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In a Bayesian setting, inverse problems and uncertainty quantification (UQ) --- the propagation of uncertainty through a computational (forward) model --- are strongly connected. In the form of conditional expectation the Bayesian update…

Multifidelity uncertainty quantification (MF UQ) sampling approaches have been shown to significantly reduce the variance of statistical estimators while preserving the bias of the highest-fidelity model, provided that the low-fidelity…

Data Analysis, Statistics and Probability · Physics 2023-08-16 Xiaoshu Zeng , Gianluca Geraci , Michael S. Eldred , John D. Jakeman , Alex A. Gorodetsky , Roger Ghanem

Deploying black-box LLMs requires managing uncertainty in the absence of token-level probability or true labels. We propose introducing an unsupervised conformal inference framework for generation, which integrates: generative models,…

Machine Learning · Statistics 2025-09-30 Lingyou Pang , Lei Huang , Jianyu Lin , Tianyu Wang , Akira Horiguchi , Alexander Aue , Carey E. Priebe

This paper addresses the challenge of model uncertainty in quantitative finance, where decisions in portfolio allocation, derivative pricing, and risk management rely on estimating stochastic models from limited data. In practice, the…

Computational Finance · Quantitative Finance 2025-06-10 Hans Buehler , Blanka Horvath , Yannick Limmer , Thorsten Schmidt

The introduction of the Segment Anything Model (SAM) has paved the way for numerous semantic segmentation applications. For several tasks, quantifying the uncertainty of SAM is of particular interest. However, the ambiguous nature of the…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Timo Kaiser , Thomas Norrenbrock , Bodo Rosenhahn

In numerous inverse problems, state-of-the-art solving strategies involve training neural networks from ground truth and associated measurement datasets that, however, may be expensive or impossible to collect. Recently, self-supervised…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-25 Victor Sechaud , Laurent Jacques , Patrice Abry , Julián Tachella

This work addresses image restoration tasks through the lens of inverse problems using unpaired datasets. In contrast to traditional approaches -- which typically assume full knowledge of the forward model or access to paired degraded and…

Computer Vision and Pattern Recognition · Computer Science 2025-06-18 Giacomo Meanti , Thomas Ryckeboer , Michael Arbel , Julien Mairal

With the increased use of data-driven approaches and machine learning-based methods in material science, the importance of reliable uncertainty quantification (UQ) of the predicted variables for informed decision-making cannot be…

Machine Learning · Computer Science 2024-05-15 Longze Li , Jiang Chang , Aleksandar Vakanski , Yachun Wang , Tiankai Yao , Min Xian

Self-supervised methods have emerged as a promising avenue for representation learning in the recent years since they alleviate the need for labeled datasets, which are scarce and expensive to acquire. Contrastive methods are a popular…

Sound · Computer Science 2022-09-07 Elio Quinton

Uncertainty quantification (UQ) is essential for deploying machine learning models in safety-critical physical systems, yet classical Bayesian approaches incur substantial computational overhead. We establish a formal connection between…

Super-resolution (SR) of satellite imagery is challenging due to the lack of paired low-/high-resolution data. Recent self-supervised SR methods overcome this limitation by exploiting the temporal redundancy in burst observations, but they…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Zhe Zheng , Valéry Dewil , Pablo Arias

Due to the importance of uncertainty quantification (UQ), Bayesian approach to inverse problems has recently gained popularity in applied mathematics, physics, and engineering. However, traditional Bayesian inference methods based on Markov…

Computation · Statistics 2022-04-26 Shiwei Lan , Shuyi Li , Babak Shahbaba

Despite the increasing demand for safer machine learning practices, the use of Uncertainty Quantification (UQ) methods in production remains limited. This limitation is exacerbated by the challenge of validating UQ methods in absence of UQ…

Machine Learning · Computer Science 2025-03-03 Arthur Pignet , Chiara Regniez , John Klein

Quantitative susceptibility mapping (QSM) utilizes MRI signal phase to estimate local tissue susceptibility, which has been shown useful to provide novel image contrast and as biomarkers of abnormal tissue. QSM requires addressing a…

Medical Physics · Physics 2019-06-03 Juan Liu , Kevin M. Koch

Artificial intelligence(AI)-assisted method had received much attention in the risk field such as disease diagnosis. Different from the classification of disease types, it is a fine-grained task to classify the medical images as benign or…

Computer Vision and Pattern Recognition · Computer Science 2022-06-10 Shuang Ge , Kehong Yuan , Maokun Han , Desheng Sun , Huabin Zhang , Qiongyu Ye

Large language models (LLMs) exhibit impressive fluency, but often produce critical errors known as "hallucinations". Uncertainty quantification (UQ) methods are a promising tool for coping with this fundamental shortcoming. Yet, existing…

Uncertainty Quantification (UQ) has gained traction in an attempt to improve the interpretability and robustness of machine learning predictions. Specifically (medical) biosignals such as electroencephalography (EEG), electrocardiography…

Signal Processing · Electrical Eng. & Systems 2025-06-06 Ivo Pascal de Jong , Andreea Ioana Sburlea , Matias Valdenegro-Toro

Uncertainty Quantification (UQ) is pivotal in enhancing the robustness, reliability, and interpretability of Machine Learning (ML) systems for healthcare, optimizing resources and improving patient care. Despite the emergence of ML-based…

Machine Learning · Computer Science 2025-05-07 L. Julián Lechuga López , Shaza Elsharief , Dhiyaa Al Jorf , Firas Darwish , Congbo Ma , Farah E. Shamout

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

Conformal prediction is widely used to equip black-box machine learning models with uncertainty quantification, offering formal coverage guarantees under exchangeable data. However, these guarantees fail when faced with subpopulation…

Machine Learning · Computer Science 2025-11-10 Nien-Shao Wang , Duygu Nur Yaldiz , Yavuz Faruk Bakman , Sai Praneeth Karimireddy