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Authors: Dan Mønster ; Riccardo Fusaroli ; Kristian Tylén ; Andreas Roepstorff and Jacob F. Sherson

Affiliation: Aarhus University, Denmark

Keyword(s): Convergent Cross-Mapping, Causality, Logistic Map, Noise, Time Series Analysis.

Abstract: Convergent Cross-Mapping (CCM) has shown high potential to perform causal inference in the absence of models. We assess the strengths and weaknesses of the method by varying coupling strength and noise levels in coupled logistic maps. We find that CCM fails to infer accurate coupling strength and even causality direction in synchronized time-series and in the presence of intermediate coupling. We find that the presence of noise deterministically reduces the level of cross-mapping fidelity, while the convergence rate exhibits higher levels of robustness. Finally, we propose that controlled noise injections in intermediate-to-strongly coupled systems could enable more accurate causal inferences. Given the inherent noisy nature of real-world systems, our findings enable a more accurate evaluation of CCM applicability and advance suggestions on how to overcome its weaknesses.

CC BY-NC-ND 4.0

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Paper citation in several formats:
Mønster, D.; Fusaroli, R.; Tylén, K.; Roepstorff, A. and Sherson, J. (2016). Inferring Causality from Noisy Time Series Data - A Test of Convergent Cross-Mapping. In Proceedings of the 1st International Conference on Complex Information Systems - COMPLEXIS; ISBN 978-989-758-181-6; ISSN 2184-5034, SciTePress, pages 48-56. DOI: 10.5220/0005932600480056

@conference{complexis16,
author={Dan Mønster. and Riccardo Fusaroli. and Kristian Tylén. and Andreas Roepstorff. and Jacob F. Sherson.},
title={Inferring Causality from Noisy Time Series Data - A Test of Convergent Cross-Mapping},
booktitle={Proceedings of the 1st International Conference on Complex Information Systems - COMPLEXIS},
year={2016},
pages={48-56},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005932600480056},
isbn={978-989-758-181-6},
issn={2184-5034},
}

TY - CONF

JO - Proceedings of the 1st International Conference on Complex Information Systems - COMPLEXIS
TI - Inferring Causality from Noisy Time Series Data - A Test of Convergent Cross-Mapping
SN - 978-989-758-181-6
IS - 2184-5034
AU - Mønster, D.
AU - Fusaroli, R.
AU - Tylén, K.
AU - Roepstorff, A.
AU - Sherson, J.
PY - 2016
SP - 48
EP - 56
DO - 10.5220/0005932600480056
PB - SciTePress