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Structure learning is essential for Bayesian networks (BNs) as it uncovers causal relationships, and enables knowledge discovery, predictions, inferences, and decision-making under uncertainty. Two novel algorithms, FSBN and SSBN, based on…

Machine Learning · Computer Science 2023-10-16 Minn Sein , Fu Shunkai

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

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

Mammography stands as the main screening method for detecting breast cancer early, enhancing treatment success rates. The segmentation of landmark structures in mammography images can aid the medical assessment in the evaluation of cancer…

Image and Video Processing · Electrical Eng. & Systems 2025-03-31 Jan Hurtado , Joao P. Maia , Cesar A. Sierra-Franco , Alberto Raposo

Due to its causal semantics, Bayesian networks (BN) have been widely employed to discover the underlying data relationship in exploratory studies, such as brain research. Despite its success in modeling the probability distribution of…

Computer Vision and Pattern Recognition · Computer Science 2015-06-24 Luping Zhou , Lei Wang , Lingqiao Liu , Philip Ogunbona , Dinggang Shen

We propose a novel probabilistic dimensionality reduction framework that can naturally integrate the generative model and the locality information of data. Based on this framework, we present a new model, which is able to learn a smooth…

Machine Learning · Statistics 2016-10-18 Li Wang

Learning a Bayesian network structure from data is an NP-hard problem and thus exact algorithms are feasible only for small data sets. Therefore, network structures for larger networks are usually learned with various heuristics. Another…

Machine Learning · Computer Science 2012-10-19 Teppo Niinimaki , Pekka Parviainen

Continuous-time Bayesian networks (CTBNs) constitute a general and powerful framework for modeling continuous-time stochastic processes on networks. This makes them particularly attractive for learning the directed structures among…

Machine Learning · Statistics 2018-10-15 Dominik Linzner , Heinz Koeppl

Continual learning models allow to learn and adapt to new changes and tasks over time. However, in continual and sequential learning scenarios in which the models are trained using different data with various distributions, neural networks…

Machine Learning · Computer Science 2020-08-17 HongLin Li , Payam Barnaghi , Shirin Enshaeifar , Frieder Ganz

Structure learning algorithms that learn the graph of a Bayesian network from observational data often do so by assuming the data correctly reflect the true distribution of the variables. However, this assumption does not hold in the…

Artificial Intelligence · Computer Science 2020-11-20 Yang Liu , Anthony C. Constantinou , ZhiGao Guo

Data augmentation is often used to incorporate inductive biases into models. Traditionally, these are hand-crafted and tuned with cross validation. The Bayesian paradigm for model selection provides a path towards end-to-end learning of…

Machine Learning · Statistics 2022-03-02 Pola Schwöbel , Martin Jørgensen , Sebastian W. Ober , Mark van der Wilk

Structure learning of Bayesian networks has always been a challenging problem. Nowadays, massive-size networks with thousands or more of nodes but fewer samples frequently appear in many areas. We develop a divide-and-conquer framework,…

Machine Learning · Statistics 2020-09-24 Jiaying Gu , Qing Zhou

Understanding probabilistic dependencies among variables is central to analyzing complex systems. Traditional structure learning methods often require extensive observational data or are limited by manual, error-prone incorporation of…

Machine Learning · Computer Science 2026-02-24 Yinghuan Zhang , Yufei Zhang , Parisa Kordjamshidi , Zijun Cui

Deep learning is a form of machine learning for nonlinear high dimensional pattern matching and prediction. By taking a Bayesian probabilistic perspective, we provide a number of insights into more efficient algorithms for optimisation and…

Machine Learning · Statistics 2018-01-23 Nicholas Polson , Vadim Sokolov

Learning the structure of Bayesian networks from data is known to be a computationally challenging, NP-hard problem. The literature has long investigated how to perform structure learning from data containing large numbers of variables,…

Computation · Statistics 2019-10-25 Marco Scutari , Claudia Vitolo , Allan Tucker

The score-based structure learning of Bayesian network (BN) is an effective way to learn BN models, which are regarded as some of the most compelling probabilistic graphical models in the field of representation and reasoning under…

Machine Learning · Computer Science 2025-04-08 Mingcan Wang , Junchang Xin , Luxuan Qu , Qi Chen , Zhiqiong Wang

Domain generalization on graphs aims to develop models with robust generalization capabilities, ensuring effective performance on the testing set despite disparities between testing and training distributions. However, existing methods…

Machine Learning · Computer Science 2024-11-21 Qin Tian , Chen Zhao , Minglai Shao , Wenjun Wang , Yujie Lin , Dong Li

One of the basic tasks for Bayesian networks (BNs) is that of learning a network structure from data. The BN-learning problem is NP-hard, so the standard solution is heuristic search. Many approaches have been proposed for this task, but…

Machine Learning · Computer Science 2012-07-09 Marc Teyssier , Daphne Koller

Acquiring a substantial number of data points for training accurate machine learning (ML) models is a big challenge in scientific fields where data collection is resource-intensive. Here, we propose a novel approach for constructing a…

Machine Learning · Computer Science 2025-05-07 M. R. Mahani , Igor A. Nechepurenko , Yasmin Rahimof , Andreas Wicht

Accurate prognosis for Glioblastoma (GBM) using deep learning (DL) is hindered by extreme spatial and structural heterogeneity. Moreover, inconsistent MRI acquisition protocols across institutions hinder generalizability of models.…

Machine Learning · Computer Science 2026-02-13 Ankita Paul , Wenyi Wang
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