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Physica D: Nonlinear Phenomena, ISSN 0167-2789, 01/2014, Volume 267, pp. 49 - 57
Journal Article
Entropy, ISSN 1099-4300, 2014, Volume 16, Issue 6, pp. 3416 - 3433
...  Entropy 2014, 16, 3416-3433; doi:10.3390/e16063416 Article Jie Sun *, Carlo Cafaro and Erik M. Bollt Department of Mathematics, Clarkson University, 8... 
Complex and dynamical systems | Coupling structure | Optimal causation entropy | CHAOS | MEMORY | PHYSICS, MULTIDISCIPLINARY | INFORMATION | optimal causation entropy | CAUSALITY | complex and dynamical systems | CHAINS | coupling structure | EFFECTIVE CONNECTIVITY | UNIQUENESS | Approximation | Time series | Causation | Joining | Entropy | Sampling | Complex systems | Optimization
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 07/2018, Volume 28, Issue 7, p. 075309
...CHAOS 28, 075309 (2018) Open or closed? Information flow decided by transfer operators and forecastability quality metric Erik M. Bollt a) Department... 
CHAOS | MATHEMATICS, APPLIED | INVARIANT-MEASURES | DYNAMICAL-SYSTEMS | OPTIMAL CAUSATION ENTROPY | DIVERGENCE | ULAMS METHOD | FINITE APPROXIMATIONS | PHYSICS, MATHEMATICAL | FROBENIUS-PERRON OPERATOR | TRANSFORMATIONS | CONJECTURE
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 10/2005, Volume 72, Issue 4, p. 046108
We propose a method of community detection that is computationally inexpensive and possesses physical significance to a member of a social network. This method... 
PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | Physics - Disordered Systems and Neural Networks
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 05/2015, Volume 25, Issue 5, pp. 1550076 - 1-1550076-10
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 07/2018, Volume 28, Issue 7, p. 075308
...CHAOS 28, 075308 (2018) Anatomy of leadership in collective behaviour Joshua Garland, 1,a) Andrew M. Berdahl, 1,2 Jie Sun, 3,4,5,6 and Erik M. Bollt 3,6,7 1... 
MATHEMATICS, APPLIED | DOMINANCE | CAUSATION ENTROPY | DECISION-MAKING | MECHANISM | INFORMATION | SIGNALS | POWER | NETWORKS | ANIMAL GROUPS | PHYSICS, MATHEMATICAL | VOCALIZATIONS
Journal Article
SIAM Journal on Applied Dynamical Systems, ISSN 1536-0040, 2006, Volume 5, Issue 1, pp. 140 - 156
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 01/2017, Volume 94, pp. 8 - 15
While local models of dynamical systems have been highly successful in terms of using extensive data sets observing even a chaotic dynamical system to produce... 
Chaos | Inverse problems | Forecasting | Tikhonov regularization | Time delay embedding | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | TIME-SERIES | PHYSICS, MATHEMATICAL
Journal Article
Entropy, ISSN 1099-4300, 2014, Volume 16, Issue 9, pp. 5068 - 5077
...  Entropy 2014, 16, 5068-5077; doi:10.3390/e16095068 Editorial Erik M. Bollt * and Jie Sun Department of Mathematics, Clarkson University, 8 Clarkson Ave... 
Causality | Information flow | Complex systems | Dynamical systems | Modeling | information flow | dynamical systems | modeling | complex systems | MUTUAL INFORMATION | PHYSICS, MULTIDISCIPLINARY | SIGNAL RECOVERY | TIME-SERIES | STATE | causality | ENTROPY
Journal Article
SIAM Journal on Applied Dynamical Systems, ISSN 1536-0040, 2015, Volume 14, Issue 1, pp. 73 - 106
The broad abundance of time series data, which is in sharp contrast to limited knowledge of the underlying network dynamic processes that produce such... 
Causal network inference | Optimal causation entropy | Stochastic network dynamics | MATHEMATICS, APPLIED | INFORMATION | STABILITY | ALGORITHM | causal network inference | PHYSICS, MATHEMATICAL | THEORETICAL ANALYSIS | SYNCHRONIZATION | MODELS | optimal causation entropy | TIME-SERIES | stochastic network dynamics | EFFECTIVE CONNECTIVITY
Journal Article
Scientific Reports, ISSN 2045-2322, 01/2014, Volume 4, Issue 1, p. 3723
...Collective behaviour across animal species Pietro DeLellis1,2, Giovanni Polverino2, Gozde Ustuner2, Nicole Abaid3, Simone Macrı̀4, Erik M. Bollt5 & Maurizio... 
MULTIDISCIPLINARY SCIENCES | ZEBRAFISH | Behavior, Animal | Algorithms | Animals | Species Specificity | Artificial Intelligence | Isometric | Learning algorithms | Social behavior | Mapping | Navigation behavior | Species | Artificial intelligence | Robotics
Journal Article
Pattern Recognition, ISSN 0031-3203, 03/2019, Volume 87, pp. 226 - 236
•Our algorithm reveals underlying smooth manifolds of high-dimensional data.•The smoothing spline approach ensures the smoothness of a corrupted manifold.•The... 
Manifold | Noisy measurements | Geodesics | Smoothing spline | Nonlinear dimensionality reduction | PATTERN-RECOGNITION | ANOMALY DETECTION | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ISOMAP | ENGINEERING, ELECTRICAL & ELECTRONIC | Analysis | Algorithms
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 07/2013, Volume 23, Issue 7, pp. 1330026 - 1330017
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 07/2018, Volume 28, Issue 7, p. 075201
...CHAOS 28, 075201 (2018) Introduction to Focus Issue: Causation inference and information flow in dynamical systems: Theory and applications Erik M. Bollt... 
MATHEMATICS, APPLIED | NETWORK | PHYSICS, MATHEMATICAL | CAUSALITY | ENTROPY | PREDICTION
Journal Article