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Bayesian modelling allows for the quantification of predictive uncertainty which is crucial in safety-critical applications. Yet for many machine learning (ML) algorithms, it is difficult to construct or implement their Bayesian…

Machine Learning · Statistics 2024-10-22 Ziyu Wang , Chris Holmes

The vulnerability of machine learning models to adversarial attacks remains a critical security challenge. Traditional defenses, such as adversarial training, typically robustify models by minimizing a worst-case loss. However, these…

Machine Learning · Statistics 2025-10-13 Pablo G. Arce , Roi Naveiro , David Ríos Insua

Deep Bayesian neural network has aroused a great attention in recent years since it combines the benefits of deep neural network and probability theory. Because of this, the network can make predictions and quantify the uncertainty of the…

Machine Learning · Computer Science 2019-03-25 Yikuan Li , Yajie Zhu

Accurate uncertainty estimates are important in sequential model-based decision-making tasks such as Bayesian optimization. However, these estimates can be imperfect if the data violates assumptions made by the model (e.g., Gaussianity).…

Machine Learning · Computer Science 2024-06-27 Shachi Deshpande , Charles Marx , Volodymyr Kuleshov

Accurately estimating uncertainties in neural network predictions is of great importance in building trusted DNNs-based models, and there is an increasing interest in providing accurate uncertainty estimation on many tasks, such as security…

Machine Learning · Computer Science 2020-07-14 Yukun Ding , Jinglan Liu , Jinjun Xiong , Yiyu Shi

Bayesian optimization is a coherent, ubiquitous approach to decision-making under uncertainty, with applications including multi-arm bandits, active learning, and black-box optimization. Bayesian optimization selects decisions (i.e.…

Machine Learning · Computer Science 2023-12-13 Samuel Stanton , Wesley Maddox , Andrew Gordon Wilson

Background: Clinical prediction models for a health condition are commonly evaluated regarding performance for a population, although decisions are made for individuals. The classic view relates uncertainty in risk estimates for individuals…

A Bayesian treatment of deep learning allows for the computation of uncertainties associated with the predictions of deep neural networks. We show how the concept of Errors-in-Variables can be used in Bayesian deep regression to also…

Machine Learning · Computer Science 2023-05-15 Jörg Martin , Clemens Elster

Methods for reasoning under uncertainty are a key building block of accurate and reliable machine learning systems. Bayesian methods provide a general framework to quantify uncertainty. However, because of model misspecification and the use…

Machine Learning · Computer Science 2018-07-03 Volodymyr Kuleshov , Nathan Fenner , Stefano Ermon

Count outcomes in longitudinal studies are frequent in clinical and engineering studies. In frequentist and Bayesian statistical analysis, methods such as Mixed linear models allow the variability or correlation within individuals to be…

Methodology · Statistics 2024-07-15 Alejandra Estefanía Patiño Hoyos , Johnatan Cardona Jiménez

There are two major types of uncertainty one can model. Aleatoric uncertainty captures noise inherent in the observations. On the other hand, epistemic uncertainty accounts for uncertainty in the model -- uncertainty which can be explained…

Computer Vision and Pattern Recognition · Computer Science 2017-10-06 Alex Kendall , Yarin Gal

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

Applying a machine learning model for decision-making in the real world requires to distinguish what the model knows from what it does not. A critical factor in assessing the knowledge of a model is to quantify its predictive uncertainty.…

Machine Learning · Computer Science 2023-11-15 Kajetan Schweighofer , Lukas Aichberger , Mykyta Ielanskyi , Sepp Hochreiter

Despite the promise of Convolutional neural network (CNN) based classification models for histopathological images, it is infeasible to quantify its uncertainties. Moreover, CNNs may suffer from overfitting when the data is biased. We show…

Computer Vision and Pattern Recognition · Computer Science 2021-11-09 Ponkrshnan Thiagarajan , Pushkar Khairnar , Susanta Ghosh

The usual figure of merit characterizing the performance of neural networks applied to problems in the quantum domain is their accuracy, being the probability of a correct answer on a previously unseen input. Here we append this parameter…

Quantum Physics · Physics 2022-12-29 Jan Wasilewski , Tomasz Paterek , Karol Horodecki

Effective intervention strategies for epidemics rely on the identification of their origin and on the robustness of the predictions made by network disease models. We introduce a Bayesian uncertainty quantification framework to infer model…

Populations and Evolution · Quantitative Biology 2020-04-02 Karen Larson , Clark Bowman , Zhizhong Chen , Panagiotis Hadjidoukas , Costas Papadimitriou , Petros Koumoutsakos , Anastasios Matzavinos

Bayesian inference allows machine learning models to express uncertainty. Current machine learning models use only a single learnable parameter combination when making predictions, and as a result are highly overconfident when their…

Machine Learning · Computer Science 2022-02-23 Andrew Wood , Moshik Hershcovitch , Daniel Waddington , Sarel Cohen , Peter Chin

Quantifying uncertainty and updating reliability are essential for ensuring the safety and performance of engineering systems. This study develops a hierarchical Bayesian modeling (HBM) framework to quantify uncertainty and update…

Methodology · Statistics 2024-12-31 Xinyu Jia , Weinan Hou , Costas Papadimitriou

Determining the extent to which a patient is benefiting from cancer therapy is challenging. Criteria for quantifying the extent of "tumor response" observed within a few cycles of treatment have been established for various types of solid…

Methodology · Statistics 2020-09-18 Jie Zhou , Xun Jiang , H. Amy Xia , Peng Wei , Brian P. Hobbs

Accurate image registration is essential in many medical imaging applications, yet most deep registration networks provide little indication of when or where their predictions are unreliable. Existing uncertainty estimation approaches, such…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Lin Tian , Xiaoling Hu , Juan Eugenio Iglesias
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