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The choice of free parameters in network models is subjective, since it depends on what topological properties are being monitored. However, we show that the Maximum Likelihood (ML) principle indicates a unique, statistically rigorous…

Disordered Systems and Neural Networks · Physics 2008-08-07 Diego Garlaschelli , Maria I. Loffredo

Uncertainty quantification approaches have been more critical in large language models (LLMs), particularly high-risk applications requiring reliable outputs. However, traditional methods for uncertainty quantification, such as…

Artificial Intelligence · Computer Science 2024-07-01 Ferhat Ozgur Catak , Murat Kuzlu

The relaxed maximum entropy problem is concerned with finding a probability distribution on a finite set that minimizes the relative entropy to a given prior distribution, while satisfying relaxed max-norm constraints with respect to a…

Machine Learning · Computer Science 2013-11-08 Moshe Dubiner , Matan Gavish , Yoram Singer

When adapting ICL with or without fine-tuning, we are curious about whether the instruction-tuned language model is able to achieve well-calibrated results without suffering from the problem of overconfidence (i.e., miscalibration)…

Computation and Language · Computer Science 2025-05-23 Chengzu Li , Han Zhou , Goran Glavaš , Anna Korhonen , Ivan Vulić

Reliable uncertainty quantification (UQ) is essential for developing machine-learned interatomic potentials (MLIPs) in predictive atomistic simulations. Conformal prediction (CP) is a statistical framework that constructs prediction…

Chemical Physics · Physics 2025-10-02 Cheuk Hin Ho , Christoph Ortner , Yangshuai Wang

We study the feasibility of identifying epistemic uncertainty (reflecting a lack of knowledge), as opposed to aleatoric uncertainty (reflecting entropy in the underlying distribution), in the outputs of large language models (LLMs) over…

Machine Learning · Computer Science 2024-02-28 Gustaf Ahdritz , Tian Qin , Nikhil Vyas , Boaz Barak , Benjamin L. Edelman

Being able to reliably assess not only the \emph{accuracy} but also the \emph{uncertainty} of models' predictions is an important endeavour in modern machine learning. Even if the model generating the data and labels is known, computing the…

Machine Learning · Computer Science 2023-09-12 Lucas Clarté , Bruno Loureiro , Florent Krzakala , Lenka Zdeborová

Large language models are increasingly relied upon as sources of information, but their propensity for generating false or misleading statements with high confidence poses risks for users and society. In this paper, we confront the critical…

Decoding strategies manipulate the probability distribution underlying the output of a language model and can therefore affect both generation quality and its uncertainty. In this study, we investigate the impact of decoding strategies on…

Computation and Language · Computer Science 2025-09-23 Wataru Hashimoto , Hidetaka Kamigaito , Taro Watanabe

Neural language models have been widely used in various NLP tasks, including machine translation, next word prediction and conversational agents. However, it is challenging to deploy these models on mobile devices due to their slow…

Machine Learning · Computer Science 2018-10-31 Patrick H. Chen , Si Si , Sanjiv Kumar , Yang Li , Cho-Jui Hsieh

Hallucination remains a key obstacle to the reliable deployment of large language models (LLMs) in real-world question answering tasks. A widely adopted strategy to detect hallucination, known as self-assessment, relies on the model's own…

Artificial Intelligence · Computer Science 2025-06-04 Jinyuan Luo , Zhen Fang , Yixuan Li , Seongheon Park , Ling Chen

Large language models (LLMs) are increasingly deployed as multi-step decision-making agents, where effective reward design is essential for guiding learning. Although recent work explores various forms of reward shaping and step-level…

Machine Learning · Computer Science 2026-02-26 Dengjia Zhang , Xiaoou Liu , Lu Cheng , Yaqing Wang , Kenton Murray , Hua Wei

Uncertainty estimations for machine learning interatomic potentials (MLIPs) are crucial for quantifying model error and identifying informative training samples in active learning strategies. In this study, we evaluate uncertainty…

Machine Learning · Computer Science 2025-01-10 Matthias Holzenkamp , Dongyu Lyu , Ulrich Kleinekathöfer , Peter Zaspel

We show that a GPT-3 model can learn to express uncertainty about its own answers in natural language -- without use of model logits. When given a question, the model generates both an answer and a level of confidence (e.g. "90% confidence"…

Computation and Language · Computer Science 2022-06-14 Stephanie Lin , Jacob Hilton , Owain Evans

Scene Text Recognition requires modeling visual structures that evolve from coarse layouts to fine-grained character strokes. Training such models relies on large amounts of annotated data. Recent self-supervised approaches, such as Masked…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Zhuohao Chen , Zeng Li , Yifei Zhang , Chang Liu , Yu Zhou

Although language model scores are often treated as probabilities, their reliability as probability estimators has mainly been studied through calibration, overlooking other aspects. In particular, it is unclear whether language models…

Computation and Language · Computer Science 2024-10-01 Eitan Wagner , Yuli Slavutsky , Omri Abend

Transformer-based language models have set new benchmarks across a wide range of NLP tasks, yet reliably estimating the uncertainty of their predictions remains a significant challenge. Existing uncertainty estimation (UE) techniques often…

Machine Learning · Computer Science 2024-09-18 Elizaveta Kostenok , Daniil Cherniavskii , Alexey Zaytsev

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

With model trustworthiness being crucial for sensitive real-world applications, practitioners are putting more and more focus on improving the uncertainty calibration of deep neural networks. Calibration errors are designed to quantify the…

Machine Learning · Computer Science 2024-03-14 Sebastian G. Gruber , Florian Buettner

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