On sampling graphical Markov models

Megan Bernstein; Prasad Tetali

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arXiv · 1705.09717

On sampling graphical Markov models

Megan Bernstein·Prasad Tetali

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Abstract

We consider sampling and enumeration problems for Markov equivalence classes. We create and analyze a Markov chain for uniform random sampling on the DAGs inside a Markov equivalence class. Though the worst case is exponentially slow mixing, we find a condition on the Markov equivalence class for polynomial time mixing. We also investigate the ratio of Markov equivalence classes to DAGs and a Markov chain of He, Jia, and Yu for random sampling of sparse Markov equivalence classes.

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Megan Bernstein, Prasad Tetali. 2017-05-26. On sampling graphical Markov models. https://arxiv.org/abs/1705.09717

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