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Bayesian Networks

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lightbulbAbout this topic
Bayesian Networks are probabilistic graphical models that represent a set of variables and their conditional dependencies via a directed acyclic graph. They utilize Bayes' theorem to update the probability of a hypothesis as more evidence becomes available, facilitating reasoning under uncertainty in various domains such as statistics, machine learning, and artificial intelligence.
lightbulbAbout this topic
Bayesian Networks are probabilistic graphical models that represent a set of variables and their conditional dependencies via a directed acyclic graph. They utilize Bayes' theorem to update the probability of a hypothesis as more evidence becomes available, facilitating reasoning under uncertainty in various domains such as statistics, machine learning, and artificial intelligence.

Key research themes

1. How can Bayesian methods effectively learn the structure and parameters of Bayesian networks from data under various constraints?

This research theme focuses on developing and quantitatively assessing Bayesian and Bayesian-inspired algorithms and scoring functions for learning both the structure (graph topology) and parameters of Bayesian networks from data. It addresses challenges such as scalability to large and noisy datasets, incorporating domain knowledge, handling correlated and incomplete data, and maintaining model parsimony. Methods reviewed integrate principled Bayesian scoring, efficient heuristic search, and hybrid approaches to optimize network fit while controlling overfitting and statistical errors.

Key finding: This paper introduces a fully Bayesian scoring method for learning Bayesian networks whose local conditional probability distributions are represented by decision graphs—a generalization of decision trees enabling arbitrary... Read more
Key finding: This study presents a comprehensive benchmarking of popular score-based and constraint-based structure learning algorithms for Bayesian networks across simulated discrete and continuous data with varying noise levels. It... Read more
Key finding: To address the prohibitive cost of searching over all parental sets in large-scale Bayesian network structure learning, this paper proposes the 'Sparse Candidate' algorithm which restricts the candidate parent sets for each... Read more
Key finding: This work extends Bayesian network structure and parameter learning methods to the case of correlated observational data, such as those arising from family-based or longitudinal studies with clustered or repeated... Read more

2. What advances facilitate the inference and representation of dependencies in complex Bayesian networks with hybrid and local structures?

This theme encompasses methodological developments in representing and performing probabilistic inference in complex Bayesian networks that combine discrete and continuous variables (hybrid networks) or that leverage localized compact structures (e.g., decision graphs). It covers algorithmic strategies to maintain computational tractability and exact or approximate inference within such expressive models, with extensions to dynamic settings and multi-scale domains. The research reflects efforts to broaden Bayesian networks’ applicability in practical and high-dimensional problems by improving model expressiveness and inference efficiency.

Key finding: This comprehensive review categorizes and synthesizes inference methods developed for hybrid Bayesian networks containing both discrete and continuous variables. The paper discusses exact inference methods (such as junction... Read more
Key finding: This paper introduces hybrid semiparametric Bayesian networks that integrate parametric models, specifically conditional linear Gaussian relationships, with nonparametric estimation models, allowing modeling of nonlinear and... Read more
Key finding: The use of decision graphs as a generalization of decision trees to model local CPD structure in Bayesian networks not only increases expressivity but also reduces the dimensionality of parameter space. The paper details that... Read more
Key finding: The authors propose an algorithm for learning dynamic Bayesian networks representing factored Markov Decision Processes (MDPs) by actively selecting actions to accelerate the data collection process necessary for structure... Read more

3. How are Bayesian networks applied for practical decision support in biomedical and medical domains?

This theme investigates the application of Bayesian networks as interpretable, probabilistic decision-support tools in clinical and biomedical contexts. It covers their use to model disease diagnosis, prognosis, treatment outcomes, and complex physiological interactions, often integrating heterogeneous datasets. These studies emphasize the capacity of Bayesian models to handle uncertainty, partial data, and causal inference, thereby enhancing medical decision-making for conditions such as breast cancer, dementia, COVID-19 pneumonia, and acute coronary syndromes.

