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The estimation of Bayesian networks given high-dimensional data, in particular gene expression data, has been the focus of much recent research. Whilst there are several methods available for the estimation of such networks, these typically…

Methodology · Statistics 2011-12-01 Jessica Kasza , Gary Glonek , Patty Solomon

Bayesian neural networks with latent variables are scalable and flexible probabilistic models: They account for uncertainty in the estimation of the network weights and, by making use of latent variables, can capture complex noise patterns…

Machine Learning · Statistics 2018-06-19 Stefan Depeweg , José Miguel Hernández-Lobato , Finale Doshi-Velez , Steffen Udluft

Deep learning models, including modern systems like large language models, are well known to offer unreliable estimates of the uncertainty of their decisions. In order to improve the quality of the confidence levels, also known as…

Machine Learning · Computer Science 2024-04-15 Jiayi Huang , Sangwoo Park , Osvaldo Simeone

Differential Networks (DNs), tools that encapsulate interactions within intricate systems, are brought under the Bayesian lens in this research. A novel na{\i}ve Bayesian adaptive graphical elastic net (BAE) prior is introduced to estimate…

Methodology · Statistics 2023-06-27 J. Smith , A. Bekker , M. Arashi

In this paper, we study the problem of structure learning for Bayesian networks in which nodes take discrete values. The problem is NP-hard in general but we show that under certain conditions we can recover the true structure of a Bayesian…

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

Mixture of experts (MoE) are a popular class of statistical and machine learning models that have gained attention over the years due to their flexibility and efficiency. In this work, we consider Gaussian-gated localized MoE (GLoME) and…

Statistics Theory · Mathematics 2022-09-29 TrungTin Nguyen , Hien Duy Nguyen , Faicel Chamroukhi , Florence Forbes

Modeling uncertainty in deep neural networks, despite recent important advances, is still an open problem. Bayesian neural networks are a powerful solution, where the prior over network weights is a design choice, often a normal…

Machine Learning · Statistics 2019-10-29 Raanan Y. Rohekar , Yaniv Gurwicz , Shami Nisimov , Gal Novik

Bayesian network structure learning algorithms with limited data are being used in domains such as systems biology and neuroscience to gain insight into the underlying processes that produce observed data. Learning reliable networks from…

Machine Learning · Statistics 2013-07-10 Diane Oyen , Terran Lane

Recent advances in deep learning have led to a paradigm shift in the field of reversible steganography. A fundamental pillar of reversible steganography is predictive modelling which can be realised via deep neural networks. However,…

Machine Learning · Computer Science 2023-03-08 Ching-Chun Chang

We present a new approach to learning the structure and parameters of a Bayesian network based on regularized estimation in an exponential family representation. Here we show that, given a fixed variable order, the optimal structure and…

Machine Learning · Computer Science 2012-07-02 Yuhong Guo , Dale Schuurmans

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

Bayesian neural networks (BNNs) with latent variables are probabilistic models which can automatically identify complex stochastic patterns in the data. We describe and study in these models a decomposition of predictive uncertainty into…

Machine Learning · Statistics 2017-11-15 Stefan Depeweg , José Miguel Hernández-Lobato , Finale Doshi-Velez , Steffen Udluft

Explainable artificial intelligence (XAI) is an important and rapidly expanding research topic. The goal of XAI is to gain trust in a machine learning (ML) model through clear insights into how the model arrives at its predictions. Genetic…

Neural and Evolutionary Computing · Computer Science 2022-03-28 E. M. C. Sijben , T. Alderliesten , P. A. N. Bosman

This paper describes stochastic search approaches, including a new stochastic algorithm and an adaptive mutation operator, for learning Bayesian networks from incomplete data. This problem is characterized by a huge solution space with a…

Artificial Intelligence · Computer Science 2013-01-30 James W. Myers , Kathryn Blackmond Laskey , Tod S. Levitt

Recent advances in communications, mobile computing, and artificial intelligence have greatly expanded the application space of intelligent distributed sensor networks. This in turn motivates the development of generalized Bayesian…

Robotics · Computer Science 2013-08-15 Nisar Ahmed , Tsung-Lin Yang , Mark Campbell

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

We show how to treat systematic uncertainties using Bayesian deep networks for regression. First, we analyze how these networks separately trace statistical and systematic uncertainties on the momenta of boosted top quarks forming fat jets.…

High Energy Physics - Phenomenology · Physics 2020-12-23 Gregor Kasieczka , Michel Luchmann , Florian Otterpohl , Tilman Plehn

We consider the problem of learning Bayesian network classifiers that maximize the marginover a set of classification variables. We find that this problem is harder for Bayesian networks than for undirected graphical models like maximum…

Machine Learning · Computer Science 2012-07-09 Yuhong Guo , Dana Wilkinson , Dale Schuurmans

Deep directed generative models have attracted much attention recently due to their generative modeling nature and powerful data representation ability. In this paper, we review different structures of deep directed generative models and…

Machine Learning · Computer Science 2017-10-16 Siqi Nie , Meng Zheng , Qiang Ji

In this work, we aim to establish a Bayesian adaptive learning framework by focusing on estimating latent variables in deep neural network (DNN) models. Latent variables indeed encode both transferable distributional information and…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-26 Hu Hu , Sabato Marco Siniscalchi , Chin-Hui Lee