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Related papers: Finding Consensus Bayesian Network Structures

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Now that Bayesian Networks (BNs) have become widely used, an appreciation is developing of just how critical an awareness of the sensitivity and robustness of certain target variables are to changes in the model. When time resources are…

Methodology · Statistics 2018-11-20 Sophia K. Wright , Jim Q. Smith

Given a Bayesian network structure (directed acyclic graph), the celebrated d-separation algorithm efficiently determines whether the network structure implies a given conditional independence relation. We show that this changes drastically…

Computational Complexity · Computer Science 2024-05-14 Cheuk Ting Li

In using the Bayesian network (BN) to construct the complex multistate system's reliability model as described in Part I, the memory storage requirements of the node probability table (NPT) will exceed the random access memory (RAM) of the…

Machine Learning · Computer Science 2022-04-05 Xiaohu Zheng , Wen Yao , Xiaoqian Chen

BPS, the Bayesian Problem Solver, applies probabilistic inference and decision-theoretic control to flexible, resource-constrained problem-solving. This paper focuses on the Bayesian inference mechanism in BPS, and contrasts it with those…

Artificial Intelligence · Computer Science 2013-04-08 Othar Hansson , Andy Mayer

We provide simple schemes to build Bayesian Neural Networks (BNNs), block by block, inspired by a recent idea of computation skeletons. We show how by adjusting the types of blocks that are used within the computation skeleton, we can…

Machine Learning · Statistics 2018-06-12 Hao Henry Zhou , Yunyang Xiong , Vikas Singh

Structural learning of Bayesian Networks (BNs) is a NP-hard problem, which is further complicated by many theoretical issues, such as the I-equivalence among different structures. In this work, we focus on a specific subclass of BNs, named…

Machine Learning · Computer Science 2018-10-24 Daniele Ramazzotti , Marco S. Nobile , Marco Antoniotti , Alex Graudenzi

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

Recently, there has been much interest in finding globally optimal Bayesian network structures. These techniques were developed for generative scores and can not be directly extended to discriminative scores, as desired for classification.…

Machine Learning · Computer Science 2012-07-03 Robert Peharz , Franz Pernkopf

Various AI models are increasingly being considered as part of clinical decision-support tools. However, the trustworthiness of such models is rarely considered. Clinicians are more likely to use a model if they can understand and trust its…

Artificial Intelligence · Computer Science 2020-03-09 Evangelia Kyrimi , Somayyeh Mossadegh , Nigel Tai , William Marsh

We study the problem of learning Bayesian network structures from data. We develop an algorithm for finding the k-best Bayesian network structures. We propose to compute the posterior probabilities of hypotheses of interest by Bayesian…

Machine Learning · Computer Science 2012-03-19 Jin Tian , Ru He , Lavanya Ram

Bayesian network (BN) modelling is extensively used in systems epidemiology. Usually it consists in selecting and reporting the best-fitting structure conditional to the data. A major practical concern is avoiding overfitting, on account of…

Computation · Statistics 2019-02-19 Gilles Kratzer , Reinhard Furrer

We study a model of consensus decision making, in which a finite group of Bayesian agents has to choose between one of two courses of action. Each member of the group has a private and independent signal at his or her disposal, giving some…

Statistics Theory · Mathematics 2018-04-24 Elchanan Mossel , Omer Tamuz

Dynamic Bayesian networks have been well explored in the literature as discrete-time models: however, their continuous-time extensions have seen comparatively little attention. In this paper, we propose the first constraint-based algorithm…

Artificial Intelligence · Computer Science 2021-06-04 Alessandro Bregoli , Marco Scutari , Fabio Stella

Score functions for learning the structure of Bayesian networks in the literature assume that data are a homogeneous set of observations; whereas it is often the case that they comprise different related, but not homogeneous, data sets…

Machine Learning · Statistics 2021-07-20 Laura Azzimonti , Giorgio Corani , Marco Scutari

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

A principled approach to understand network structures is to formulate generative models. Given a collection of models, however, an outstanding key task is to determine which one provides a more accurate description of the network at hand,…

Machine Learning · Statistics 2018-06-29 Toni Vallès-Català , Tiago P. Peixoto , Roger Guimerà , Marta Sales-Pardo

We present a new approach for learning the structure of a treewidth-bounded Bayesian Network (BN). The key to our approach is applying an exact method (based on MaxSAT) locally, to improve the score of a heuristically computed BN. This…

Artificial Intelligence · Computer Science 2021-02-08 Vaidyanathan P. R. , Stefan Szeider

We consider the problem of solving consensus using deterministic algorithms in a synchronous dynamic network with unreliable, directional point-to-point links, which are under the control of a message adversary. In contrast to a large body…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-10 Kyrill Winkler , Manfred Schwarz , Ulrich Schmid

Community detection methods attempt to divide a network into groups of nodes that share similar properties, thus revealing its large-scale structure. A major challenge when employing such methods is that they are often degenerate, typically…

Physics and Society · Physics 2021-04-23 Tiago P. Peixoto

We propose a model of inference and heuristic decision-making in groups that is rooted in the Bayes rule but avoids the complexities of rational inference in partially observed environments with incomplete information, which are…

Multiagent Systems · Computer Science 2016-11-04 M. Amin Rahimian , Ali Jadbabaie