How to avoid potential pitfalls in recurrence plot based data analysis

Abstract

Recurrence plots and recurrence quantification analysis have become popular in the last two decades. Recurrence based methods have on the one hand a deep foundation in the theory of dynamical systems and are on the other hand powerful tools for the investigation of a variety of problems. The increasing interest encompasses the growing risk of misuse and uncritical application of these methods. Therefore, we point out potential problems and pitfalls related to different aspects of the application of recurrence plots and recurrence quantification analysis.

References in corpus (8)

• Recurrence Plots for the Analysis of Complex Systems
• Complex Network Approach for Recurrence Analysis of Time Series
• Recurrence-based time series analysis by means of complex network methods
• Historical Review of Recurrence Plots
• Ambiguities in recurrence-based complex network representations of time series
• Line Structures in Recurrence Plots
• Identifying complex periodic windows in continuous-time dynamical systems using recurrence-based methods
• Phase synchronization in time-delay systems

Cited by in corpus (22)

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• Trends in recurrence analysis of dynamical systems
• Evaluation of selected recurrence measures in discriminating pre-ictal and inter-ictal periods from epileptic EEG data
• Analysing spatially extended high-dimensional dynamics by recurrence plots
• PyRQA -- Conducting Recurrence Quantification Analysis on Very Long Time Series Efficiently
• Nonlinear interactions between the Amazon River basin and the Tropical North Atlantic at interannual timescales
• Early warning signals for critical transitions in complex systems
• Detecting event-related recurrences by symbolic analysis: Applications to human language processing
• Recurrence Analysis of Vegetation Time Series and Phase Transitions in Mediterranean Rangelands
• Recurrence Analysis as a tool to study chaotic dynamics of extreme mass ratio inspiral in signal with noise
• Revealing recurrent regimes of mid-latitude atmospheric variability using novel machine learning method
• Optimal Estimation of Recurrence Structures from Time Series
• Averaged Recurrence Quantification Analysis -- Method omitting the recurrence threshold choice
• Regime change detection in irregularly sampled time series
• Recurrence flow measure of nonlinear dependence
• Optimising Parameters in Recurrence Quantification Analysis of Smart Energy Systems
• A bibliographic view on recurrence plots and recurrence quantification analyses
• Data-driven stability analysis in a multi-element supercritical Liquid Oxygen-methane combustor
• Combining Machine Learning with Recurrence Analysis for resonance detection