เปรียบเทียบวิธี

	การจับคู่ไขว้แบบลู่เข้า (Convergent Cross Mapping - CCM)	เอนโทรปีการถ่ายทอด
สาขาวิชา	การอนุมานเชิงสาเหตุ	การอนุมานเชิงสาเหตุ
ตระกูล	Machine learning	Machine learning
ปีกำเนิด	2012	2000
ผู้ริเริ่ม	George Sugihara et al.	Thomas Schreiber
ประเภท	Nonlinear time-series causality test	Non-parametric information-theoretic measure
แหล่งต้นตำรับ	Sugihara, G., et al. (2012). Detecting causality in complex ecosystems. Science, 338(6106), 496–500.	Schreiber, T. (2000). Measuring information transfer. Physical Review Letters, 85(2), 461–464.
ชื่อเรียกอื่น	CCM, Cross-Convergent Mapping, Empirical Dynamic Modelling Causality, Yakınsak Çapraz Haritalama	Schreiber Information Transfer, Directed Information Flow, Conditional Mutual Information (directed), Transfer Entropisi
ที่เกี่ยวข้อง	3	3
สรุป	Convergent 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.	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.