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In previous work we developed a method of learning Bayesian Network models from raw data. This method relies on the well known minimal description length (MDL) principle. The MDL principle is particularly well suited to this task as it…

Artificial Intelligence · Computer Science 2013-03-08 Wai Lam , Fahiem Bacchus

This paper extends the work in [Suzuki, 1996] and presents an efficient depth-first branch-and-bound algorithm for learning Bayesian network structures, based on the minimum description length (MDL) principle, for a given (consistent)…

Artificial Intelligence · Computer Science 2013-01-18 Jin Tian

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

Learning the structure of Bayesian networks and causal relationships from observations is a common goal in several areas of science and technology. We show that the prequential minimum description length principle (MDL) can be used to…

Machine Learning · Computer Science 2021-07-13 Jorg Bornschein , Silvia Chiappa , Alan Malek , Rosemary Nan Ke

Bayesian belief network learning algorithms have three basic components: a measure of a network structure and a database, a search heuristic that chooses network structures to be considered, and a method of estimating the probability tables…

Artificial Intelligence · Computer Science 2013-02-28 Remco R. Bouckaert

In recent years there has been an increasing interest in learning Bayesian networks from data. One of the most effective methods for learning such networks is based on the minimum description length (MDL) principle. Previous work has shown…

Machine Learning · Computer Science 2013-02-18 Nir Friedman , Zohar Yakhini

This is an up-to-date introduction to and overview of the Minimum Description Length (MDL) Principle, a theory of inductive inference that can be applied to general problems in statistics, machine learning and pattern recognition. While MDL…

Methodology · Statistics 2019-12-19 Peter Grünwald , Teemu Roos

Successful machine learning methods require a trade-off between memorization and generalization. Too much memorization and the model cannot generalize to unobserved examples. Too much over-generalization and we risk under-fitting the data.…

Artificial Intelligence · Computer Science 2023-03-09 Chase Yakaboski , Eugene Santos

Minimum Description Length (MDL) is an important principle for induction and prediction, with strong relations to optimal Bayesian learning. This paper deals with learning non-i.i.d. processes by means of two-part MDL, where the underlying…

Information Theory · Computer Science 2007-07-13 Jan Poland , Marcus Hutter

A major problem for the learning of Bayesian networks (BNs) is the exponential number of parameters needed for conditional probability tables. Recent research reduces this complexity by modeling local structure in the probability tables. We…

Artificial Intelligence · Computer Science 2013-01-30 Julian R. Neil , Chris S. Wallace , Kevin B. Korb

The efficiency of a query execution plan depends on the accuracy of the selectivity estimates given to the query optimiser by the cost model. The cost model makes simplifying assumptions in order to produce said estimates in a timely…

Databases · Computer Science 2019-07-16 Max Halford , Philippe Saint-Pierre , Frank Morvan

Many databases store data in relational format, with different types of entities and information about links between the entities. The field of statistical-relational learning (SRL) has developed a number of new statistical models for such…

Machine Learning · Computer Science 2009-10-20 Oliver Schulte , Hassan Khosravi , Flavia Moser , Martin Ester

In this paper, we present a guide to the foundations of learning Dynamic Bayesian Networks (DBNs) from data in the form of multiple samples of trajectories for some length of time. We present the formalism for a generic as well as a set of…

Machine Learning · Computer Science 2024-09-02 Vyacheslav Kungurtsev , Fadwa Idlahcen , Petr Rysavy , Pavel Rytir , Ales Wodecki

Relational query optimisers rely on cost models to choose between different query execution plans. Selectivity estimates are known to be a crucial input to the cost model. In practice, standard selectivity estimation procedures are prone to…

Databases · Computer Science 2020-09-22 Max Halford , Philippe Saint-Pierre , Franck Morvan

Bayesian approaches to learn the graphical structure of Bayesian Belief Networks (BBNs) from databases share the assumption that the database is complete, that is, no entry is reported as unknown. Attempts to relax this assumption involve…

Artificial Intelligence · Computer Science 2013-02-08 Marco Ramoni , Paola Sebastiani

This is about the Minimum Description Length (MDL) principle applied to pattern mining. The length of this description is kept to the minimum. Mining patterns is a core task in data analysis and, beyond issues of efficient enumeration, the…

Databases · Computer Science 2022-07-29 Esther Galbrun

Stochastic neural networks are a prototypical computational device able to build a probabilistic representation of an ensemble of external stimuli. Building on the relationship between inference and learning, we derive a synaptic plasticity…

Disordered Systems and Neural Networks · Physics 2018-10-23 Luca Saglietti , Federica Gerace , Alessandro Ingrosso , Carlo Baldassi , Riccardo Zecchina

We describe algorithms for learning Bayesian networks from a combination of user knowledge and statistical data. The algorithms have two components: a scoring metric and a search procedure. The scoring metric takes a network structure,…

Artificial Intelligence · Computer Science 2021-06-29 Dan Geiger , David Heckerman

Bayesian network classifiers provide a feasible solution to tabular data classification, with a number of merits like high time and memory efficiency, and great explainability. However, due to the parameter explosion and data sparsity…

Machine Learning · Computer Science 2025-08-18 Huan Zhang , Daokun Zhang , Kexin Meng , Geoffrey I. Webb

Bayesian networks are basic graphical models, used widely both in statistics and artificial intelligence. These statistical models of conditional independence structure are described by acyclic directed graphs whose nodes correspond to…

Optimization and Control · Mathematics 2010-12-01 Raymond Hemmecke , Silvia Lindner , Milan Studený
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