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In this work, we introduce Entropy Area Score (EAS), a simple yet effective metric to quantify uncertainty in the answer generation process of reasoning large language models (LLMs). EAS requires neither external models nor repeated…

Artificial Intelligence · Computer Science 2025-08-29 Yongfu Zhu , Lin Sun , Guangxiang Zhao , Weihong Lin , Xiangzheng Zhang

Language models (LMs) are trained on billions of tokens in an attempt to recover the true language distribution. Still, vanilla random sampling from LMs yields low quality generations. Decoding algorithms attempt to restrict the LM…

Machine Learning · Computer Science 2026-01-06 Kareem Ahmed , Sameer Singh

Recently, Large Language Models (LLMs) have demonstrated outstanding performance across a wide range of downstream language tasks. Temperature sampling is a commonly used decoding strategy for LLMs' generation process. However, a fixed…

Computation and Language · Computer Science 2024-04-04 Shimao Zhang , Yu Bao , Shujian Huang

Large language models (LLMs) have demonstrated remarkable capabilities in generating programs from natural language descriptions, yet ensuring their correctness without an external oracle remains a critical challenge. To solve the…

Software Engineering · Computer Science 2026-04-07 Yunxiang Wei , Tianlin Li , Yuwei Zheng , Yanni Dong , Aishan Liu , Qiang Hu , Xiaoyu Zhang , Mingfei Cheng , Jian Yang

We propose a novel information-theoretic approach for Bayesian optimization called Predictive Entropy Search (PES). At each iteration, PES selects the next evaluation point that maximizes the expected information gained with respect to the…

Machine Learning · Statistics 2014-06-11 José Miguel Hernández-Lobato , Matthew W. Hoffman , Zoubin Ghahramani

Balanced and efficient information flow is essential for optimizing language generation models. In this work, we propose Entropy-UID, a new token selection method that balances entropy and Uniform Information Density (UID) principles for…

Computation and Language · Computer Science 2025-02-21 Xinpeng Shou

Modern language models (LMs) increasingly require two critical resources: computational resources and data resources. Data selection techniques can effectively reduce the amount of training data required for fine-tuning LMs. However, their…

Computation and Language · Computer Science 2026-02-20 Hongming Li , Yang Liu , Chao Huang

Effectively training Large Language Models (LLMs) for complex, long-CoT reasoning is often bottlenecked by the need for massive high-quality reasoning data. Existing methods are either computationally expensive or fail to reliably…

Computation and Language · Computer Science 2026-05-22 Xiaoyuan Li , Yubo Ma , Chengpeng Li , Fengbin Zhu , Yiyao Yu , Keqin Bao , Wenjie Wang , Fuli Feng , Dayiheng Liu

Sample selection improves the efficiency and effectiveness of machine learning models by providing informative and representative samples. Typically, samples can be modeled as a sample graph, where nodes are samples and edges represent…

Machine Learning · Computer Science 2025-03-04 Tianchi Xie , Jiangning Zhu , Guozu Ma , Minzhi Lin , Wei Chen , Weikai Yang , Shixia Liu

Large language models (LLMs) achieve remarkable generative performance, yet their output quality is dependent on the decoding strategy. While sampling-based methods (e.g., top-k, nucleus) and search-and-select based methods (e.g., beam…

Machine Learning · Computer Science 2026-05-12 Benjamin Patrick Evans , Sumitra Ganesh , Leo Ardon

The EM algorithm is a method for finding the maximum likelihood estimate of a model in the presence of missing data. Unfortunately, EM does not produce a parameter covariance matrix for standard errors. Supplemented EM (SEM; Meng & Rubin,…

Computation · Statistics 2016-05-04 Joshua N. Pritikin

Large language model pretraining is compute-intensive, yet many tokens contribute marginally to learning, resulting in inefficiency. We introduce Efficient Selective Language Modeling (ESLM), a risk-aware algorithm that improves training…

Machine Learning · Computer Science 2025-05-27 Melis Ilayda Bal , Volkan Cevher , Michael Muehlebach

With the rise of reasoning language models and test-time scaling methods as a paradigm for improving model performance, substantial computation is often required to generate multiple candidate sequences from the same prompt. This enables…

Machine Learning · Computer Science 2026-05-28 Daniel Scalena , Leonidas Zotos , Elisabetta Fersini , Malvina Nissim , Ahmet Üstün

The Equi-Energy Sampler (EES) introduced by Kou et al [2006] is based on a population of chains which are updated by local moves and global moves, also called equi-energy jumps. The state space is partitioned into energy rings, and the…

Methodology · Statistics 2012-03-05 Meili Baragatti , Agnès Grimaud , Denys Pommeret

Automated Essay Scoring (AES) is a cross-disciplinary effort involving Education, Linguistics, and Natural Language Processing (NLP). The efficacy of an NLP model in AES tests it ability to evaluate long-term dependencies and extrapolate…

Computation and Language · Computer Science 2021-03-01 Christopher M Ormerod , Akanksha Malhotra , Amir Jafari

Covariate balance is a conventional key diagnostic for methods used estimating causal effects from observational studies. Recently, there is an emerging interest in directly incorporating covariate balance in the estimation. We study a…

Methodology · Statistics 2017-02-14 Qingyuan Zhao , Daniel Percival

Controlling the length of generated text can be crucial in various text-generation tasks, including summarization. Existing methods often require complex model alterations, limiting compatibility with pre-trained models. We address these…

Computation and Language · Computer Science 2025-06-06 Zeno Belligoli , Emmanouil Stergiadis , Eran Fainman , Ilya Gusev

Entropy Search (ES) and Predictive Entropy Search (PES) are popular and empirically successful Bayesian Optimization techniques. Both rely on a compelling information-theoretic motivation, and maximize the information gained about the…

Machine Learning · Statistics 2018-08-06 Zi Wang , Stefanie Jegelka

The effective sample size (ESS) measures the informational value of a probability distribution in terms of an equivalent number of study participants. The ESS plays a crucial role in estimating the Expected Value of Sample Information…

Methodology · Statistics 2024-01-31 Linke Li , Hawre Jalal , Anna Heath

Quantifying the complexity and irregularity of time series data is a primary pursuit across various data-scientific disciplines. Sample entropy (SampEn) is a widely adopted metric for this purpose, but its reliability is sensitive to the…

Applications · Statistics 2024-05-13 Zachary Blanks , Donald E. Brown
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