Causal structure learning: A combinatorial perspective

C Squires, C Uhler - Foundations of Computational Mathematics, 2023 - Springer
In this review, we discuss approaches for learning causal structure from data, also called
causal discovery. In particular, we focus on approaches for learning directed acyclic graphs …

Designing accountable systems

S Kacianka, A Pretschner - Proceedings of the 2021 ACM conference on …, 2021 - dl.acm.org
Accountability is an often called for property of technical systems. It is a requirement for
algorithmic decision systems, autonomous cyber-physical systems, and for software systems …

Bayesian learning of multiple directed networks from observational data

F Castelletti, L La Rocca, S Peluso… - Statistics in …, 2020 - Wiley Online Library
Graphical modeling represents an established methodology for identifying complex
dependencies in biological networks, as exemplified in the study of co‐expression, gene …

Counting and sampling Markov equivalent directed acyclic graphs

T Talvitie, M Koivisto - Proceedings of the AAAI Conference on Artificial …, 2019 - ojs.aaai.org
Exploring directed acyclic graphs (DAGs) in a Markov equivalence class is pivotal to infer
causal effects or to discover the causal DAG via appropriate interventional data. We …

A Fixed-Parameter Tractable Algorithm for Counting Markov Equivalence Classes with the Same Skeleton

VS Sharma - Proceedings of the AAAI Conference on Artificial …, 2024 - ojs.aaai.org
Causal DAGs (also known as Bayesian networks) are a popular tool for encoding
conditional dependencies between random variables. In a causal DAG, the random …

Markov equivalence of max-linear Bayesian networks

C Améndola, B Hollering… - Uncertainty in Artificial …, 2021 - proceedings.mlr.press
Max-linear Bayesian networks have emerged as highly applicable models for causal
inference from extreme value data. However, conditional independence (CI) for max-linear …

An efficient algorithm for counting Markov equivalent DAGs

R Ganian, T Hamm, T Talvitie - Artificial Intelligence, 2022 - Elsevier
We consider the problem of counting the number of DAGs which are Markov equivalent, ie,
which encode the same conditional independencies between random variables. The …

[HTML][HTML] Counting Markov equivalence classes for DAG models on trees

A Radhakrishnan, L Solus, C Uhler - Discrete Applied Mathematics, 2018 - Elsevier
DAG models are statistical models satisfying a collection of conditional independence
relations encoded by the nonedges of a directed acyclic graph (DAG) G. Such models are …

Recovering causal structures from low-order conditional independencies

M Wienöbst, M Liskiewicz - Proceedings of the AAAI Conference on …, 2020 - ojs.aaai.org
One of the common obstacles for learning causal models from data is that high-order
conditional independence (CI) relationships between random variables are difficult to …

Size of interventional Markov equivalence classes in random DAG models

D Katz, K Shanmugam, C Squires… - The 22nd International …, 2019 - proceedings.mlr.press
Directed acyclic graph (DAG) models are popular for capturing causal relationships. From
observational and interventional data, a DAG model can only be determined up to its\emph …