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The needs to assess robust performances for complex systems and to answer tighter regulatory processes (security, safety, environmental control, and health impacts, etc.) have led to the emergence of a new industrial simulation challenge:…

Computation · Statistics 2023-12-05 Michaël Baudin , Anne Dutfoy , Bertrand Iooss , Anne-Laure Popelin

Large language models (LLMs) have demonstrated remarkable capabilities across various tasks. However, these models could offer biased, hallucinated, or non-factual responses camouflaged by their fluency and realistic appearance. Uncertainty…

Computation and Language · Computer Science 2025-05-30 Zhiqiu Xia , Jinxuan Xu , Yuqian Zhang , Hang Liu

This note is a survey of Analysis on Metric spaces, in connection with the upcoming AMS Mathematics Research Communities program in June 2020.

Complex Variables · Mathematics 2023-12-12 Mario Bonk , Luca Capogna , Piotr Hajłasz , Nageswari Shanmugalingam , Jeremy T. Tyson

This document presents the contents of three lectures delivered by the author at the Erd\H{o}s Center School ``Optimal Transport on Quantum Structures'', Septemer 19-23, 2022 in Budapest, Hungary. It presents a fairly self contained account…

Mathematical Physics · Physics 2023-08-15 Eric Carlen

Deep Learning sets the state-of-the-art in many challenging tasks showing outstanding performance in a broad range of applications. Despite its success, it still lacks robustness hindering its adoption in medical applications. Modeling…

Computer Vision and Pattern Recognition · Computer Science 2019-09-19 Agnieszka Tomczack , Nassir Navab , Shadi Albarqouni

Model inadequacy and measurement uncertainty are two of the most confounding aspects of inference and prediction in quantitative sciences. The process of scientific inference (the inverse problem) and prediction (the forward problem)…

Data Analysis, Statistics and Probability · Physics 2017-11-30 Amir Shahmoradi

Uncertainty quantification enables users to assess the reliability of responses generated by large language models (LLMs). We present a novel Question Rephrasing technique to evaluate the input uncertainty of LLMs, which refers to the…

Computation and Language · Computer Science 2024-08-08 Zizhang Chen , Pengyu Hong , Sandeep Madireddy

We provide a brief review of the fundamentals of quantum computation and quantum error correction for the participants of the first Quantum Information Knowledge (QuIK) workshop at the 2024 IEEE International Symposium on Information Theory…

Quantum Physics · Physics 2024-07-18 Priya J. Nadkarni , Narayanan Rengaswamy , Bane Vasić

Aleatoric (data) and epistemic (knowledge) uncertainty are textbook components of Uncertainty Quantification. Jointly estimating these components has been shown to be problematic and non-trivial. As a result, there are multiple ways to…

Machine Learning · Computer Science 2026-02-12 Ivo Pascal de Jong , Andreea Ioana Sburlea , Matthia Sabatelli , Matias Valdenegro-Toro

Measurement uncertainty is key to assessing, stating and improving the reliability of measurements. An understanding of measurement uncertainty is the basis for confidence in measurements and is required by many communities; among others in…

Physics Education · Physics 2024-12-30 Katy Klauenberg , Peter Harris , Philipp Möhrke , Francesca Pennecchi

In this paper, we study a suitable experimental design of electrochemical impedance spectroscopy (EIS) to reduce the number of frequency points while not significantly affecting the uncertainties of the estimated cell's equivalent circuit…

Systems and Control · Electrical Eng. & Systems 2025-01-13 Vladimir Sovljanski , Mario Paolone , Sylvain Tant , Damien Pierre Sainflou

Semi-supervised learning is attracting blooming attention, due to its success in combining unlabeled data. To mitigate potentially incorrect pseudo labels, recent frameworks mostly set a fixed confidence threshold to discard uncertain…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Lihe Yang , Zhen Zhao , Lei Qi , Yu Qiao , Yinghuan Shi , Hengshuang Zhao

We evaluate uncertainty calculations in the calstis pipeline for data in the low-count regime. Due to the low dark rate and read-noise free nature of MAMA detectors, observations of UV-dim sources can result in exposures with 0 or 1 counts…

Instrumentation and Methods for Astrophysics · Physics 2026-01-28 Joshua D. Lothringer , Leonardo dos Santos , Joleen Carlberg , Sean Lockwood , Jacqueline Brown

Sources of uncertainty are reviewed for calculated atomic and molecular data that are important for plasma modeling: atomic and molecular structure and cross sections for electron-atom, electron-molecule, and heavy particle collisions. We…

Rigorous statistical methods, including parameter estimation with accompanying uncertainties, underpin the validity of scientific discovery, especially in the natural sciences. With increasingly complex data models such as deep learning…

Machine Learning · Computer Science 2026-02-18 Aurora Grefsrud , Nello Blaser , Trygve Buanes

Accurately quantifying uncertainty in large language models (LLMs) is crucial for their reliable deployment, especially in high-stakes applications. Current state-of-the-art methods for measuring semantic uncertainty in LLMs rely on strict…

Machine Learning · Computer Science 2024-10-31 Yashvir S. Grewal , Edwin V. Bonilla , Thang D. Bui

The calibration of predictive distributions has been widely studied in deep learning, but the same cannot be said about the more specific epistemic uncertainty as produced by Deep Ensembles, Bayesian Deep Networks, or Evidential Deep…

Machine Learning · Computer Science 2024-07-18 Mohammed Fellaji , Frédéric Pennerath , Brieuc Conan-Guez , Miguel Couceiro

Recent advances in machine learning have significantly improved prediction accuracy in various applications. However, ensuring the calibration of probabilistic predictions remains a significant challenge. Despite efforts to enhance model…

Machine Learning · Statistics 2025-08-05 Yan Sun , Pratik Chaudhari , Ian J. Barnett , Edgar Dobriban

Collection of manuscripts accepted for presentation at the Student Forum and Fast Abstracts tracks of the 17th European Dependable Computing Conference (EDCC 2021).

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-06 Marcello Cinque , Barbara Gallina

Time serie classification is used in a diverse range of domain such as meteorology, medicine and physics. It aims to classify chronological data. Many accurate approaches have been built during the last decade and shapelet transformation is…

Machine Learning · Computer Science 2019-12-20 Michael Mbouopda , Engelbert Mephu Nguifo