Ancestor regression in structural vector autoregressive models

Fuente: arXiv
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Main Authors: Schultheiss, Christoph, Ulmer, Markus, Bühlmann, Peter
Format: Preprint
Published: 2024
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author Schultheiss, Christoph
Ulmer, Markus
Bühlmann, Peter
author_facet Schultheiss, Christoph
Ulmer, Markus
Bühlmann, Peter
contents We present a new method for causal discovery in linear structural vector autoregressive models. We adapt an idea designed for independent observations to the case of time series while retaining its favorable properties, i.e., explicit error control for false causal discovery, at least asymptotically. We apply our method to several real-world bivariate time series datasets and discuss its findings which mostly agree with common understanding. The arrow of time in a model can be interpreted as background knowledge on possible causal mechanisms. Hence, our ideas could be extended to incorporating different background knowledge, even for independent observations.
format Preprint
id arxiv_https___arxiv_org_abs_2403_03778
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Ancestor regression in structural vector autoregressive models
Schultheiss, Christoph
Ulmer, Markus
Bühlmann, Peter
Methodology
We present a new method for causal discovery in linear structural vector autoregressive models. We adapt an idea designed for independent observations to the case of time series while retaining its favorable properties, i.e., explicit error control for false causal discovery, at least asymptotically. We apply our method to several real-world bivariate time series datasets and discuss its findings which mostly agree with common understanding. The arrow of time in a model can be interpreted as background knowledge on possible causal mechanisms. Hence, our ideas could be extended to incorporating different background knowledge, even for independent observations.
title Ancestor regression in structural vector autoregressive models
topic Methodology
url https://arxiv.org/abs/2403.03778