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Bayesian networks have been used extensively in diagnostic tasks such as medicine, where they represent the dependency relations between a set of symptoms and a set of diseases. A criticism of this type of knowledge representation is that…

Artificial Intelligence · Computer Science 2013-03-25 Luis Enrique Sucar , Duncan F. Gillies

Despite remarkable progress in recent years, Vision Language Models (VLMs) remain prone to overconfidence and hallucinations on tasks such as Visual Question Answering (VQA) and Visual Reasoning. Bayesian methods can potentially improve…

Computer Vision and Pattern Recognition · Computer Science 2026-04-23 Tobias Jan Wieczorek , Nathalie Daun , Mohammad Emtiyaz Khan , Marcus Rohrbach

Bayesian approach, as a useful tool for quantifying uncertainties, has been widely used for solving inverse problems of partial differential equations (PDEs). One of the key difficulties for employing Bayesian approach for the issue is how…

Numerical Analysis · Mathematics 2026-02-09 Junxiong Jia , Qian Zhao , Zongben Xu , Deyu Meng , Yee Leung

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

Regularization of inverse problems is of paramount importance in computational imaging. The ability of neural networks to learn efficient image representations has been recently exploited to design powerful data-driven regularizers. While…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Maud Biquard , Marie Chabert , Florence Genin , Christophe Latry , Thomas Oberlin

The motivation for this paper is to apply Bayesian structure learning using Model Averaging in large-scale networks. Currently, Bayesian model averaging algorithm is applicable to networks with only tens of variables, restrained by its…

Machine Learning · Computer Science 2012-10-19 Yang Lu , Mengying Wang , Menglu Li , Qili Zhu , Bo Yuan

We propose Radial Bayesian Neural Networks (BNNs): a variational approximate posterior for BNNs which scales well to large models while maintaining a distribution over weight-space with full support. Other scalable Bayesian deep learning…

Machine Learning · Statistics 2021-06-01 Sebastian Farquhar , Michael Osborne , Yarin Gal

We present two methods to reduce the complexity of Bayesian network (BN) classifiers. First, we introduce quantization-aware training using the straight-through gradient estimator to quantize the parameters of BNs to few bits. Second, we…

Machine Learning · Computer Science 2021-09-23 Wolfgang Roth , Günther Schindler , Holger Fröning , Franz Pernkopf

A Bayesian net (BN) is more than a succinct way to encode a probabilistic distribution; it also corresponds to a function used to answer queries. A BN can therefore be evaluated by the accuracy of the answers it returns. Many algorithms for…

Artificial Intelligence · Computer Science 2013-02-08 Russell Greiner , Adam J. Grove , Dale Schuurmans

Motivation: Several different threads of research have been proposed for modeling and mining temporal data. On the one hand, approaches such as dynamic Bayesian networks (DBNs) provide a formal probabilistic basis to model relationships…

Machine Learning · Computer Science 2009-04-15 Debprakash Patnaik , Srivatsan Laxman , Naren Ramakrishnan

We introduce a deterministic variational formulation for training Bayesian last layer neural networks. This yields a sampling-free, single-pass model and loss that effectively improves uncertainty estimation. Our variational Bayesian last…

Machine Learning · Computer Science 2024-04-18 James Harrison , John Willes , Jasper Snoek

The problem of catastrophic forgetting occurs in deep learning models trained on multiple databases in a sequential manner. Recently, generative replay mechanisms (GRM), have been proposed to reproduce previously learned knowledge aiming to…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Fei Ye , Adrian G. Bors

Deep neural networks (DNNs) have achieved significant success in various applications with large-scale and balanced data. However, data in real-world visual recognition are usually long-tailed, bringing challenges to efficient training and…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Yifan Lan , Xin Cai , Jun Cheng , Shan Tan

Bayesian Neural Networks (BNNs) have recently received increasing attention for their ability to provide well-calibrated posterior uncertainties. However, model selection---even choosing the number of nodes---remains an open question.…

Machine Learning · Statistics 2018-08-01 Soumya Ghosh , Jiayu Yao , Finale Doshi-Velez

Bayesian Neural Networks (BNNs) offer probability distributions for model parameters, enabling uncertainty quantification in predictions. However, they often underperform compared to deterministic neural networks. Utilizing mutual learning…

Machine Learning · Computer Science 2024-07-04 Cuong Pham , Cuong C. Nguyen , Trung Le , Dinh Phung , Gustavo Carneiro , Thanh-Toan Do

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

Causal learning from data has received much attention recently. Bayesian networks can be used to capture causal relationships. There, one recovers a weighted directed acyclic graph in which random variables are represented by vertices, and…

Machine Learning · Computer Science 2026-01-06 Pavel Rytir , Ales Wodecki , Georgios Korpas , Jakub Marecek

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

Machine Learning · Statistics 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

Dynamic Bayesian Networks (DBNs), renowned for their interpretability, have become increasingly vital in representing complex stochastic processes in various domains such as gene expression analysis, healthcare, and traffic prediction.…

Machine Learning · Computer Science 2023-12-05 Hui Ouyang , Cheng Chen , Ke Tang

Macroeconomic data is characterized by a limited number of observations (small T), many time series (big K) but also by featuring temporal dependence. Neural networks, by contrast, are designed for datasets with millions of observations and…

Econometrics · Economics 2024-04-04 Niko Hauzenberger , Florian Huber , Karin Klieber , Massimiliano Marcellino