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In scientific applications, there often are several competing models that could be fit to the observed data, so quantification of the model uncertainty is of fundamental importance. In this paper, we develop an inferential model (IM)…

Statistics Theory · Mathematics 2016-06-07 Ryan Martin , Huiping Xu , Zuoyi Zhang , Chuanhai Liu

This paper considers the generation of prediction intervals (PIs) by neural networks for quantifying uncertainty in regression tasks. It is axiomatic that high-quality PIs should be as narrow as possible, whilst capturing a specified…

Machine Learning · Statistics 2019-04-10 Tim Pearce , Mohamed Zaki , Alexandra Brintrup , Andy Neely

Confidence estimation, a task that aims to evaluate the trustworthiness of the model's prediction output during deployment, has received lots of research attention recently, due to its importance for the safe deployment of deep models.…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Haoxuan Qu , Yanchao Li , Lin Geng Foo , Jason Kuen , Jiuxiang Gu , Jun Liu

Calibration, the practice of choosing the parameters of a structural model to match certain empirical moments, can be viewed as minimum distance estimation. Existing standard error formulas for such estimators require a consistent estimate…

Econometrics · Economics 2024-06-19 Matthew D. Cocci , Mikkel Plagborg-Møller

Simulation models often have parameters as input and return outputs to understand the behavior of complex systems. Calibration is the process of estimating the values of the parameters in a simulation model in light of observed data from…

Methodology · Statistics 2024-11-15 Özge Sürer

As large language models continue to be widely developed, robust uncertainty quantification techniques will become crucial for their safe deployment in high-stakes scenarios. In this work, we explore how conformal prediction can be used to…

Computation and Language · Computer Science 2023-07-11 Bhawesh Kumar , Charlie Lu , Gauri Gupta , Anil Palepu , David Bellamy , Ramesh Raskar , Andrew Beam

Reliable confidence estimation for the predictions is important in many safety-critical applications. However, modern deep neural networks are often overconfident for their incorrect predictions. Recently, many calibration methods have been…

Machine Learning · Computer Science 2023-03-07 Fei Zhu , Zhen Cheng , Xu-Yao Zhang , Cheng-Lin Liu

Handling missing data is a central challenge in data-driven analysis. Modern imputation methods not only aim for accurate reconstruction but also differ in how they represent and quantify uncertainty. Yet, the reliability and calibration of…

Databases · Computer Science 2025-11-27 Zarin Tahia Hossain , Mostafa Milani

Accurate estimation of uncertainty in deep learning is critical for deploying models in high-stakes domains such as medical diagnosis and autonomous decision-making, where overconfident predictions can lead to harmful outcomes. In practice,…

Machine Learning · Computer Science 2026-03-12 Xinran Xu , Xiuyi Fan

Neural networks make accurate predictions but often fail to provide reliable uncertainty estimates, especially under covariate distribution shifts between training and testing. To address this problem, we propose a Bayesian framework for…

Machine Learning · Statistics 2025-12-22 Yuli Slavutsky , David M. Blei

Most estimators collapse all uncertainty modes into a single confidence score, preventing reliable reasoning about when to allocate more compute or adjust inference. We introduce Uncertainty-Guided Inference-Time Selection, a lightweight…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Divake Kumar , Patrick Poggi , Sina Tayebati , Devashri Naik , Nilesh Ahuja , Amit Ranjan Trivedi

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

Ordinary differential equation models are nowadays widely used for the mechanistic description of biological processes and their temporal evolution. These models typically have many unknown and non-measurable parameters, which have to be…

Quantitative Methods · Quantitative Biology 2021-05-27 Alejandro F. Villaverde , Dilan Pathirana , Fabian Fröhlich , Jan Hasenauer , Julio R. Banga

The use of AI systems in healthcare for the early screening of diseases is of great clinical importance. Deep learning has shown great promise in medical imaging, but the reliability and trustworthiness of AI systems limit their deployment…

Image and Video Processing · Electrical Eng. & Systems 2023-05-17 Ke Zou , Zhihao Chen , Xuedong Yuan , Xiaojing Shen , Meng Wang , Huazhu Fu

It is highly desirable to know how uncertain a model's predictions are, especially for models that are complex and hard to understand as in deep learning. Although there has been a growing interest in using deep learning methods in…

Machine Learning · Computer Science 2024-08-28 Davood Karimi , Simon K. Warfield , Ali Gholipour

Improving calibration performance in deep learning (DL) classification models is important when planning the use of DL in a decision-support setting. In such a scenario, a confident wrong prediction could lead to a lack of trust and/or harm…

Machine Learning · Computer Science 2024-05-13 Tareen Dawood , Bram Ruijsink , Reza Razavi , Andrew P. King , Esther Puyol-Antón

We address the problem of uncertainty calibration. While standard deep neural networks typically yield uncalibrated predictions, calibrated confidence scores that are representative of the true likelihood of a prediction can be achieved…

Machine Learning · Computer Science 2021-06-24 Christian Tomani , Sebastian Gruber , Muhammed Ebrar Erdem , Daniel Cremers , Florian Buettner

Deep learning has revolutionized modern data science. However, how to accurately quantify the uncertainty of predictions from large-scale deep neural networks (DNNs) remains an unresolved issue. To address this issue, we introduce a novel…

Machine Learning · Statistics 2025-08-05 Yan Sun , Faming Liang

Robust optimization has been established as a leading methodology to approach decision problems under uncertainty. To derive a robust optimization model, a central ingredient is to identify a suitable model for uncertainty, which is called…

Optimization and Control · Mathematics 2021-09-10 Marc Goerigk , Jannis Kurtz

Reasoning language models have set state-of-the-art (SOTA) records on many challenging benchmarks, enabled by multi-step reasoning induced using reinforcement learning. However, like previous language models, reasoning models are prone to…

Artificial Intelligence · Computer Science 2025-07-21 Zhiting Mei , Christina Zhang , Tenny Yin , Justin Lidard , Ola Shorinwa , Anirudha Majumdar
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