English
Related papers

Related papers: Uncertainty quantification in the Bradley-Terry-Lu…

200 papers

Probabilistic forecasting estimates the likelihood of uncertain future events. To improve LLM forecasting, existing methods typically learn from binary outcomes to output verbalized forecasts. However, while aggregated human forecasts…

Machine Learning · Computer Science 2026-05-28 Hui Dai , Ryan Teehan , Parsa Torabian , Mengye Ren

Large Language Models (LLMs) are increasingly employed in real-world applications, driving the need to evaluate the trustworthiness of their generated text. To this end, reliable uncertainty estimation is essential. Leading uncertainty…

Machine Learning · Computer Science 2026-04-21 Lukas Aichberger , Kajetan Schweighofer , Sepp Hochreiter

Uncertainty quantification is an important task in machine learning - a task in which standardneural networks (NNs) have traditionally not excelled. This can be a limitation for safety-critical applications, where uncertainty-aware methods…

Machine Learning · Computer Science 2024-01-05 Felix Fiedler , Sergio Lucia

Hallucination in large language models (LLMs) can be detected by assessing the uncertainty of model outputs, typically measured using entropy. Semantic entropy (SE) enhances traditional entropy estimation by quantifying uncertainty at the…

Machine Learning · Computer Science 2025-06-03 Dang Nguyen , Ali Payani , Baharan Mirzasoleiman

As large language models (LLMs) continue to evolve, understanding and quantifying the uncertainty in their predictions is critical for enhancing application credibility. However, the existing literature relevant to LLM uncertainty…

Computation and Language · Computer Science 2024-10-22 Hsiu-Yuan Huang , Yutong Yang , Zhaoxi Zhang , Sanwoo Lee , Yunfang Wu

Uncertainty estimation is critical for cost-sensitive deep-learning applications (i.e. disease diagnosis). It is very challenging partly due to the inaccessibility of uncertainty groundtruth in most datasets. Previous works proposed to…

Machine Learning · Computer Science 2021-10-18 Bolian Li , Zige Zheng , Changqing Zhang

Uncertainty quantification is one of the most crucial tasks to obtain trustworthy and reliable machine learning models for decision making. However, most research in this domain has only focused on problems with small label spaces and…

Machine Learning · Computer Science 2022-10-20 Jyun-Yu Jiang , Wei-Cheng Chang , Jiong Zhong , Cho-Jui Hsieh , Hsiang-Fu Yu

To facilitate robust and trustworthy deployment of large language models (LLMs), it is essential to quantify the reliability of their generations through uncertainty estimation. While recent efforts have made significant advancements by…

Computation and Language · Computer Science 2025-07-22 Rui Li , Jing Long , Muge Qi , Heming Xia , Lei Sha , Peiyi Wang , Zhifang Sui

Under label shift, the label distribution p(y) might change but the class-conditional distributions p(x|y) do not. There are two dominant approaches for estimating the label marginal. BBSE, a moment-matching approach based on confusion…

Machine Learning · Computer Science 2020-10-20 Saurabh Garg , Yifan Wu , Sivaraman Balakrishnan , Zachary C. Lipton

Rankings and ratings are commonly used to express preferences but provide distinct and complementary information. Rankings give ordinal and scale-free comparisons but lack granularity; ratings provide cardinal and granular assessments but…

Methodology · Statistics 2023-01-25 Michael Pearce , Elena A. Erosheva

The problem of nonlinear functional of parameters, such as differential entropy, has received much attention in information theory and statistics. In many situations, prior information about the parameters is available in the form of order…

Statistics Theory · Mathematics 2026-03-10 Somnath Mandal , Lakshmi Kanta Patra

Joint maximum likelihood (JML) estimation is one of the earliest approaches to fitting item response theory (IRT) models. This procedure treats both the item and person parameters as unknown but fixed model parameters and estimates them…

Methodology · Statistics 2019-06-17 Yunxiao Chen , Xiaoou Li , Siliang Zhang

The maximum likelihood estimator (MLE) is pivotal in statistical inference, yet its application is often hindered by the absence of closed-form solutions for many models. This poses challenges in real-time computation scenarios,…

Methodology · Statistics 2025-04-16 Pedro L. Ramos , Eduardo Ramos , Francisco A. Rodrigues , Francisco Louzada

Opinion dynamics models such as the bounded confidence models (BCMs) describe how a population can reach consensus, fragmentation, or polarization, depending on a few parameters. Connecting such models to real-world data could help…

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

In medical diagnostics, accurate uncertainty estimation for neural-based models is essential for complementing second-opinion systems. Despite neural network ensembles' proficiency in this problem, a gap persists between actual…

Computer Vision and Pattern Recognition · Computer Science 2024-07-17 Ekaterina Zaychenkova , Dmitrii Iarchuk , Sergey Korchagin , Alexey Zaitsev , Egor Ershov

We benchmark the robustness of maximum likelihood based uncertainty estimation methods to outliers in training data for regression tasks. Outliers or noisy labels in training data results in degraded performances as well as incorrect…

Machine Learning · Computer Science 2022-02-09 Deebul S. Nair , Nico Hochgeschwender , Miguel A. Olivares-Mendez

The maximum-likelihood estimator of nonlinear panel data models with fixed effects is consistent but asymptotically-biased under rectangular-array asymptotics. The literature has thus far concentrated its effort on devising methods to…

Econometrics · Economics 2022-01-28 Ayden Higgins , Koen Jochmans

This paper develops several interesting, significant, and interconnected approaches to nonparametric or semi-parametric statistical inferences. The overwhelmingly favoured maximum likelihood estimator (MLE) under parametric model is…

Statistics Theory · Mathematics 2023-03-30 Haodi Liang , Jiahua Chen

The asymptotic normality of the Maximum Likelihood Estimator (MLE) is a cornerstone of statistical theory. In the present paper, we provide sharp explicit upper bounds on Zolotarev-type distances between the exact, unknown distribution of…

Statistics Theory · Mathematics 2016-04-19 Andreas Anastasiou , Christophe Ley