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Traditional approaches to Bayes net structure learning typically assume little regularity in graph structure other than sparseness. However, in many cases, we expect more systematicity: variables in real-world systems often group into…

机器学习 · 计算机科学 2012-07-02 Vikash Mansinghka , Charles Kemp , Thomas Griffiths , Joshua Tenenbaum

Bayesian learning is a powerful learning framework which combines the external information of the data (background information) with the internal information (training data) in a logically consistent way in inference and prediction. By…

机器学习 · 统计学 2026-02-11 Erdong Guo , David Draper

The graph of a Bayesian Network (BN) can be machine learned, determined by causal knowledge, or a combination of both. In disciplines like bioinformatics, applying BN structure learning algorithms can reveal new insights that would…

人工智能 · 计算机科学 2021-02-03 Anthony C. Constantinou , Norman Fenton , Martin Neil

We propose Graphical Generative Adversarial Networks (Graphical-GAN) to model structured data. Graphical-GAN conjoins the power of Bayesian networks on compactly representing the dependency structures among random variables and that of…

机器学习 · 计算机科学 2018-12-18 Chongxuan Li , Max Welling , Jun Zhu , Bo Zhang

Popular generative model learning methods such as Generative Adversarial Networks (GANs), and Variational Autoencoders (VAE) enforce the latent representation to follow simple distributions such as isotropic Gaussian. In this paper, we…

机器学习 · 计算机科学 2018-03-15 Cem Subakan , Oluwasanmi Koyejo , Paris Smaragdis

We investigate the problem of learning Bayesian networks in a robust model where an $\epsilon$-fraction of the samples are adversarially corrupted. In this work, we study the fully observable discrete case where the structure of the network…

数据结构与算法 · 计算机科学 2018-10-30 Yu Cheng , Ilias Diakonikolas , Daniel Kane , Alistair Stewart

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…

神经与进化计算 · 计算机科学 2013-05-29 Arthur Carvalho

Transductive Adversarial Networks (TAN) is a novel domain-adaptation machine learning framework that is designed for learning a conditional probability distribution on unlabelled input data in a target domain, while also only having access…

机器学习 · 统计学 2018-02-09 Sean Rowan

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.…

人工智能 · 计算机科学 2023-03-09 Chase Yakaboski , Eugene Santos

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…

机器学习 · 计算机科学 2018-12-04 Irene Córdoba , Concha Bielza , Pedro Larrañaga

Bayesian networks are a class of popular graphical models that encode causal and conditional independence relations among variables by directed acyclic graphs (DAGs). We propose a novel structure learning method, annealing on regularized…

机器学习 · 统计学 2020-05-04 Qiaoling Ye , Arash A. Amini , Qing Zhou

Bayesian networks are a widely-used class of probabilistic graphical models capable of representing symmetric conditional independence between variables of interest using the topology of the underlying graph. For categorical variables, they…

机器学习 · 统计学 2022-10-07 Gherardo Varando , Federico Carli , Manuele Leonelli

Equipping graph neural networks with a convolution operation defined in terms of a cellular sheaf offers advantages for learning expressive representations of heterophilic graph data. The most flexible approach to constructing the sheaf is…

机器学习 · 计算机科学 2025-09-15 Patrick Gillespie , Layal Bou Hamdan , Ioannis Schizas , David L. Boothe , Vasileios Maroulas

One of the most challenging tasks when adopting Bayesian Networks (BNs) is the one of learning their structure from data. This task is complicated by the huge search space of possible solutions, and by the fact that the problem is NP-hard.…

机器学习 · 计算机科学 2018-08-07 Stefano Beretta , Mauro Castelli , Ivo Goncalves , Roberto Henriques , Daniele Ramazzotti

We report a scalable hybrid quantum-classical machine learning framework to build Bayesian networks (BN) that captures the conditional dependence and causal relationships of random variables. The generation of a BN consists of finding a…

机器学习 · 计算机科学 2019-01-31 Radhakrishnan Balu , Ajinkya Borle

We study active structure learning of Bayesian networks in an observational setting, in which there are external limitations on the number of variable values that can be observed from the same sample. Random samples are drawn from the joint…

机器学习 · 计算机科学 2022-08-23 Noa Ben-David , Sivan Sabato

Bayesian networks are a powerful framework for studying the dependency structure of variables in a complex system. The problem of learning Bayesian networks is tightly associated with the given data type. Ordinal data, such as stages of…

统计方法学 · 统计学 2021-11-15 Xiang Ge Luo , Giusi Moffa , Jack Kuipers

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…

人工智能 · 计算机科学 2013-02-08 Marco Ramoni , Paola Sebastiani

Several structural learning algorithms for staged tree models, an asymmetric extension of Bayesian networks, have been defined. However, they do not scale efficiently as the number of variables considered increases. Here we introduce the…

机器学习 · 统计学 2022-06-15 Manuele Leonelli , Gherardo Varando

In Bayesian structure learning, we are interested in inferring a distribution over the directed acyclic graph (DAG) structure of Bayesian networks, from data. Defining such a distribution is very challenging, due to the combinatorially…