Multidimensional recurrence quantification analysis (MdRQA) for the analysis of multidimensional time-series: A software implementation in MATLAB and its application to group-level data in joint action

Frontiers in Psychology

Volumn 7, Issue NOV, 2016, Pages

  Wallot, Sebastian ^a   Roepstorff, Andreas ^b   Mønster, Dan ^b  

^a MAX PLANCK INSTITUTE FOR EMPIRICAL AESTHETICS   (Germany)

^b AARHUS UNIVERSITY   (Denmark)

Author keywords

Correlation; Dynamics; Joint action; MATLAB; MdRQA; Multidimensional Recurrence Quantification Analysis; Multidimensional time series

Indexed keywords

EID: 85006421099     PISSN: None     EISSN: 16641078     Source Type: Journal    
DOI: 10.3389/fpsyg.2016.01835     Document Type: Article

References (37)

1. Clark, G. W., Ackerman, S. H., Tillier, E. R., and Gatti, D. L. (2014). Multidimensional mutual information methods for the analysis of covariation in multiple sequence alignments. BMC Bioinformat. 15:157. doi: 10.1186/1471-2105-15-157.
2. Coco, M. I., and Dale, R. (2014). Cross-recurrence quantification analysis of categorical and continuous time series: an R package. Front. Quant. Psychol. Measure. 5:510. doi: 10.3389/fpsyg.2014.00510.
3. Dumas, G., Nadel, J., Soussignan, R., Martinerie, J., and Garnero, L. (2010). Inter-brain synchronization during social interaction. PLoS ONE 5:e12166. doi: 10.1371/journal.pone.0012166.
4. Eckmann, J.-P., Kamphorst, S. O., and Ruelle, D. (1987). Recurrence plots of dynamical systems. Europhys. Lett. 4, 973-977. doi: 10.1209/0295-5075/4/9/004.
5. Fusaroli, R., Konvalinka, I., and Wallot, S. (2014). Analyzing social interactions: the promises and challenges of using Cross Recurrence Quantification Analysis," in Translational Recurrence. Springer Proceedings in Mathematics, Vol. 103, eds N. Marwan, M. Riley, A. Giuliani, and C. L. Jr. Webber (London: Springer), 137-155.
6. Fusaroli, R., and Tylén, K. (2016). Investigating conversational dynamics: interactive alignment, Interpersonal synergy, and collective task performance. Cogn. Sci. 40, 145-171. doi: 10.1111/cogs.12251.
7. Håkonsson, D. D., Eskildsen, J. K., Argote, L., Mønster, D., Burton, R. M., and Obel, B. (2015). Exploration versus exploitation: emotions and performance as antecedents and consequences of team decisions. Strateg. Manag. J. 37, 985-1001. doi: 10.1002/smj.2380.
8. Iwanski, J. S., and Bradley, E. (1998). Recurrence plots of experimental data: to embed or not to embed? Chaos 8, 861-871. doi: 10.1063/1.166372.
9. Junejo, I. N., Dexter, E., Laptev, I., and Pérez, P. (2008). "Cross-view action recognition from temporal self-similarities," in European Conference on Computer Vision (Springer: Heidelberg), 293-306.
10. Kennel, M. B., Brown, R., and Abarbanel, H. D. (1992). Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys. Rev A 45, 3403-3411. doi: 10.1103/PhysRevA.45.3403.
11. Knoblich, G., Butterfill, S., and Sebanz, N. (2011). "Psychological research on joint action: theory and data," in Psychology of Learning and Motivation, Vol. 54, ed B. Ross (Burlington, MA: Academic Press), 59-101.
12. Konvalinka, I., Vuust, P., Roepstorff, A., and Frith, C. D. (2010). Follow you, follow me: continuous mutual prediction and adaptation in joint tapping. Q. J. Exp. Psychol. 63, 2220-2230. doi: 10.1080/17470218.2010.497843.
13. Konvalinka, I., Xygalatas, D., Bulbulia, J., Schjødt, U., Jegindø, E. M., Wallot, S., et al. (2011). Synchronized arousal between performers and related spectators in a fire-walking ritual. Proc. Natl. Acad. Sci. U.S.A. 108, 8514-8519. doi: 10.1073/pnas.1016955108.
14. Lang, M., Shaw, D. J., Reddish, P., Wallot, S., Mitkidis, P., and Xygalatas, D. (2016). Lost in the rhythm: the effects of rhythm on subsequent interpersonal co-ordination. Cogn. Sci. 40, 1797-1815. doi: 10.1111/cogs.12302.
15. Lorenz, E. N. (1963). Deterministic nonperiodic flow. J. Atmosph. Sci. 20, 130-141.
16. Louwerse, M. M., Dale, R., Bard, E. G., and Jeuniaux, P. (2012). Behavior matching in multimodal communication is synchronized. Cogn. Sci. 36, 1404-1426. doi: 10.1111/j.1551-6709.2012.01269.x.
