Polynomial-Time Algorithms for Counting and Sampling Markov Equivalent DAGs

Marcel Wienöbst; Max Bannach; Maciej Liśkiewicz

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arXiv · 2012.09679

Polynomial-Time Algorithms for Counting and Sampling Markov Equivalent DAGs

Marcel Wienöbst·Max Bannach·Maciej Liśkiewicz

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Abstract

Counting and uniform sampling of directed acyclic graphs (DAGs) from a Markov equivalence class are fundamental tasks in graphical causal analysis. In this paper, we show that these tasks can be performed in polynomial time, solving a long-standing open problem in this area. Our algorithms are effective and easily implementable. Experimental results show that the algorithms significantly outperform state-of-the-art methods.

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Marcel Wienöbst, Max Bannach, Maciej Liśkiewicz. 2020-12-17. Polynomial-Time Algorithms for Counting and Sampling Markov Equivalent DAGs. https://arxiv.org/abs/2012.09679

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