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Hauptverfasser: Du, Kang, Xiang, Yu
Format: Preprint
Veröffentlicht: 2024
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Online-Zugang:https://arxiv.org/abs/2405.06902
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author Du, Kang
Xiang, Yu
author_facet Du, Kang
Xiang, Yu
contents Causal inference from observational data following the restricted structural causal models (SCM) framework hinges largely on the asymmetry between cause and effect from the data generating mechanisms, such as non-Gaussianity or non-linearity. This methodology can be adapted to stationary time series, yet inferring causal relationships from nonstationary time series remains a challenging task. In this work, we propose a new class of restricted SCM, via a time-varying filter and stationary noise, and exploit the asymmetry from nonstationarity for causal identification in both bivariate and network settings. We propose efficient procedures by leveraging powerful estimates of the bivariate evolutionary spectra for slowly varying processes. Various synthetic and real datasets that involve high-order and non-smooth filters are evaluated to demonstrate the effectiveness of our proposed methodology.
format Preprint
id arxiv_https___arxiv_org_abs_2405_06902
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Causal Inference from Slowly Varying Nonstationary Processes
Du, Kang
Xiang, Yu
Machine Learning
Causal inference from observational data following the restricted structural causal models (SCM) framework hinges largely on the asymmetry between cause and effect from the data generating mechanisms, such as non-Gaussianity or non-linearity. This methodology can be adapted to stationary time series, yet inferring causal relationships from nonstationary time series remains a challenging task. In this work, we propose a new class of restricted SCM, via a time-varying filter and stationary noise, and exploit the asymmetry from nonstationarity for causal identification in both bivariate and network settings. We propose efficient procedures by leveraging powerful estimates of the bivariate evolutionary spectra for slowly varying processes. Various synthetic and real datasets that involve high-order and non-smooth filters are evaluated to demonstrate the effectiveness of our proposed methodology.
title Causal Inference from Slowly Varying Nonstationary Processes
topic Machine Learning
url https://arxiv.org/abs/2405.06902