Causation entropy from symbolic representations of dynamical systems

Causal Network Inference by Optimal Causation Entropy

(2015) Jie Sun et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Closure measures for coarse-graining of the tent map

(2014) Oliver Pfante et al.   CHAOS

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

(2014) Jie Sun et al.   Entropy

Effect of Age on Complexity and Causality of the Cardiovascular Control: Comparison between Model-Based and Model-Free Approaches

(2014) Alberto Porta et al.   PLoS One

Symbolic transfer entropy rate is equal to transfer entropy rate for bivariate finite-alphabet stationary ergodic Markov processes

(2013) Taichi Haruna et al.   EUROPEAN PHYSICAL JOURNAL B

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

(2013) Jie Sun et al.   PHYSICA D-NONLINEAR PHENOMENA

Exact significance test for Markov order

(2013) S.D. Pethel et al.   PHYSICA D-NONLINEAR PHENOMENA

Causal Information Approach to Partial Conditioning in Multivariate Data Sets

(2012) D. Marinazzo et al.   Computational and Mathematical Methods in Medicine

On Relativistic Quantum Information Properties of Entangled Wave Vectors of Massive Fermions

(2012) Carlo Cafaro et al.   INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

Markov chain order estimation with conditional mutual information

(2012) M. Papapetrou et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Quantifying causal coupling strength: A lag-specific measure for multivariate time series related to transfer entropy

(2012) Jakob Runge et al.   PHYSICAL REVIEW E

Extracting Dynamical Equations from Experimental Data is NP Hard

(2012) Toby S. Cubitt et al.   PHYSICAL REVIEW LETTERS

Escaping the Curse of Dimensionality in Estimating Multivariate Transfer Entropy

(2012) Jakob Runge et al.   PHYSICAL REVIEW LETTERS

K-nearest-neighbor conditional entropy approach for the assessment of the short-term complexity of cardiovascular control

(2012) A Porta et al.   PHYSIOLOGICAL MEASUREMENT

Momentary information transfer as a coupling measure of time series

(2011) Bernd Pompe et al.   PHYSICAL REVIEW E

How does a choice of Markov partition affect the resultant symbolic dynamics?

(2010) Hiroshi Teramoto et al.   CHAOS

Transfer entropy—a model-free measure of effective connectivity for the neurosciences

(2010) Raul Vicente et al.   JOURNAL OF COMPUTATIONAL NEUROSCIENCE

Evaluation of effective connectivity of motor areas during motor imagery and execution using conditional Granger causality

(2010) Qing Gao et al.   NEUROIMAGE

Nonuniform state-space reconstruction and coupling detection

(2010) Ioannis Vlachos et al.   PHYSICAL REVIEW E

Multivariate Granger causality and generalized variance

(2010) Adam B. Barrett et al.   PHYSICAL REVIEW E

Econometric Causality

(2008) James J. Heckman   INTERNATIONAL STATISTICAL REVIEW

Partial Granger causality—Eliminating exogenous inputs and latent variables

(2008) Shuixia Guo et al.   JOURNAL OF NEUROSCIENCE METHODS

Inferring the directionality of coupling with conditional mutual information

(2008) Martin Vejmelka et al.   PHYSICAL REVIEW E

Symbolic Transfer Entropy

(2008) Matthäus Staniek et al.   PHYSICAL REVIEW LETTERS