Graphical Representations for Algebraic Constraints of Linear Structural Equations Models
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Publication date
2022-09-19
Authors
van Ommen, Thijs
Drton, Mathias
Editors
Salmerón, Antonio
Rumı́, Rafael
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Part of book
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Abstract
The observational characteristics of a linear structural equation model can be effectively described by polynomial constraints on the observed covariance matrix. However, these polynomials can be exponentially large, making them impractical for many purposes. In this paper, we present a graphical notation for many of these polynomial constraints. The expressive power of this notation is investigated both theoretically and empirically.
Keywords
structural equation model, mixed graph, multivariate Gaussian, algebraic constraint
Citation
van Ommen, T & Drton, M 2022, Graphical Representations for Algebraic Constraints of Linear Structural Equations Models. in A Salmerón & R Rumı́ (eds), Proceedings of The 11th International Conference on Probabilistic Graphical Models. vol. 186, PMLR, pp. 409-420. < https://proceedings.mlr.press/v186/ommen22a >