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We introduce semiparametric Bayesian networks that combine parametric and nonparametric conditional probability distributions. Their aim is to incorporate the advantages of both components: the bounded complexity of parametric models and…

Machine Learning · Computer Science 2021-09-08 David Atienza , Concha Bielza , Pedro Larrañaga

Bayesian network structures are usually built using only the data and starting from an empty network or from a naive Bayes structure. Very often, in some domains, like medicine, a prior structure knowledge is already known. This structure…

Artificial Intelligence · Computer Science 2014-06-11 Ezilda Almeida , Pedro Ferreira , Tiago Vinhoza , Inês Dutra , Jingwei Li , Yirong Wu , Elizabeth Burnside

For decomposable score-based structure learning of Bayesian networks, existing approaches first compute a collection of candidate parent sets for each variable and then optimize over this collection by choosing one parent set for each…

Artificial Intelligence · Computer Science 2017-07-20 Cassio P. de Campos , Mauro Scanagatta , Giorgio Corani , Marco Zaffalon

In this paper, we provide a method to learn the directed structure of a Bayesian network using data. The data is accessed by making conditional probability queries to a black-box model. We introduce a notion of simplicity of representation…

Machine Learning · Computer Science 2021-02-19 Adarsh Barik , Jean Honorio

In literature there are several studies on the performance of Bayesian network structure learning algorithms. The focus of these studies is almost always the heuristics the learning algorithms are based on, i.e. the maximisation algorithms…

Machine Learning · Statistics 2012-08-28 Marco Scutari , Adriana Brogini

We present a mechanism for constructing graphical models, specifically Bayesian networks, from a knowledge base of general probabilistic information. The unique feature of our approach is that it uses a powerful first-order probabilistic…

Artificial Intelligence · Computer Science 2013-03-08 Fahiem Bacchus

We present a method for dynamically generating Bayesian networks from knowledge bases consisting of first-order probability logic sentences. We present a subset of probability logic sufficient for representing the class of Bayesian networks…

Artificial Intelligence · Computer Science 2013-02-28 Peter Haddawy

Whereas acausal Bayesian networks represent probabilistic independence, causal Bayesian networks represent causal relationships. In this paper, we examine Bayesian methods for learning both types of networks. Bayesian methods for learning…

Artificial Intelligence · Computer Science 2015-05-19 David Heckerman

We propose an efficient family of algorithms to learn the parameters of a Bayesian network from incomplete data. In contrast to textbook approaches such as EM and the gradient method, our approach is non-iterative, yields closed form…

Machine Learning · Computer Science 2014-11-26 Guy Van den Broeck , Karthika Mohan , Arthur Choi , Judea Pearl

Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Bayesian networks are a class of graphical models that allow to represent a collection of random variables and their condititional…

Artificial Intelligence · Computer Science 2019-01-08 Robert Leppert , Karl-Heinz Zimmermann

Learning causal structure is useful in many areas of artificial intelligence, including planning, robotics, and explanation. Constraint-based structure learning algorithms such as PC use conditional independence (CI) tests to infer causal…

Machine Learning · Computer Science 2022-11-15 Erica Cai , Andrew McGregor , David Jensen

Testing for the conditional independence structure in data is a fundamental and critical task in statistics and machine learning, which finds natural applications in causal discovery - a highly relevant problem to many scientific…

Machine Learning · Statistics 2025-03-03 Bao Duong , Nu Hoang , Thin Nguyen

Promising results have driven a recent surge of interest in continuous optimization methods for Bayesian network structure learning from observational data. However, there are theoretical limitations on the identifiability of underlying…

We propose a cooperative coevolutionary genetic algorithm for learning Bayesian network structures from fully observable data sets. Since this problem can be decomposed into two dependent subproblems, that is to find an ordering of the…

Neural and Evolutionary Computing · Computer Science 2013-05-29 Arthur Carvalho

Learning Bayesian networks is often cast as an optimization problem, where the computational task is to find a structure that maximizes a statistically motivated score. By and large, existing learning tools address this optimization problem…

Machine Learning · Computer Science 2013-01-30 Nir Friedman , Iftach Nachman , Dana Pe'er

Learning a Bayesian network is an NP-hard problem and with an increase in the number of nodes, classical algorithms for learning the structure of Bayesian networks become inefficient. In recent years, some methods and algorithms for…

Machine Learning · Computer Science 2022-08-23 Yury Kaminsky , Irina Deeva

Causal Bayesian Networks provide an important tool for reasoning under uncertainty with potential application to many complex causal systems. Structure learning algorithms that can tell us something about the causal structure of these…

Machine Learning · Computer Science 2024-04-15 Neville K Kitson , Anthony C Constantinou

Structural learning of directed acyclic graphs (DAGs) or Bayesian networks has been studied extensively under the assumption that data are independent. We propose a new Gaussian DAG model for dependent data which assumes the observations…

Machine Learning · Statistics 2021-07-30 Hangjian Li , Oscar Hernan Madrid Padilla , Qing Zhou

Though a belief network (a representation of the joint probability distribution, see [3]) and a causal network (a representation of causal relationships [14]) are intended to mean different things, they are closely related. Both assume an…

Artificial Intelligence · Computer Science 2017-05-30 Mieczysław Kłopotek

Learning the structure of Bayesian networks from data provides insights into underlying processes and the causal relationships that generate the data, but its usefulness depends on the homogeneity of the data population, a condition often…