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Detecting coupling directions with transcript mutual information: A comparative study

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Causal relationships are important to understand the dynamics of coupled processes and, moreover, to influence or control the effects by acting on the causes. Among the different approaches to determine cause-effect relationships and, in particular, coupling directions in interacting random or deterministic processes, we focus in this paper on information-theoretic measures. So, we study in the theoretical part the difference between directionality indicators based on transfer entropy as well as on its dimensional reduction via transcripts in algebraic time series representations. In the applications we consider specifically the lowest dimensional case, i.e., 3-dimensional transfer entropy, which is currently one of the most popular causality indicators, and the (2-dimensional) mutual information of transcripts. Needless to say, the lower dimensionality of the transcript-based indicator can make a difference in practice, where datasets are usually small. To compare numerically the performance of both directionality indicators, synthetic data (obtained with random processes) and real world data (in the form of biomedical recordings) are used. As happened in previous related work, we found again that the transcript mutual information performs as good as, and in some cases even better than, the lowest dimensional binned and symbolic transfer entropy, the symbols being ordinal patterns.

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Kategoria:
Publikacja w czasopiśmie
Typ:
artykuły w czasopismach
Opublikowano w:
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B nr 24, strony 4079 - 4097,
ISSN: 1531-3492
Język:
angielski
Rok wydania:
2019
Opis bibliograficzny:
Amigó J., Graff B., Graff G., Monetti R., Tessmer K.: Detecting coupling directions with transcript mutual information: A comparative study// DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B -Vol. 24,iss. 8 (2019), s.4079-4097
DOI:
Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.3934/dcdsb.2019051
Źródła finansowania:
Weryfikacja:
Politechnika Gdańska

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