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Mitigating hallucinations in Large Language Models (LLMs) is critical for their reliable deployment. Existing methods typically fine-tune LLMs to abstain from answering questions beyond their knowledge scope. However, these methods often…

Computation and Language · Computer Science 2025-10-29 Hao An , Yang Xu

The l1-regularization is very popular in high dimensional statistics -- it changes a combinatorial problem of choosing which subset of the parameter are zero, into a simple continuous optimization. Using a continuous prior concentrated near…

Methodology · Statistics 2023-02-22 Maoran Xu , Leo L. Duan

Implementing Bayesian inference is often computationally challenging in applications involving complex models, and sometimes calculating the likelihood itself is difficult. Synthetic likelihood is one approach for carrying out inference…

Computation · Statistics 2021-03-15 David T. Frazier , David J. Nott , Christopher Drovandi , Robert Kohn

This paper revisits the LLM cache bandit problem, with a special focus on addressing the query heterogeneity for cost-effective LLM inference. Previous works often assume uniform query sizes. Heterogeneous query sizes introduce a…

Computation and Language · Computer Science 2025-09-22 Hantao Yang , Hong Xie , Defu Lian , Enhong Chen

Scaling inference compute in large language models (LLMs) through repeated sampling consistently increases the coverage (fraction of problems solved) as the number of samples increases. We conjecture that this observed improvement is…

Computation and Language · Computer Science 2024-10-22 Gal Yona , Or Honovich , Omer Levy , Roee Aharoni

LLM ensembles are widely used for LLM judges. However, how to estimate their accuracy, especially in an efficient way, is unknown. In this paper, we present a principled maximum a posteriori (MAP) framework for an economical and precise…

Machine Learning · Computer Science 2025-04-18 Huaizhi Qu , Inyoung Choi , Zhen Tan , Song Wang , Sukwon Yun , Qi Long , Faizan Siddiqui , Kwonjoon Lee , Tianlong Chen

This paper addresses the challenges of efficiently fine-tuning large language models (LLMs) by exploring data efficiency and hyperparameter optimization. We investigate the minimum data required for effective fine-tuning and propose a novel…

Computation and Language · Computer Science 2024-07-22 Michael Oliver , Guan Wang

Self-consistency (Wang et al., 2023) suggests that the most consistent answer obtained through large language models (LLMs) is more likely to be correct. In this paper, we challenge this argument and propose a nuanced correction. Our…

Computation and Language · Computer Science 2024-07-09 Alex Nguyen , Dheeraj Mekala , Chengyu Dong , Jingbo Shang

Large Language Models (LLMs) have demonstrated exceptional capabilities, yet selecting the most reliable response from multiple LLMs remains a challenge, particularly in resource-constrained settings. Existing approaches often depend on…

Computation and Language · Computer Science 2025-10-06 Aakriti Agrawal , Rohith Aralikatti , Anirudh Satheesh , Souradip Chakraborty , Amrit Singh Bedi , Furong Huang

A significant barrier to the widespread adoption of Bayesian inference is the specification of prior distributions and likelihoods, which often requires specialized statistical expertise. This paper investigates the feasibility of using a…

Artificial Intelligence · Computer Science 2025-08-13 Yongchao Huang

Bayesian model-based reinforcement learning is a formally elegant approach to learning optimal behaviour under model uncertainty, trading off exploration and exploitation in an ideal way. Unfortunately, finding the resulting Bayes-optimal…

Machine Learning · Computer Science 2015-03-20 Arthur Guez , David Silver , Peter Dayan

Due to the ease of modern data collection, applied statisticians often have access to a large set of covariates that they wish to relate to some observed outcome. Generalized linear models (GLMs) offer a particularly interpretable framework…

Computation · Statistics 2019-05-21 Brian L. Trippe , Jonathan H. Huggins , Raj Agrawal , Tamara Broderick

We study the reasoning behavior of large language models (LLMs) under limited computation budgets. In such settings, producing useful partial solutions quickly is often more practical than exhaustive reasoning, which incurs high inference…

Computation and Language · Computer Science 2026-04-21 Xuanming Zhang , Shwan Ashrafi , Aziza Mirsaidova , Amir H. Rezaeian , Miguel Ballesteros , Lydia B. Chilton , Zhou Yu , Dan Roth

Increasing test-time computation is a straightforward approach to enhancing the quality of responses in Large Language Models (LLMs). While Best-of-N sampling and Self-Consistency with majority voting are simple and effective, they require…

Machine Learning · Computer Science 2025-03-04 Chengsong Huang , Langlin Huang , Jixuan Leng , Jiacheng Liu , Jiaxin Huang

Large language models often improve reasoning by sampling multiple outputs and aggregating their final answers, but precise and efficient control of error levels remains a challenging task. In particular, deciding when to stop sampling…

Machine Learning · Statistics 2026-05-08 Hirofumi Ota , Naoto Iwase , Yuki Ichihara , Junpei Komiyama , Masaaki Imaizumi

Inference-time computation is a powerful paradigm to enhance the performance of large language models (LLMs), with Best-of-N sampling being a widely used technique. However, this method is computationally expensive, requiring both (1) an…

Computation and Language · Computer Science 2024-10-04 Rohin Manvi , Anikait Singh , Stefano Ermon

In the Bayesian approach, the a priori knowledge about the input of a mathematical model is described via a probability measure. The joint distribution of the unknown input and the data is then conditioned, using Bayes' formula, giving rise…

Statistics Theory · Mathematics 2015-06-15 Sebastian J. Vollmer

Solving symmetric Bayesian decision problems is a computationally intensive task to perform regardless of the algorithm used. In this paper we propose a method for improving the efficiency of algorithms for solving Bayesian decision…

Artificial Intelligence · Computer Science 2013-01-30 Anders L. Madsen , Finn Verner Jensen

Although large language models rely on chain-of-thought for complex reasoning, the overthinking phenomenon severely degrades inference efficiency. Existing reinforcement learning methods compress reasoning chains by designing elaborate…

Machine Learning · Computer Science 2026-05-13 Zizhao Chen , Yuying Li , Siting Lin , Lianxi Wang

How can we precisely estimate a large language model's (LLM) accuracy on questions belonging to a specific topic within a larger question-answering dataset? The standard direct estimator, which averages the model's accuracy on the questions…

Machine Learning · Computer Science 2024-10-08 Riccardo Fogliato , Pratik Patil , Nil-Jana Akpinar , Mathew Monfort