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Standard deep learning methods, such as Ensemble Models, Bayesian Neural Networks and Quantile Regression Models provide estimates to prediction uncertainties for data-driven deep learning models. However, they can be limited in their…

A simple approach to obtaining uncertainty-aware neural networks for regression is to do Bayesian linear regression (BLR) on the representation from the last hidden layer. Recent work [Riquelme et al., 2018, Azizzadenesheli et al., 2018]…

Machine Learning · Computer Science 2019-12-17 John Moberg , Lennart Svensson , Juliano Pinto , Henk Wymeersch

Large language models (LLMs) are increasingly used as agents that interact with users and with the world. To do so successfully, LLMs must construct representations of the world and form probabilistic beliefs about them. To provide…

Computation and Language · Computer Science 2026-01-16 Linlu Qiu , Fei Sha , Kelsey Allen , Yoon Kim , Tal Linzen , Sjoerd van Steenkiste

Bayesian Neural Networks (BNNs) place priors over the parameters in a neural network. Inference in BNNs, however, is difficult; all inference methods for BNNs are approximate. In this work, we empirically compare the quality of predictive…

Machine Learning · Computer Science 2019-06-25 Jiayu Yao , Weiwei Pan , Soumya Ghosh , Finale Doshi-Velez

Deep learning (DL) has shown great potential in medical image enhancement problems, such as super-resolution or image synthesis. However, to date, little consideration has been given to uncertainty quantification over the output image. Here…

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

Deep Ensembles, as a type of Bayesian Neural Networks, can be used to estimate uncertainty on the prediction of multiple neural networks by collecting votes from each network and computing the difference in those predictions. In this paper,…

Machine Learning · Computer Science 2023-07-10 Illia Oleksiienko , Alexandros Iosifidis

Deep neural networks have achieved impressive results on a wide variety of tasks. However, quantifying uncertainty in the network's output is a challenging task. Bayesian models offer a mathematical framework to reason about model…

Machine Learning · Computer Science 2019-05-28 Manikanta Srikar Yellapragada , Chandra Prakash Konkimalla

Following the growing success of generative neural networks in LHC simulations, the crucial question is how to control the networks and assign uncertainties to their event output. We show how Bayesian normalizing flow or invertible networks…

High Energy Physics - Phenomenology · Physics 2022-12-07 Marco Bellagente , Manuel Haußmann , Michel Luchmann , Tilman Plehn

An in-depth understanding of uncertainty is the first step to making effective decisions under uncertainty. Deep/machine learning (ML/DL) has been hugely leveraged to solve complex problems involved with processing high-dimensional data.…

Artificial Intelligence · Computer Science 2022-06-15 Zhen Guo , Zelin Wan , Qisheng Zhang , Xujiang Zhao , Feng Chen , Jin-Hee Cho , Qi Zhang , Lance M. Kaplan , Dong H. Jeong , Audun Jøsang

Large language models (LLMs) are increasingly used to predict human behavior. We propose a measure for evaluating how much knowledge a pretrained LLM brings to such a prediction: its equivalent sample size, defined as the amount of…

Econometrics · Economics 2026-01-21 Wayne Gao , Sukjin Han , Annie Liang

Data-driven forecasts of air quality have recently achieved more accurate short-term predictions. Despite their success, most of the current data-driven solutions lack proper quantifications of model uncertainty that communicate how much to…

Machine Learning · Computer Science 2021-12-07 Abdulmajid Murad , Frank Alexander Kraemer , Kerstin Bach , Gavin Taylor

Bayesian Deep Learning (BDL) gives access not only to aleatoric uncertainty, as standard neural networks already do, but also to epistemic uncertainty, a measure of confidence a model has in its own predictions. In this article, we show…

Machine Learning · Statistics 2024-07-03 Mohammed Fellaji , Frédéric Pennerath

Deep unrolling is an emerging deep learning-based image reconstruction methodology that bridges the gap between model-based and purely deep learning-based image reconstruction methods. Although deep unrolling methods achieve…

Image and Video Processing · Electrical Eng. & Systems 2022-12-21 Canberk Ekmekci , Mujdat Cetin

Predicting bioactivity and physical properties of small molecules is a central challenge in drug discovery. Deep learning is becoming the method of choice but studies to date focus on mean accuracy as the main metric. However, to replace…

Machine Learning · Computer Science 2019-07-26 Yao Zhang , Alpha A. Lee

The recent advances in machine learning in various fields of applications can be largely attributed to the rise of deep learning (DL) methods and architectures. Despite being a key technology behind autonomous cars, image processing, speech…

Machine Learning · Computer Science 2023-07-06 Carsten Hartmann , Lorenz Richter

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

Deep directed generative models have attracted much attention recently due to their expressive representation power and the ability of ancestral sampling. One major difficulty of learning directed models with many latent variables is the…

Machine Learning · Computer Science 2015-06-16 Siqi Nie , Qiang Ji

Continual learning (CL) aims to train deep neural networks efficiently on streaming data while limiting the forgetting caused by new tasks. However, learning transferable knowledge with less interference between tasks is difficult, and…

Machine Learning · Computer Science 2023-10-31 Saurav Jha , Dong Gong , He Zhao , Lina Yao

Domain generalization is challenging due to the domain shift and the uncertainty caused by the inaccessibility of target domain data. In this paper, we address both challenges with a probabilistic framework based on variational Bayesian…

Machine Learning · Computer Science 2021-07-16 Zehao Xiao , Jiayi Shen , Xiantong Zhen , Ling Shao , Cees G. M. Snoek