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The rising growth of deep neural networks (DNNs) and datasets in size motivates the need for efficient solutions for simultaneous model selection and training. Many methods for hyperparameter optimization (HPO) of iterative learners,…

Machine Learning · Computer Science 2023-02-28 Syrine Belakaria , Janardhan Rao Doppa , Nicolo Fusi , Rishit Sheth

Learning the structure of Bayesian networks is a difficult combinatorial optimization problem. In this paper, we consider learning of tree-augmented naive Bayes (TAN) structures for Bayesian network classifiers with discrete input features.…

Machine Learning · Computer Science 2020-08-24 Wolfgang Roth , Franz Pernkopf

We give a new consistent scoring function for structure learning of Bayesian networks. In contrast to traditional approaches to scorebased structure learning, such as BDeu or MDL, the complexity penalty that we propose is data-dependent and…

Machine Learning · Computer Science 2013-09-27 Eliot Brenner , David Sontag

Data sets are growing in complexity thanks to the increasing facilities we have nowadays to both generate and store data. This poses many challenges to machine learning that are leading to the proposal of new methods and paradigms, in order…

Machine Learning · Computer Science 2018-12-04 Irene Córdoba , Concha Bielza , Pedro Larrañaga

A Bayesian network is a directed acyclic graph that represents statistical dependencies between variables of a joint probability distribution. A fundamental task in data science is to learn a Bayesian network from observed data.…

Data Structures and Algorithms · Computer Science 2021-05-21 Niels Grüttemeier , Christian Komusiewicz , Nils Morawietz

The PC algorithm is a widely used method in causal inference for learning the structure of Bayesian networks. Despite its popularity, the PC algorithm suffers from significant time complexity, particularly as the size of the dataset…

Machine Learning · Computer Science 2025-11-25 Kunal Dumbre , Lei Jiao , Ole-Christoffer Granmo

A Bayesian network is a graphical model that encodes probabilistic relationships among variables of interest. When used in conjunction with statistical techniques, the graphical model has several advantages for data analysis. One, because…

Machine Learning · Computer Science 2022-01-11 David Heckerman

We present a hybrid constraint-based/Bayesian algorithm for learning causal networks in the presence of sparse data. The algorithm searches the space of equivalence classes of models (essential graphs) using a heuristic based on…

Artificial Intelligence · Computer Science 2013-01-30 Denver Dash , Marek J. Druzdzel

Causal Bayesian networks are widely used tools for summarising the dependencies between variables and elucidating their putative causal relationships. By restricting the search to trees, for example, learning the optimum from data is…

Computation · Statistics 2025-03-10 Felix L. Rios , Giusi Moffa , Jack Kuipers

We explore the issue of refining an existent Bayesian network structure using new data which might mention only a subset of the variables. Most previous works have only considered the refinement of the network's conditional probability…

Artificial Intelligence · Computer Science 2013-02-28 Wai Lam , Fahiem Bacchus

We are developing a general framework for using learned Bayesian models for decision-theoretic control of search and reasoningalgorithms. We illustrate the approach on the specific task of controlling both general and domain-specific…

Artificial Intelligence · Computer Science 2013-01-14 Eric J. Horvitz , Yongshao Ruan , Carla P. Gomes , Henry Kautz , Bart Selman , David Maxwell Chickering

Finding a globally optimal Bayesian Network using exhaustive search is a problem with super-exponential complexity, which severely restricts the number of variables that it can work for. We implement a dynamic programming based algorithm…

Artificial Intelligence · Computer Science 2022-07-19 Nand Sharma , Joshua Millstein

Neuroevolutionary algorithms, automatic searches of neural network structures by means of evolutionary techniques, are computationally costly procedures. In spite of this, due to the great performance provided by the architectures which are…

Neural and Evolutionary Computing · Computer Science 2021-05-28 Unai Garciarena , Nuno Lourenço , Penousal Machado , Roberto Santana , Alexander Mendiburu

Bayesian neural networks (BNNs) augment deep networks with uncertainty quantification by Bayesian treatment of the network weights. However, such models face the challenge of Bayesian inference in a high-dimensional and usually…

Machine Learning · Computer Science 2021-03-30 Zhijie Deng , Yucen Luo , Jun Zhu , Bo Zhang

The increasing availability of structured but high dimensional data has opened new opportunities for optimization. One emerging and promising avenue is the exploration of unsupervised methods for projecting structured high dimensional data…

Machine Learning · Computer Science 2021-01-07 Eero Siivola , Javier Gonzalez , Andrei Paleyes , Aki Vehtari

A wide range of machine learning algorithms iteratively add data to the training sample. Examples include semi-supervised learning, active learning, multi-armed bandits, and Bayesian optimization. We embed this kind of data addition into…

Machine Learning · Statistics 2024-06-25 Julian Rodemann

Traditionally, Bayesian network structure learning is often carried out at a central site, in which all data is gathered. However, in practice, data may be distributed across different parties (e.g., companies, devices) who intend to…

Machine Learning · Computer Science 2022-04-05 Ignavier Ng , Kun Zhang

We present a method for learning treewidth-bounded Bayesian networks from data sets containing thousands of variables. Bounding the treewidth of a Bayesian greatly reduces the complexity of inferences. Yet, being a global property of the…

Artificial Intelligence · Computer Science 2016-05-12 Mauro Scanagatta , Giorgio Corani , Cassio P. de Campos , Marco Zaffalon

Network lasso is a method for solving a multi-task learning problem through the regularized maximum likelihood method. A characteristic of network lasso is setting a different model for each sample. The relationships among the models are…

Methodology · Statistics 2021-10-19 Kaito Shimamura , Shuichi Kawano

Learning the structure of Bayesian networks (BNs) from data is challenging, especially for datasets involving a large number of variables. The recently proposed divide-and-conquer (D\&D) strategies present a promising approach for learning…

Machine Learning · Computer Science 2025-07-01 Shengcai Liu , Hui Ou-yang , Zhiyuan Wang , Cheng Chen , Qijun Cai , Yew-Soon Ong , Ke Tang
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