# Unidimensional and Multidimensional Methods for Recurrence Quantification Analysis with crqa

Source: [Unidimensional and Multidimensional Methods for Recurrence Quantification Analysis with crqa](<https://www.sota2.com/research/paper/68fa43d61e209131ce90cf0a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T04:31:48.969Z

Authors: Moreno I. Coco, Dan M{\\o}nster, Giuseppe Leonardi, Rick Dale, Sebastian Wallot

Published: 2020-05-28T14:15:39.000Z

## 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 to 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 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2006.01954>)

[PDF](<https://arxiv.org/pdf/2006.01954.pdf>)
