Resource title

Learning Causal Relations in Multivariate Time Series Data

Resource image

image for OpenScout resource :: Learning Causal Relations in Multivariate Time Series Data

Resource description

Applying a probabilistic causal approach, we define a class of time series causal models (TSCM) based on stationary Bayesian networks. A TSCM can be seen as a structural VAR identified by the causal relations among the variables. We classify TSCMs into observationally equivalent classes by providing a necessary and sufficient condition for the observational equivalence. Applying an automated learning algorithm, we are able to consistently identify the data-generating causal structure up to the class of observational equivalence. In this way we can characterize the empirical testable causal orders among variables based on their observed time series data. It is shown that while an unconstrained VAR model does not imply any causal orders in the variables, a TSCM that contains some empirically testable causal orders implies a restricted SVAR model. We also discuss the relation between the probabilistic causal concept presented in TSCMs and the concept of Granger causality. It is demonstrated in an application example that this methodology can be used to construct structural equations with causal interpretations.

Resource author

Pu Chen, Hsiao Chihying

Resource publisher

Resource publish date

Resource language


Resource content type


Resource resource URL

Resource license

Adapt according to the presented license agreement and reference the original author.