Decomposition and Identification of Linear Structural Equation Models

Bryant Chen

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arXiv · 1508.01834

Decomposition and Identification of Linear Structural Equation Models

Bryant Chen

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Abstract

In this paper, we address the problem of identifying linear structural equation models. We first extend the edge set half-trek criterion to cover a broader class of models. We then show that any semi-Markovian linear model can be recursively decomposed into simpler sub-models, resulting in improved identification power. Finally, we show that, unlike the existing methods developed for linear models, the resulting method subsumes the identification algorithm of non-parametric models.

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Bryant Chen. 2015-08-07. Decomposition and Identification of Linear Structural Equation Models. https://arxiv.org/abs/1508.01834

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