17. March, T. K., Chapman, S. C., and Dendy, R. O. (2005). Recurrence plot statistics and the effect of embedding. Phys. D 200, 171-184. doi: 10.1016/j.physd.2004.11.002.
18. Marsh, K. L., Richardson, M. J., and Schmidt, R. C. (2009). Social connection through joint action and interpersonal coordination. Top. Cogn. Sci. 1, 320-339. doi: 10.1111/j.1756-8765.2009.01022.x.
19. Marwan, N., and Kurths, J. (2002). Nonlinear analysis of bivariate data with cross recurrence plots. Phys. Lett. A 302, 299-307. doi: 10.1016/S0375-9601(02)01170-2.
20. Marwan, N., Romano, M. C., Thiel, M., and Kurths, J. (2007). Recurrence plots for the analysis of complex systems. Phys. Rep. 438, 237-329. doi: 10.1016/j.physrep.2006.11.001.
21. Marwan, N., Wessel, N., Meyerfeldt, U., Schirdewan, A., and Kurths, J. (2002). Recurrence-plot-based measures of complexity and their application to heart-rate-variability data. Phys. Rev. E 66:026702. doi: 10.1103/PhysRevE.66.026702.
22. Mitkidis, P., McGraw, J. J., Roepstorff, A., and Wallot, S. (2015). Building trust: heart rate synchrony and arousal during joint action increased by public goods game. Physiol. Behav. 149, 101-106. doi: 10.1016/j.physbeh.2015.05.033.
23. Mønster, D., Fusaroli, R., Tylén, K., Roepstorff, A., and Sherson, J. (2016b). "Inferring causality from noisy time series data," in Proceedings of the 1st International Conference on Complex Information Systems (Rome: SciTePress), 48-56.
24. Mønster, D., Håkonsson, D. D., Eskildsen, J. K., and Wallot, S. (2016a). Physiological evidence of interpersonal dynamics in a cooperative production task. Physiol. Behav. 156, 24-34, doi: 10.1016/j.physbeh.2016.01.004.
25. Müller, V., and Lindenberger, U. (2011). Cardiac and respiratory patterns synchronize between persons during choir singing. PLoS ONE 6:e24893. doi: 10.1371/journal.pone.0024893.
26. Richardson, D. C., and Dale, R. (2005). Looking to understand: the coupling between speakers' and listeners' eye movements and its relationship to discourse comprehension. Cogn. Sci. 29, 1045-1060. doi: 10.1207/s15516709cog0000_29.
27. Richardson, D. C., Dale, R., and Kirkham, N. Z. (2007). The art of conversation is coordination common ground and the coupling of eye movements during dialogue. Psychol. Sci. 18, 407-413. doi: 10.1111/j.1467-9280.2007.01914.x.
28. Richardson, M. J., Marsh, K. L., Isenhower, R. W., Goodman, J. R., and Schmidt, R. C. (2007). Rocking together: dynamics of intentional and unintentional interpersonal coordination. Hum. Mov. Sci. 26, 867-891. doi: 10.1016/j.humov.2007.07.002.
29. Riley, M. A., Richardson, M. J., Shockley, K., and Ramenzoni, V. C. (2011). Interpersonal synergies. Front. Psychol. 2:38. doi: 10.3389/fpsyg.2011.00038.
30. Romano, M. C., Thiel, M., Kurths, J., and von Bloh, W. (2004). Multivariate recurrence plots. Phys. Lett. A 330, 214-223. doi: 10.1016/j.physleta.2004.07.066.
31. Shockley, K., Santana, M. V., and Fowler, C. A. (2003). Mutual interpersonal postural constraints are involved in cooperative conversation. J. Exp. Psychol. Hum. Percept. Perform. 29, 326-332. doi: 10.1037/0096-1523.29.2.326.
32. Sugihara, G., May, R., Ye, H., Hsieh, C. H., Deyle, E., Fogarty, M., et al. (2012). Detecting causality in complex ecosystems. Science 338, 496-500. doi: 10.1126/science.1227079.
33. Takens, F. (1981). "Detecting strange attractors in turbulence," in Dynamical Systems and Turbulence (Heidelberg: Springer), 366-381.
34. Thomasson, N., Webber, C. L. Jr., and Zbilut, J. P. (2002). Application of recurrence quantification analysis to EEG signals. Int. J. Comput. Applicat. 9, 1-6.
35. Wallot, S., Mitkidis, P., McGraw, J. J., and Roepstorff, A. (2016). Beyond synchrony: joint action in a complex production task reveals beneficial effects of decreased interpersonal synchrony. PLoS ONE.
36. Webber, C. L., and Zbilut, J. P. (1994). Dynamical assessment of physiological systems and states using recurrence plot strategies. J. Appl. Physiol. 76, 965-973.
37. Webber, C., and Zbilut, J. (2005). "Recurrence quantification analysis of nonlinear dynamical systems," in Tutorials in Contemporary Nonlinear Methods for the Behavioral Sciences, eds M. A. Riley and G. C. Van Orden, 26-94. Available online at: http://www.nsf.gov/sbe/bcs/pac/nmbs/chap2.pdf.