เปรียบเทียบวิธี

	การจับคู่ไขว้แบบลู่เข้า (Convergent Cross Mapping - CCM)	การวิเคราะห์ปริมาณการเกิดซ้ำ (Recurrence Quantification Analysis - RQA)
สาขาวิชา	การอนุมานเชิงสาเหตุ	ระบบเชิงซ้อน
ตระกูล	Machine learning	Machine learning
ปีกำเนิด	2012	2007
ผู้ริเริ่ม	George Sugihara et al.	Marwan, Romano, Thiel & Kurths
ประเภท	Nonlinear time-series causality test	Nonlinear time-series characterization
แหล่งต้นตำรับ	Sugihara, G., et al. (2012). Detecting causality in complex ecosystems. Science, 338(6106), 496–500.	Marwan, N., Romano, M. C., Thiel, M., & Kurths, J. (2007). Recurrence plots for the analysis of complex systems. Physics Reports, 438(5–6), 237–329.
ชื่อเรียกอื่น	CCM, Cross-Convergent Mapping, Empirical Dynamic Modelling Causality, Yakınsak Çapraz Haritalama	RQA, Recurrence Plot Analysis, Nonlinear Recurrence Analysis, Tekrarlama Kantifikasyon Analizi
ที่เกี่ยวข้อง	3	2
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.	Recurrence Quantification Analysis (RQA) is a nonlinear method for characterizing the dynamics of a time series by quantifying the small-scale structure of its recurrence plot. Introduced in its modern, comprehensive form by Marwan, Romano, Thiel, and Kurths in 2007, RQA extracts scalar measures — such as recurrence rate, determinism, laminarity, and Shannon entropy — that capture periodicity, chaos, stationarity, and transitions in complex dynamical systems.