Detecting High-Dimensional Causal Networks Using Randomly Conditioned Granger Causality

Detecting High-Dimensional Causal Networks Using Randomly Conditioned Granger Causality

Year:    2021

Author:    Huanfei Ma, Siyang Leng, Luonan Chen

CSIAM Transactions on Applied Mathematics, Vol. 2 (2021), Iss. 4 : pp. 680–696

Abstract

Reconstructing faithfully causal networks from observed time series data is fundamental to revealing the intrinsic nature of complex systems. With the increase of the network scale, indirect causal relations will arise due to causation transitivity but existing methods suffer from dimension curse in eliminating such indirect influences. In this paper, we propose a novel technique to overcome the difficulties by integrating the idea of randomly distributed embedding into conditional Granger causality. Validated by both benchmark and synthetic data sets, our method demonstrates potential applicability in reconstructing high-dimensional causal networks based only on a short-term time series.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/csiam-am.2020-0184

CSIAM Transactions on Applied Mathematics, Vol. 2 (2021), Iss. 4 : pp. 680–696

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Network reconstruction Granger causality conditional causality randomly distributed embedding.

Author Details

Huanfei Ma

Siyang Leng

Luonan Chen

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