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Staged trees are probabilistic graphical models capable of representing any class of non-symmetric independence via a coloring of its vertices. Several structural learning routines have been defined and implemented to learn staged trees…

Machine Learning · Statistics 2024-05-29 Jack Storror Carter , Manuele Leonelli , Eva Riccomagno , Gherardo Varando

Several structural learning algorithms for staged tree models, an asymmetric extension of Bayesian networks, have been defined. However, they do not scale efficiently as the number of variables considered increases. Here we introduce the…

Machine Learning · Statistics 2022-06-15 Manuele Leonelli , Gherardo Varando

Staged trees are a relatively recent class of probabilistic graphical models that extend Bayesian networks to formally and graphically account for non-symmetric patterns of dependence. Machine learning algorithms to learn them from data…

Applications · Statistics 2024-01-04 Manuele Leonelli , Gherardo Varando

A staged tree model is a discrete statistical model encoding relationships between events. These models are realised by directed trees with coloured vertices. In algebro-geometric terms, the model consists of points inside a toric variety.…

Commutative Algebra · Mathematics 2022-07-04 Christiane Görgen , Aida Maraj , Lisa Nicklasson

bnlearn is an R package which includes several algorithms for learning the structure of Bayesian networks with either discrete or continuous variables. Both constraint-based and score-based algorithms are implemented, and can use the…

Machine Learning · Statistics 2010-07-13 Marco Scutari

Bayesian networks faithfully represent the symmetric conditional independences existing between the components of a random vector. Staged trees are an extension of Bayesian networks for categorical random vectors whose graph represents…

Machine Learning · Statistics 2022-03-10 Manuele Leonelli , Gherardo Varando

Tree ensembles such as random forests and boosted trees are accurate but difficult to understand, debug and deploy. In this work, we provide the inTrees (interpretable trees) framework that extracts, measures, prunes and selects rules from…

Machine Learning · Computer Science 2014-08-26 Houtao Deng

Chain Event Graphs (CEGs) are a recent family of probabilistic graphical models - a generalisation of Bayesian Networks - providing an explicit representation of structural zeros, structural missing values and context-specific conditional…

Machine Learning · Statistics 2021-12-17 Aditi Shenvi , Jim Q. Smith

The increasing complexity of data requires methods and models that can effectively handle intricate structures, as simplifying them would result in loss of information. While several analytical tools have been developed to work with complex…

Methodology · Statistics 2023-06-16 Riccardo Giubilei , Tullia Padellini , Pierpaolo Brutti

This paper describes structuring data and constructing plots to explore forest classification models interactively. A forest classifier is an example of an ensemble, produced by bagging multiple trees. The process of bagging and combining…

Machine Learning · Statistics 2026-02-25 Natalia da Silva , Dianne Cook , Eun-Kyung Lee

In this paper we investigate the use of staged tree models for discrete longitudinal data. Staged trees are a type of probabilistic graphical model for finite sample space processes. They are a natural fit for longitudinal data because a…

Methodology · Statistics 2024-01-10 Jack Storror Carter , Manuele Leonelli , Eva Riccomagno , Alessandro Ugolini

Graphical models provide powerful tools to uncover complicated patterns in multivariate data and are commonly used in Bayesian statistics and machine learning. In this paper, we introduce the R package BDgraph which performs Bayesian…

Machine Learning · Statistics 2019-05-14 Reza Mohammadi , Ernst C. Wit

stCEG is an R package which allows a user to fully specify a Chain Event Graph (CEG) model from data and to produce interactive plots. It includes functions for the user to visualise spatial variables they wish to include in the model.…

Computation · Statistics 2025-07-10 Hollie Calley , Daniel Williamson

Several structure-learning algorithms for staged trees, asymmetric extensions of Bayesian networks, have been proposed. However, these either do not scale efficiently as the number of variables considered increases, a priori restrict the…

Methodology · Statistics 2022-11-15 Peter Strong , Jim Q. Smith

When examining the relationship between an exposure and an outcome, there is often a time lag between exposure and the observed effect on the outcome. A common statistical approach for estimating the relationship between the outcome and…

Methodology · Statistics 2025-04-28 Seongwon Im , Ander Wilson , Daniel Mork

The R package MixMashNet provides an integrated framework for estimating and analyzing single and multilayer networks using Mixed Graphical Models (MGMs), accommodating continuous, count, and categorical variables. In the multilayer…

The statistical analysis of structured spatial point process data where the event locations are determined by an underlying spatially embedded relational system has become a vivid field of research. Despite a growing literature on different…

Methodology · Statistics 2022-12-13 Pol Llagostera , Carles Comas , Matthias Eckardt

Machine learning models are increasingly used in the medical domain to study the association between risk factors and diseases to support practitioners in predicting health outcomes. In this paper, we showcase the use of machine-learned…

This paper develops an R package rMultiNet to analyze multilayer network data. We provide two general frameworks from recent literature, e.g. mixture multilayer stochastic block model(MMSBM) and mixture multilayer latent space model(MMLSM)…

Machine Learning · Statistics 2023-02-10 Ting Li , Zhongyuan Lyu , Chenyu Ren , Dong Xia

Staged trees are a recently-developed, powerful family of probabilistic graphical models. An equivalence class of staged trees has now been characterised, and two fundamental statistical operators have been defined to traverse the…

Methodology · Statistics 2023-01-18 Conor Hughes , Peter Strong , Aditi Shenvi
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