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Deep learning models are being adopted and applied on various critical decision-making tasks, yet they are trained to provide point predictions without providing degrees of confidence. The trustworthiness of deep learning models can be…

Machine Learning · Computer Science 2024-10-28 Daniel Nolte , Souparno Ghosh , Ranadip Pal

Uncertainty quantification is crucial in time series prediction, and quantile regression offers a valuable mechanism for uncertainty quantification which is useful for extreme value forecasting. Although deep learning models have been…

Machine Learning · Computer Science 2024-11-26 Jimmy Cheung , Smruthi Rangarajan , Amelia Maddocks , Xizhe Chen , Rohitash Chandra

Uncertainty quantification in deep learning is crucial for safe and reliable decision-making in downstream tasks. Existing methods quantify uncertainty at the last layer or other approximations of the network which may miss some sources of…

Machine Learning · Statistics 2025-04-25 James McInerney , Nathan Kallus

Uncertainty quantification is crucial for building reliable and trustable machine learning systems. We propose to estimate uncertainty in recurrent neural networks (RNNs) via stochastic discrete state transitions over recurrent timesteps.…

Machine Learning · Computer Science 2020-11-25 Cheng Wang , Carolin Lawrence , Mathias Niepert

Computational imaging plays a pivotal role in determining hidden information from sparse measurements. A robust inverse solver is crucial to fully characterize the uncertainty induced by these measurements, as it allows for the estimation…

Computer Vision and Pattern Recognition · Computer Science 2023-11-17 Sirui Bi , Victor Fung , Jiaxin Zhang

Computer vision leveraging deep learning has achieved significant success in the last decade. Despite the promising performance of the existing deep models in the recent literature, the extent of models' reliability remains unknown.…

Computer Vision and Pattern Recognition · Computer Science 2020-04-13 Seyed Omid Sajedi , Xiao Liang

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

Most machine learning techniques are based upon statistical learning theory, often simplified for the sake of computing speed. This paper is focused on the uncertainty aspect of mathematical modeling in machine learning. Regression analysis…

Machine Learning · Computer Science 2022-06-07 Valentin Arkov

While neural networks have demonstrated impressive performance across various tasks, accurately quantifying uncertainty in their predictions is essential to ensure their trustworthiness and enable widespread adoption in critical systems.…

Machine Learning · Statistics 2025-11-11 Joseph Wilson , Chris van der Heide , Liam Hodgkinson , Fred Roosta

Uncertainty estimation is an essential and heavily-studied component for the reliable application of semantic segmentation methods. While various studies exist claiming methodological advances on the one hand, and successful application on…

Computer Vision and Pattern Recognition · Computer Science 2024-05-06 Kim-Celine Kahl , Carsten T. Lüth , Maximilian Zenk , Klaus Maier-Hein , Paul F. Jaeger

Cognitive diagnosis models have been widely used in different areas, especially intelligent education, to measure users' proficiency levels on knowledge concepts, based on which users can get personalized instructions. As the measurement is…

Computers and Society · Computer Science 2024-03-25 Fei Wang , Qi Liu , Enhong Chen , Chuanren Liu , Zhenya Huang , Jinze Wu , Shijin Wang

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

Neural Networks (NNs) have been extensively used for a wide spectrum of real-world regression tasks, where the goal is to predict a numerical outcome such as revenue, effectiveness, or a quantitative result. In many such tasks, the point…

Machine Learning · Computer Science 2020-06-05 Xin Qiu , Elliot Meyerson , Risto Miikkulainen

In inverse problems, uncertainty quantification (UQ) deals with a probabilistic description of the solution nonuniqueness and data noise sensitivity. Setting seismic imaging into a Bayesian framework allows for a principled way of studying…

Geophysics · Physics 2020-04-16 Ali Siahkoohi , Gabrio Rizzuti , Felix J. Herrmann

We show that training a deep network using batch normalization is equivalent to approximate inference in Bayesian models. We further demonstrate that this finding allows us to make meaningful estimates of the model uncertainty using…

Machine Learning · Statistics 2018-07-17 Mattias Teye , Hossein Azizpour , Kevin Smith

In this paper, we adopt conformal prediction, a distribution-free uncertainty quantification (UQ) framework, to obtain confidence prediction intervals with coverage guarantees for Deep Operator Network (DeepONet) regression. Initially, we…

Machine Learning · Computer Science 2024-02-26 Christian Moya , Amirhossein Mollaali , Zecheng Zhang , Lu Lu , Guang Lin

Regression methods are fundamental for scientific and technological applications. However, fitted models can be highly unreliable outside of their training domain, and hence the quantification of their uncertainty is crucial in many of…

Machine Learning · Statistics 2024-03-05 Filippo Bigi , Sanggyu Chong , Michele Ceriotti , Federico Grasselli

While standard approaches to optimisation focus on producing a single high-performing solution, Quality-Diversity (QD) algorithms allow large diverse collections of such solutions to be found. If QD has proven promising across a large…

Neural and Evolutionary Computing · Computer Science 2023-04-27 Manon Flageat , Luca Grillotti , Antoine Cully

We show that ensembles of deep neural networks, called deep ensembles, can be used to perform quantum parameter estimation while also providing a means for quantifying uncertainty in parameter estimates, which is a key advantage of using…

Quantum Physics · Physics 2026-03-09 Amanuel Anteneh

Modern Large Language Models (LLMs) often require external tools, such as machine learning classifiers or knowledge retrieval systems, to provide accurate answers in domains where their pre-trained knowledge is insufficient. This…

Machine Learning · Computer Science 2025-05-23 Panagiotis Lymperopoulos , Vasanth Sarathy