow for Causal Inference

Local method for detecting communities

SYNCHRONIZATION AS A PROCESS OF SHARING AND TRANSFERRING INFORMATION

Beach-level 24-hour forecasts of Florida red tide-induced respiratory irritation

Stability analysis of intralayer synchronization in time-varying multilayer networks with generic coupling functions

Manifold learning for organizing unstructured sets of process observations

Fractal basins as a mechanism for the nimble brain

Collective behaviour across animal species

Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting

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