Key finding: The paper develops a Bayesian belief network framework for breast cancer detection supportive of early diagnosis, linking radiological features (e.g., mass shape, calcifications, architectural distortion) to malignancy... Read more
Key finding: This study integrates ordinary and dynamic Bayesian networks combined with autoML frameworks to model clinical trajectories and predict outcomes for COVID-19 pneumonia patients. It predicts treatment results, length of stay,... Read more
Key finding: This research reports the development of two Bayesian belief network systems, DemNet and PathNet, designed to probabilistically support clinical diagnosis of dementia presence and underlying pathologies respectively.... Read more
Key finding: By applying data mining techniques to create Bayesian networks from triage data of emergency room patients presenting with chest pain, this study compares expert-constructed and data-mined networks for forecasting 30-day... Read more

All papers in Bayesian Networks

En el enfoque bayesiano de la teoría de la probabilidad, una probabilidad cuantifica un grado de creencia asociado a un único ensayo o evento individual, sin ninguna conexión a priori con frecuencias límite obtenidas mediante la... more
This dissertation responds to the need for integration between researchers and decision-makers who are dealing with complex social-ecological system sustainability and decision-making challenges. To this end, we propose a new approach,... more
Socioeconomic and ecological systems exhibit complex, interdependent behaviour which is often difficult to model and understand. This is due to the complex reorganisation of key sub-system processes involving nonlinear, cross-scale and... more
We exploit the use of a controller area network (CAN-bus) to monitor sensors on the buses of local public transportation in a big European city. The aim is to advise fleet managers and policymakers on how to reduce fuel consumption so... more
Este trabalho apresenta o processo de construção de um modelo de inferência de emoções que um aluno sente em relação a outros alunos durante interação síncrona em um contexto de jogo colaborativo de aprendizagem. A inferência de emoções... more
Güncellenmiş 3. baskısını yapan kitap, uzun yıllar üniversitelerde "Benzetim ve modelleme", "Sistem benzetimi" ve "Simülasyon" derslerini anlatan yazarın notlarından, ders anlatımı esnasında öğrencilerinden gelen soru ve cevaplardan,... more
The present era of large-scale foundation models is defined by a philosophical and practical tension: the successful, scalable application of frequentist Maximum Likelihood Estimation (MLE) and Maximum A Posteriori (MAP) optimization,... more
The dominant paradigm in artificial intelligence rests on an implicit meta-layer assumption: that the world is best modelled by learning joint probability distributions over observed variables. We argue this assumption is ontologically... more
Behavior of humpback whales was observed during the reproductive period off the northern coast of the state of Bahia (NB, n = 378 groups) and at the Abrolhos Bank (AB, n = 919) to compare patterns and group composition between the two... more
Unlike conventional neural networks trained via gradient descent on static datasets, this architecture implements online predictive coding with no separation between training and inference. All learning occurs via local Hebbian and STDP... more
The global development policy has taken a significant issue in sustainable consumption, with a particular focus on the United Nations Sustainable Development Goals (SDGs). SDG 12: Responsible Consumption and Production focuses on... more
L'accident de Fukushima a provoque une prise de conscience sans precedent concernant l'importance des risques naturels a l'echelle internationale. En mettant en cause plusieurs aspects institutionnels, et notamment les liens... more
Groundwater is the only source of fresh water in the Gaza Strip. However, it is severely polluted and requires immediate effort to improve its quality and increase its usable quantity. Intensive exploitation of groundwater in the Gaza... more
The vector ε algorithm, The EM algorithm, The Louis’s EM algorithm, Acceleration of convergence,
This paper conducts a comparative analysis of portfolio optimization methods, focusing on Bayesian approaches, applied to U.S. AI-related stocks (2020-2025). While the classical Markowitz model relies on fixed estimates of return and... more
This thesis presents a comprehensive mathematical framework for determining the probability that we are living in a computer simulation. Building upon Nick Bostrom's foundational simulation argument, we develop a novel integrated approach... more
Both intensional and extensional background knowledge have previously been used in inductive problems to complement the training set used for a task. In this research, we propose to explore the usefulness, for inductive learning, of a new... more
This paper proposes two parallel variants of an Estimation of Distribution Algorithm (EDA) that represents the probability distribution by means of a single connected graphical model based on a polytree structure. The main goal is to... more
Multiple stressors are an increasing concern in the management and conservation of ecosystems, and have been identified as a key gap in research. Coral reefs are one example of an ecosystem where management of local stressors may be a way... more
