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Convergent Cross Mapping (CCM)×Granger-kausalitetstest×Transfer Entropy×
FagområdeKausal inferensØkonometriKausal inferens
FamilieMachine learningRegression modelMachine learning
Oprindelsesår201219692000
OphavspersonGeorge Sugihara et al.Clive W. J. GrangerThomas Schreiber
TypeNonlinear time-series causality testTime-series predictive causality testNon-parametric information-theoretic measure
Oprindelig kildeSugihara, G., et al. (2012). Detecting causality in complex ecosystems. Science, 338(6106), 496–500. DOI ↗Granger, C. W. J. (1969). Investigating Causal Relations by Econometric Models and Cross-spectral Methods. Econometrica, 37(3), 424-438. DOI ↗Schreiber, T. (2000). Measuring information transfer. Physical Review Letters, 85(2), 461–464. DOI ↗
AliasserCCM, Cross-Convergent Mapping, Empirical Dynamic Modelling Causality, Yakınsak Çapraz HaritalamaGranger causality test, Granger non-causality test, predictive causality test, Granger Nedensellik TestiSchreiber Information Transfer, Directed Information Flow, Conditional Mutual Information (directed), Transfer Entropisi
Relaterede353
ResuméConvergent Cross Mapping (CCM) is a nonlinear, state-space method for detecting causality between time-series variables embedded in a shared dynamical system. Introduced by George Sugihara and colleagues in their landmark 2012 Science paper, CCM exploits Takens' embedding theorem: if variable X causally influences Y, the historical record of Y contains enough information to recover the states of X. Causality is confirmed when cross-map skill improves—converges—as the time-series library grows longer.The Granger causality test, introduced by Clive W. J. Granger in 1969, assesses whether the past values of one time series help predict another beyond what the latter's own past already explains. It defines causality in a strictly predictive sense rather than as a structural or physical cause.Transfer Entropy (TE) is a non-parametric, information-theoretic measure of directed statistical dependence between two time series, introduced by Thomas Schreiber in 2000. Grounded in Shannon entropy, it quantifies how much information the past of one process Y reduces uncertainty about the next state of another process X, beyond what X's own past already provides. Unlike linear correlation or Granger causality, TE captures nonlinear interactions and requires no model assumptions about the underlying dynamics.
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ScholarGateSammenlign metoder: Convergent Cross Mapping · Granger Causality · Transfer Entropy. Hentet 2026-06-18 fra https://scholargate.app/da/compare