Unidimensional and Multidimensional Methods for Recurrence Quantification Analysis with crqa

Authors

• Moreno I. Coco, University of East London
• Dan Mønster, Aarhus University
• Giuseppe Leonardi, University of Economics and Human Sciences in Warsaw
• Rick Dale, University of California, Los Angeles
• Sebastian Wallot, Max Planck Institute for Empirical Aesthetics

Date of this Version

6-2021

Document Type

Article

Citation

The R Journal (June 2021) 13(1); Editor: Dianne Cook

Comments

Copyright 2021, The R Foundation. Open access material. License: CC BY 4.0 International

Abstract

Recurrence quantification analysis is a widely used method for characterizing patterns in time series. This article presents a comprehensive survey for conducting a wide range of recurrence-based analyses to quantify the dynamical structure of single and multivariate time series and capture coupling properties underlying leader-follower relationships. The basics of recurrence quantification analysis (RQA) and all its variants are formally introduced step-by-step from the simplest auto-recurrence to the most advanced multivariate case. Importantly, we show how such RQA methods can be deployed under a single computational framework in R using a substantially renewed version of our crqa 2.0 package. This package includes implementations of several recent advances in recurrence-based analysis, among them applications to multivariate data and improved entropy calculations for categorical data. We show concrete applications of our package to example data, together with a detailed description of its functions and some guidelines on their usage.