1 code implementation • 9 Oct 2023 • Moritz Schauer, Marcel Wienöbst
In the context of inferring a Bayesian network structure (directed acyclic graph, DAG for short), we devise a non-reversible continuous time Markov chain, the "Causal Zig-Zag sampler", that targets a probability distribution over classes of observationally equivalent (Markov equivalent) DAGs.
1 code implementation • 28 Feb 2023 • Malte Luttermann, Marcel Wienöbst, Maciej Liśkiewicz
In observational studies, the true causal model is typically unknown and needs to be estimated from available observational and limited experimental data.
1 code implementation • 28 Jan 2023 • Marcel Wienöbst, Malte Luttermann, Max Bannach, Maciej Liśkiewicz
Enumerating the directed acyclic graphs (DAGs) of a Markov equivalence class (MEC) is an important primitive in causal analysis.
1 code implementation • 29 Nov 2022 • Marcel Wienöbst, Benito van der Zander, Maciej Liśkiewicz
In 2022, Jeong, Tian, and Bareinboim presented the first polynomial-time algorithm for finding sets satisfying the front-door criterion in a given directed acyclic graph (DAG), with an $O(n^3(n+m))$ run time, where $n$ denotes the number of variables and $m$ the number of edges of the causal graph.
2 code implementations • 5 May 2022 • Marcel Wienöbst, Max Bannach, Maciej Liśkiewicz
Counting and sampling directed acyclic graphs from a Markov equivalence class are fundamental tasks in graphical causal analysis.
no code implementations • 3 Mar 2022 • Benito van der Zander, Marcel Wienöbst, Markus Bläser, Maciej Liśkiewicz
We investigate models, whose directed component forms a tree, and show that there, besides classical instrumental variables, missing cycles of bidirected edges can be used to identify the model.
1 code implementation • 17 Dec 2020 • Marcel Wienöbst, Max Bannach, Maciej Liśkiewicz
Counting and uniform sampling of directed acyclic graphs (DAGs) from a Markov equivalence class are fundamental tasks in graphical causal analysis.
no code implementations • 6 Oct 2020 • Marcel Wienöbst, Maciej Liśkiewicz
In this paper, we propose an algorithm which, for a given set of conditional independencies of order less or equal to $k$, where $k$ is a small fixed number, computes a faithful graphical representation of the given set.