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Proceeding Paper

Interpersonal Coordination Through Granger Causality Applied to AR Processes Modeling the Time Evolution of Low-Frequency Powers of RR Intervals †

by
Pierre Bouny
1,‡,
Eric Grivel
1,*,‡,
Roberto Diversi
2 and
Veronique Deschodt Arsac
1,‡
1
IMS laboratory CNRS UMR 5218, Bordeaux INP, 33400 Talence, France
2
Department of Electrical, Electronic, and Information Engineering “Guglielmo Marconi”, University of Bologna, 40126 Bologna, Italy
*
Author to whom correspondence should be addressed.
Presented at the 11th International Conference on Time Series and Forecasting, Canaria, Spain, 16–18 July 2025.
These authors contributed equally to this work.
Comput. Sci. Math. Forum 2025, 11(1), 30; https://doi.org/10.3390/cmsf2025011030
Published: 26 August 2025
(This article belongs to the Proceedings of The 11th International Conference on Time Series and Forecasting)

Abstract

In this paper, interpersonal coordination is studied by analyzing physiological synchronization between individuals. To this end, a four-phase protocol is proposed to collect biosignals from the participants in each dyad. Then, the time evolution of the low-frequency (LF) power of the heart rate variability process for each participant is deduced. Finally, an approach based on a bivariate autoregressive model and Granger causality is proposed to determine whether a dependency exists between the biosignals. The approach is first applied to synthetic data and then to real data. This method has the advantage of providing explicit modeling of the dependency, which can help physiologists achieve better interpretation.
Keywords: biosignal; Granger casality; heart rate variability; multivariate autoregressive model biosignal; Granger casality; heart rate variability; multivariate autoregressive model

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MDPI and ACS Style

Bouny, P.; Grivel, E.; Diversi, R.; Deschodt Arsac, V. Interpersonal Coordination Through Granger Causality Applied to AR Processes Modeling the Time Evolution of Low-Frequency Powers of RR Intervals. Comput. Sci. Math. Forum 2025, 11, 30. https://doi.org/10.3390/cmsf2025011030

AMA Style

Bouny P, Grivel E, Diversi R, Deschodt Arsac V. Interpersonal Coordination Through Granger Causality Applied to AR Processes Modeling the Time Evolution of Low-Frequency Powers of RR Intervals. Computer Sciences & Mathematics Forum. 2025; 11(1):30. https://doi.org/10.3390/cmsf2025011030

Chicago/Turabian Style

Bouny, Pierre, Eric Grivel, Roberto Diversi, and Veronique Deschodt Arsac. 2025. "Interpersonal Coordination Through Granger Causality Applied to AR Processes Modeling the Time Evolution of Low-Frequency Powers of RR Intervals" Computer Sciences & Mathematics Forum 11, no. 1: 30. https://doi.org/10.3390/cmsf2025011030

APA Style

Bouny, P., Grivel, E., Diversi, R., & Deschodt Arsac, V. (2025). Interpersonal Coordination Through Granger Causality Applied to AR Processes Modeling the Time Evolution of Low-Frequency Powers of RR Intervals. Computer Sciences & Mathematics Forum, 11(1), 30. https://doi.org/10.3390/cmsf2025011030

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