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Faithful uncertainty quantification (UQ) is paramount in high stakes climate prediction. Deep ensembles, or ensembles of probabilistic neural networks, are state of the art for UQ in machine learning (ML) and are growing increasingly…

Atmospheric and Oceanic Physics · Physics 2026-03-24 Devin M. McAfee , Elizabeth A. Barnes

Uncertainty quantification (UQ) is essential for assessing the reliability of Earth observation (EO) products. However, the extensive use of machine learning models in EO introduces an additional layer of complexity, as those models…

Machine Learning · Computer Science 2024-12-10 Yuanyuan Wang , Qian Song , Dawood Wasif , Muhammad Shahzad , Christoph Koller , Jonathan Bamber , Xiao Xiang Zhu

This review is designed to introduce mathematicians and computational scientists to quantum computing (QC) through the lens of uncertainty quantification (UQ) by presenting a mathematically rigorous and accessible narrative for…

Quantum Physics · Physics 2026-03-30 Ryan Bennink , Olena Burkovska , Konstantin Pieper , Jorge Ramirez , Elaine Wong

Uncertainty estimation is essential for enhancing the reliability of Large Language Models (LLMs), particularly in high-stakes applications. Existing methods often overlook semantic dependencies, relying on token-level probability measures…

Computation and Language · Computer Science 2025-09-10 Tuo Wang , Adithya Kulkarni , Tyler Cody , Peter A. Beling , Yujun Yan , Dawei Zhou

We describe a computational framework linking Uncertainty Quantification (UQ) methods for continuum problems depending on random parameters with Equation-Free (EF) methods for performing continuum deterministic numerics by acting directly…

Dynamical Systems · Mathematics 2007-05-23 Yu Zou , Ioannis G. Kevrekidis

Large language models (LLMs) often produce confident yet incorrect responses, and uncertainty quantification is one potential solution to more robust usage. Recent works routinely rely on self-consistency to estimate aleatoric uncertainty…

Artificial Intelligence · Computer Science 2026-04-21 Kimia Hamidieh , Veronika Thost , Walter Gerych , Mikhail Yurochkin , Marzyeh Ghassemi

With the rapid advancement of large language models (LLMs), discrete speech representations have become crucial for integrating speech into LLMs. Existing methods for speech representation discretization rely on a predefined codebook size…

Sound · Computer Science 2025-01-03 Linqin Wang , Yaping Liu , Zhengtao Yu , Shengxiang Gao , Cunli Mao , Yuxin Huang , Wenjun Wang , Ling Dong

We present $\Delta$-UQ -- a novel, general-purpose uncertainty estimator using the concept of anchoring in predictive models. Anchoring works by first transforming the input into a tuple consisting of an anchor point drawn from a prior…

Machine Learning · Computer Science 2021-10-06 Rushil Anirudh , Jayaraman J. Thiagarajan

Most uncertainty quantification (UQ) approaches provide a single scalar value as a measure of model reliability. However, different uncertainty measures could provide complementary information on the prediction confidence. Even measures…

As machine learning (ML) models are increasingly deployed in high-stakes domains, trustworthy uncertainty quantification (UQ) is critical for ensuring the safety and reliability of these models. Traditional UQ methods rely on specifying a…

Machine Learning · Statistics 2025-05-14 Abhineet Agarwal , Michael Xiao , Rebecca Barter , Omer Ronen , Boyu Fan , Bin Yu

Large language models (LLMs) often behave inconsistently across inputs, indicating uncertainty and motivating the need for its quantification in high-stakes settings. Prior work on calibration and uncertainty quantification often focuses on…

Machine Learning · Computer Science 2025-09-08 Maya Kruse , Majid Afshar , Saksham Khatwani , Anoop Mayampurath , Guanhua Chen , Yanjun Gao

Uncertainty Quantification (UQ) is essential for creating trustworthy machine learning models. Recent years have seen a steep rise in UQ methods that can flag suspicious examples, however, it is often unclear what exactly these methods…

Machine Learning · Computer Science 2023-10-31 Hao Sun , Boris van Breugel , Jonathan Crabbe , Nabeel Seedat , Mihaela van der Schaar

As Large Language Models (LLMs) are integrated into safety-critical applications involving sequential decision-making in the real world, it is essential to know when to trust LLM decisions. Existing LLM Uncertainty Quantification (UQ)…

Computation and Language · Computer Science 2025-06-24 Jinhao Duan , James Diffenderfer , Sandeep Madireddy , Tianlong Chen , Bhavya Kailkhura , Kaidi Xu

Uncertainty Quantification (UQ) for Natural Language Generation (NLG) is crucial for assessing the performance of Large Language Models (LLMs), as it reveals confidence in predictions, identifies failure modes, and gauges output…

Computation and Language · Computer Science 2025-04-09 Sean Wang , Yicheng Jiang , Yuxin Tang , Lu Cheng , Hanjie Chen

The Best Estimate plus Uncertainty (BEPU) approach for nuclear systems modeling and simulation requires that the prediction uncertainty must be quantified in order to prove that the investigated design stays within acceptance criteria. A…

Computation · Statistics 2023-03-24 Ziyu Xie , Farah Alsafadi , Xu Wu

The accessibility of spatially distributed data, enabled by affordable sensors, field, and numerical experiments, has facilitated the development of data-driven solutions for scientific problems, including climate change, weather…

Machine Learning · Computer Science 2023-11-09 Vardhan Dongre , Gurpreet Singh Hora

Uncertainty quantification (UQ) methods for large language models are predominantly designed by hand based on domain knowledge and heuristics, limiting their scalability and generality. We apply LLM-powered evolutionary search to…

Computation and Language · Computer Science 2026-04-07 Mikhail Seleznyov , Daniil Korbut , Viktor Moskvoretskii , Oleg Somov , Alexander Panchenko , Elena Tutubalina

In-context learning has emerged as a groundbreaking ability of Large Language Models (LLMs) and revolutionized various fields by providing a few task-relevant demonstrations in the prompt. However, trustworthy issues with LLM's response,…

Computation and Language · Computer Science 2024-04-01 Chen Ling , Xujiang Zhao , Xuchao Zhang , Wei Cheng , Yanchi Liu , Yiyou Sun , Mika Oishi , Takao Osaki , Katsushi Matsuda , Jie Ji , Guangji Bai , Liang Zhao , Haifeng Chen

Large language models (LLMs) are increasingly deployed in settings where the available context is incomplete or degraded. We argue that an LLM generating answers under incomplete context can be viewed as an implicit imputer, and evaluated…

Machine Learning · Statistics 2026-05-14 Stef van Buuren

Recent audio-aware large language models (ALLMs) have demonstrated strong capabilities across diverse audio understanding and reasoning tasks, but they still frequently produce hallucinated or overly confident outputs. While uncertainty…

Audio and Speech Processing · Electrical Eng. & Systems 2026-04-29 Chun-Yi Kuan , Wei-Ping Huang , Hung-yi Lee