# Graphical Representations for Algebraic Constraints of Linear Structural Equations Models

arXiv: https://arxiv.org/abs/2208.00926 · HTML: https://mlsanity.com/paper/2208.00926/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- Builds on 1 of its 14 references that are in the map.
- First posted on arXiv 1 Aug 2022.

## Builds on (most cited first, 1 of 1)

- [Algebraic Equivalence of Linear Structural Equation Models](https://mlsanity.com/paper/1807.03527/) (2018)

## Built on by (most cited first, 1 of 1)

- [Efficiently Deciding Algebraic Equivalence of Bow-Free Acyclic Path Diagrams](https://mlsanity.com/paper/2406.09049/) (2024)

## Abstract (arXiv)

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.