Graphical Representations for Algebraic Constraints of Linear Structural Equations Models

• URL: http://arxiv.org/abs/2208.00926v1
• Date: Mon, 1 Aug 2022 15:15:17 GMT
• Title: Graphical Representations for Algebraic Constraints of Linear Structural Equations Models
• Authors: Thijs van Ommen and Mathias Drton
• Abstract summary: We present a notation for many graphical constraints of a linear structural equation model. The expressive power of this notation is investigated both theoretically and empirically.
• Score: 3.4012007729454816
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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