As is well known, the implementation of science-based achievements of different scientific disciplines for the purpose of criminal and judicial process in general, is one of the more prevalent tendencies of contemporary justice. In... more
En este taller se propone una herramienta para el análisis de los problemas de probabilidad condicional y de sus procesos de resolución, el grafo trinomial. El taller consta de cuatro fases: introducción al lenguaje del grafo, traducción... more
Closed Circuit Television systems in shopping malls could be used to monitor the shopping behavior of people. From the tracked path, features can be extracted such as the relation with the shopping area, the orientation of the head, speed... more
This volume provides a mathematically rigorous examination of advanced Bayesian models applied to private equity (PE) risk management under conditions of severe structural uncertainty. Recognizing the limitations of traditional... more
This paper argues that modern artificial intelligence systems are fundamentally misaligned with real-world domains because they optimize symmetric predictive objectives such as expected loss, while consequential environments are governed... more
Séance 5 du cours d'Introduction à l'IA et à la Logique Mathématique pour l'IA : raisonnement probabiliste et inférence bayésienne comme extension de la logique classique.
This work proposes a novel approach for solving abductive reasoning problems in Bayesian networks involving fuzzy parameters and extra constraints. The proposed method formulates abduction problems using nonlinear programming. To maximize... more
Büyük ölçekli sanayi ve enerji yatırımlarında alınan kararlar, çoğu zaman yalnızca teknik yeterlilik ve maliyet hesabıyla şekillenmez. Kurumsal çıkarlar, danışman etkileri, algı yönetimi ve görünmeyen güç dengeleri, sonuç üzerinde... more
The traditional approach to the study of human factors in the maritime field involves the analysis of accidents without considering human factors reliability analysis. The main approach being use to analyze human errors are statistical... more
Clustering and correlation analysis techniques have become popular tools for the analysis of data produced by metabolomics experiments. The results obtained from these approaches provide an overview of the interactions between objects of... more
Socio-ecological systems are recognized as complex adaptive systems whose multiple interactions might change as a response to external or internal changes. Due to its complexity, the behavior of the system is often uncertain. Bayesian... more
Continual learning systems must remain plastic enough to adapt to evolving data while retaining previously acquired knowledge. Bayesian methods offer a natural framework for continual learning, but standard sequential Bayesian inference... more
Probabilistic topic models are a popular tool for the unsupervised analysis of text, providing both a predictive model of future text and a latent topic representation of the corpus. Recent studies have found that while there are... more
Closed Circuit Television systems in shopping malls could be used to monitor the shopping behavior of people. From the tracked path, features can be extracted such as the relation with the shopping area, the orientation of the head, speed... more
Özet. İlişkisel veritabanı yönetim sistemleri (İVYS) bankacılık, telekom ve benzeri birçok alandaki kritik yazılımların işleyişinde önemli bir rol oynamaktadır. Bu sistemlerde oluşan hatalar ve kesintilerin büyük maliyetleri... more
This article presents a Bayesian implementation of a cumulative probit model to forecast the outcomes of the UEFA Champions League matches. The argument of the normal CDF involves a cut-off point, a home vs away playing effect and the... more
This paper develops a unified analytical framework for measuring political legitimacy across heterogeneous governance domains. Building on insights from constitutional political economy, social choice theory, and institutional analysis,... more
Face recognition systems robust to major occlusions have wide applications ranging from consumer products with biometric features to surveillance and law enforcement applications. In unconstrained scenarios, faces are often subject to... more
In this article we propose CPrefMiner, a mining technique for learning a Bayesian Preference Network (BPN) from a given sample of user choices. In our approach, user preferences are not static and may vary according to a multitude of user... more
The present paper is focusing on the connection between the Isomorphic groups and the Isomorphic graphs. We established a few results on the necessary and sufficient condition on the dimension of the graphs, which are isomorphic with... more
This review critically examines the work of Cheng and Tong (2025) on overcoming the intractability barrier in infinite-dimensional non-parametric information geometry through an orthogonal decomposition of the tangent space. The paper... more
Nowadays, robotic platforms tend to be equipped with a conjugation of multi-modal artificial perception systems to navigate and interact with the surrounding environment and persons. The complexity and dynamic characteristics of those... more
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