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A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

人工智能 · 计算机科学 2018-11-14 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

The willingness to trust predictions formulated by automatic algorithms is key in a vast number of domains. However, a vast number of deep architectures are only able to formulate predictions without an associated uncertainty. In this…

图像与视频处理 · 电气工程与系统科学 2022-09-28 Matteo Ferrante , Tommaso Boccato , Nicola Toschi

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using a…

机器学习 · 统计学 2023-05-02 Aliaksandr Hubin , Geir Storvik

Bayesian network (BN) structure learning from complete data has been extensively studied in the literature. However, fewer theoretical results are available for incomplete data, and most are related to the Expectation-Maximisation (EM)…

统计理论 · 数学 2021-07-23 Tjebbe Bodewes , Marco Scutari

In this paper, we empirically evaluate algorithms for learning four types of Bayesian network (BN) classifiers - Naive-Bayes, tree augmented Naive-Bayes, BN augmented Naive-Bayes and general BNs, where the latter two are learned using two…

机器学习 · 计算机科学 2013-01-30 Jie Cheng , Russell Greiner

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…

机器学习 · 计算机科学 2021-03-30 Zhijie Deng , Yucen Luo , Jun Zhu , Bo Zhang

The structure of a Bayesian network includes a great deal of information about the probability distribution of the data, which is uniquely identified given some general distributional assumptions. Therefore it's important to study its…

统计方法学 · 统计学 2011-12-07 Marco Scutari

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

人工智能 · 计算机科学 2020-09-01 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

While Bayesian neural networks (BNNs) hold the promise of being flexible, well-calibrated statistical models, inference often requires approximations whose consequences are poorly understood. We study the quality of common variational…

机器学习 · 统计学 2020-10-26 Andrew Y. K. Foong , David R. Burt , Yingzhen Li , Richard E. Turner

Network attacks have been very prevalent as their rate is growing tremendously. Both organization and individuals are now concerned about their confidentiality, integrity and availability of their critical information which are often…

机器学习 · 计算机科学 2020-08-07 MohammadNoor Injadat , Fadi Salo , Ali Bou Nassif , Aleksander Essex , Abdallah Shami

Deep Learning models are vulnerable to adversarial examples, i.e.\ images obtained via deliberate imperceptible perturbations, such that the model misclassifies them with high confidence. However, class confidence by itself is an incomplete…

机器学习 · 统计学 2017-11-23 Ambrish Rawat , Martin Wistuba , Maria-Irina Nicolae

Bayesian neural network models (BNN) have re-surged in recent years due to the advancement of scalable computations and its utility in solving complex prediction problems in a wide variety of applications. Despite the popularity and…

机器学习 · 统计学 2020-11-20 Shrijita Bhattacharya , Zihuan Liu , Tapabrata Maiti

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.…

机器学习 · 统计学 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

There is a fundamental limitation in the prediction performance that a machine learning model can achieve due to the inevitable uncertainty of the prediction target. In classification problems, this can be characterized by the Bayes error,…

机器学习 · 计算机科学 2023-03-14 Takashi Ishida , Ikko Yamane , Nontawat Charoenphakdee , Gang Niu , Masashi Sugiyama

Artificial Neural Networks are connectionist systems that perform a given task by learning on examples without having prior knowledge about the task. This is done by finding an optimal point estimate for the weights in every node.…

机器学习 · 计算机科学 2019-01-10 Kumar Shridhar , Felix Laumann , Marcus Liwicki

Bayesian inference promises a framework for principled uncertainty quantification of neural network predictions. Barriers to adoption include the difficulty of fully characterizing posterior distributions on network parameters and the…

机器学习 · 统计学 2025-01-22 Katharine Fisher , Youssef Marzouk

The problem of detecting the Out-of-Distribution (OoD) inputs is of paramount importance for Deep Neural Networks. It has been previously shown that even Deep Generative Models that allow estimating the density of the inputs may not be…

机器学习 · 统计学 2023-01-02 Misha Glazunov , Apostolis Zarras

Bayesian neural networks (BNNs) hold great promise as a flexible and principled solution to deal with uncertainty when learning from finite data. Among approaches to realize probabilistic inference in deep neural networks, variational Bayes…

Despite the dominant role of deep models in machine learning, limitations persist, including overconfident predictions, susceptibility to adversarial attacks, and underestimation of variability in predictions. The Bayesian paradigm provides…

机器学习 · 统计学 2025-06-18 Alisa Sheinkman , Sara Wade

Approximate Bayesian inference for neural networks is considered a robust alternative to standard training, often providing good performance on out-of-distribution data. However, Bayesian neural networks (BNNs) with high-fidelity…

机器学习 · 计算机科学 2021-12-07 Pavel Izmailov , Patrick Nicholson , Sanae Lotfi , Andrew Gordon Wilson
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