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Numerous Bayesian Network (BN) structure learning algorithms have been proposed in the literature over the past few decades. Each publication makes an empirical or theoretical case for the algorithm proposed in that publication and results…

Machine Learning · Computer Science 2020-09-14 Anthony C. Constantinou , Yang Liu , Kiattikun Chobtham , Zhigao Guo , Neville K. Kitson

In this paper, we empirically evaluate algorithms for learning four types of Bayesian network (BN) classifiers - Naive-Bayes, tree augmented Naive-Bayes, BN augmented Naive-Bayes and general BNs, where the latter two are learned using two…

Machine Learning · Computer Science 2013-01-30 Jie Cheng , Russell Greiner

Bayesian learning has emerged as a compelling and vital research direction in the field of structural dynamics, offering a probabilistic lens to understand and refine the analysis of complex dynamical systems. This review meticulously…

Data Analysis, Statistics and Probability · Physics 2025-06-03 Wang-Ji Yan , Lin-Feng Mei , Yuan-Wei Yin , Jiang Mo , Costas Papadimitriou , Ka-Veng Yuen , Michael Beer

We combine Bayesian networks (BNs) and structural reliability methods (SRMs) to create a new computational framework, termed enhanced Bayesian network (eBN), for reliability and risk analysis of engineering structures and infrastructure.…

Applications · Statistics 2012-03-28 Daniel Straub , Armen Der Kiureghian

Complex decision-making is a prominent aspect of Requirements Engineering. This work presents the Bayesian network Requisites that predicts whether the requirements specification documents have to be revised. We show how to validate…

Software Engineering · Computer Science 2024-01-24 J. del Sagrado , I. M. del Águila

Structure learning of Bayesian networks is an important problem that arises in numerous machine learning applications. In this work, we present a novel approach for learning the structure of Bayesian networks using the solution of an…

Machine Learning · Computer Science 2012-11-22 Tuhin Sahai , Stefan Klus , Michael Dellnitz

Deep neural networks (DNN) are versatile parametric models utilised successfully in a diverse number of tasks and domains. However, they have limitations---particularly from their lack of robustness and over-sensitivity to out of…

Machine Learning · Statistics 2020-01-01 John Mitros , Brian Mac Namee

A software library for constructing and learning probabilistic models is presented. The library offers a set of building blocks from which a large variety of static and dynamic models can be built. These include hierarchical models for…

Mathematical Software · Computer Science 2012-07-09 Markus Harva , Tapani Raiko , Antti Honkela , Harri Valpola , Juha Karhunen

The graph of a Bayesian Network (BN) can be machine learned, determined by causal knowledge, or a combination of both. In disciplines like bioinformatics, applying BN structure learning algorithms can reveal new insights that would…

Artificial Intelligence · Computer Science 2021-02-03 Anthony C. Constantinou , Norman Fenton , Martin Neil

We investigate the parameterized complexity of Bayesian Network Structure Learning (BNSL), a classical problem that has received significant attention in empirical but also purely theoretical studies. We follow up on previous works that…

Data Structures and Algorithms · Computer Science 2026-02-12 Robert Ganian , Viktoriia Korchemna

interpretable, and well understood models that are routinely employed even though, as is revealed through prior and posterior predictive checks, these can poorly characterise the spatial heterogeneity in the underlying process of interest.…

Machine Learning · Statistics 2024-04-08 Andrew Zammit-Mangion , Michael D. Kaminski , Ba-Hien Tran , Maurizio Filippone , Noel Cressie

There is an obvious need for improving the performance and accuracy of a Bayesian network as new data is observed. Because of errors in model construction and changes in the dynamics of the domains, we cannot afford to ignore the…

Artificial Intelligence · Computer Science 2013-02-08 Nir Friedman , Moises Goldszmidt

Bayesian network modelling is a well adapted approach to study messy and highly correlated datasets which are very common in, e.g., systems epidemiology. A popular approach to learn a Bayesian network from an observational datasets is to…

Machine Learning · Statistics 2018-08-06 Gilles Kratzer , Reinhard Furrer

Artificial neural networks (NNs) have become the de facto standard in machine learning. They allow learning highly nonlinear transformations in a plethora of applications. However, NNs usually only provide point estimates without…

Machine Learning · Statistics 2020-09-11 Marco F. Huber

The enhanced Bayesian network (eBN) methodology described in the companion paper facilitates the assessment of reliability and risk of engineering systems when information about the system evolves in time. We present the application of the…

Applications · Statistics 2012-03-28 Daniel Straub , Armen Der Kiureghian

Bayesian nonparametric models offer a flexible and powerful framework for statistical model selection, enabling the adaptation of model complexity to the intricacies of diverse datasets. This survey intends to delve into the significance of…

Machine Learning · Computer Science 2024-04-02 Bahman Moraffah

In recent years there has been a flurry of works on learning Bayesian networks from data. One of the hard problems in this area is how to effectively learn the structure of a belief network from incomplete data- that is, in the presence of…

Machine Learning · Computer Science 2013-02-01 Nir Friedman

The continuous-time Bayesian networks (CTBNs) represent a class of stochastic processes, which can be used to model complex phenomena, for instance, they can describe interactions occurring in living processes, in social science models or…

Machine Learning · Statistics 2020-06-16 Maryia Shpak , Błażej Miasojedow , Wojciech Rejchel

Continuous-time Bayesian Networks (CTBNs) represent a compact yet powerful framework for understanding multivariate time-series data. Given complete data, parameters and structure can be estimated efficiently in closed-form. However, if…

Machine Learning · Statistics 2019-11-04 Dominik Linzner , Michael Schmidt , Heinz Koeppl

It is well known in the literature that the problem of learning the structure of Bayesian networks is very hard to tackle: its computational complexity is super-exponential in the number of nodes in the worst case and polynomial in most…

Computation · Statistics 2017-04-14 Marco Scutari