Foundations of causal discovery on groups of variables

Abstract: Discovering causal relationships from observational data is a challenging task that relies on assumptions connecting statistical quantities to graphical or algebraic causal models. In this work, we focus on widely employed assumptions for causal discovery when objects of interest are (multivariate) groups of random variables rather than individual (univariate) random variables, as is the case in a variety of problems in scientific domains such as climate science or neuroscience. If the group level causal models are derived from partitioning a micro-level model into groups, we explore the relationship between micro- and group level causal discovery assumptions. We investigate the conditions under which assumptions like causal faithfulness hold or fail to hold. Our analysis encompasses graphical causal models that contain cycles and bidirected edges. We also discuss grouped time series causal graphs and variants thereof as special cases of our general theoretical framework. Thereby, we aim to provide researchers with a solid theoretical foundation for the development and application of causal discovery methods for variable groups.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Foundations of causal discovery on groups of variables ; volume:12 ; number:1 ; year:2024 ; extent:32
Journal of causal inference ; 12, Heft 1 (2024) (gesamt 32)

Creator
Wahl, Jonas
Ninad, Urmi
Runge, Jakob

DOI
10.1515/jci-2023-0041
URN
urn:nbn:de:101:1-2407131546008.902651278697
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:54 AM CEST

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Associated

  • Wahl, Jonas
  • Ninad, Urmi
  • Runge, Jakob

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