Learning Markov equivalence classes of directed acyclic graphs: an objective Bayes approach

F Castelletti, G Consonni, ML Della Vedova, S Peluso - 2018 - projecteuclid.org
A Markov equivalence class contains all the Directed Acyclic Graphs (DAGs) encoding the
same conditional independencies, and is represented by a Completed Partially Directed …

A review of Gaussian Markov models for conditional independence

I Córdoba, C Bielza, P Larrañaga - Journal of Statistical Planning and …, 2020 - Elsevier
Markov models lie at the interface between statistical independence in a probability
distribution and graph separation properties. We review model selection and estimation in …

Block Domain Knowledge-Driven Learning of Chain Graphs Structure

S Yang, F Cao - Journal of Artificial Intelligence Research, 2024 - jair.org
As the interdependence between arbitrary objects in the real world grows, it becomes
gradually important to use chain graphs containing directed and undirected edges to learn …

[HTML][HTML] Chain graph interpretations and their relations revisited

D Sonntag, JM Pena - International Journal of Approximate Reasoning, 2015 - Elsevier
In this paper we study how different theoretical concepts of Bayesian networks have been
extended to chain graphs. Today there exist mainly three different interpretations of chain …

Learning optimal chain graphs with answer set programming

D Sonntag, M Järvisalo, JM Peña… - Proceedings of the Thirty …, 2015 - dl.acm.org
Learning an optimal chain graph from data is an important hard computational problem. We
present a new approach to solve this problem for various objective functions without making …

Equivalence class selection of categorical graphical models

F Castelletti, S Peluso - Computational Statistics & Data Analysis, 2021 - Elsevier
Learning the structure of dependence relations between variables is a pervasive issue in the
statistical literature. A directed acyclic graph (DAG) can represent a set of conditional …

Learning Causal Chain Graph Structure via Alternate Learning and Double Pruning

S Yang, F Cao, K Yu, J Liang - IEEE Transactions on Big Data, 2023 - ieeexplore.ieee.org
Causal chain graphs model the dependency structure between individuals when the
assumption of individual independence in causal inference is violated. However, causal …

Bayesian sample size determination for causal discovery

F Castelletti, G Consonni - Statistical Science, 2024 - projecteuclid.org
Graphical models based on Directed Acyclic Graphs (DAGs) are widely used to answer
causal questions across a variety of scientific and social disciplines. However, observational …

Chain graphs and gene networks

D Sonntag, JM Peña - Foundations of Biomedical Knowledge …, 2015 - Springer
Chain graphs are graphs with possibly directed and undirected edges, and no semidirected
cycle. They have been extensively studied as a formalism to represent probabilistic …

Détection de ruptures multiples dans des séries temporelles multivariées: application à l'inférence de réseaux de dépendance

F Harlé - 2016 - theses.hal.science
Cette thèse présente une méthode pour la détection hors-ligne de multiples ruptures dans
des séries temporelles multivariées, et propose d'en exploiter les résultats pour estimer les …