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Uncovering genuine relationships between a response variable of interest and a large collection of covariates is a fundamental and practically important problem. In the context of Gaussian linear models, both the Bayesian and non-Bayesian…

Statistics Theory · Mathematics 2025-04-11 Jeyong Lee , Minwoo Chae , Ryan Martin

We marshall the arguments for preferring Bayesian hypothesis testing and confidence sets to frequentist ones. We define admissible solutions to inference problems, noting that Bayesian solutions are admissible. We give seven weaker…

Statistics Theory · Mathematics 2024-05-22 Roger Sewell

Large Language Models (LLMs) have demonstrated impressive capabilities in code generation. While an interactive feedback loop can improve performance, writing effective tests is a non-trivial task. Early multi-agent frameworks, such as…

Neural and Evolutionary Computing · Computer Science 2026-04-14 Kaushitha Silva , Srinath Perera

Evaluating large language models (LLMs) today rests on fixed benchmarks that apply the same set of items to any model, producing ceiling and floor effects that mask capability gaps. We argue that the most informative evaluation signal lies…

Artificial Intelligence · Computer Science 2026-05-27 Haoxiang Wang , Da Yu , Huishuai Zhang

Human feedback plays a pivotal role in aligning large language models (LLMs) with human preferences. However, such feedback is often noisy or inconsistent, which can degrade the quality of reward models and hinder alignment. While various…

Artificial Intelligence · Computer Science 2025-10-15 Samuel Yeh , Sharon Li

Self-improvement through post-training methods such as iterative preference learning has been acclaimed for enhancing the problem-solving capabilities (e.g., mathematical reasoning) of Large Language Models (LLMs) without human…

Computation and Language · Computer Science 2024-07-09 Ting Wu , Xuefeng Li , Pengfei Liu

In domains like medicine and finance, large-scale labeled data is costly and often unavailable, leading to models trained on small datasets that struggle to generalize to real-world populations. Large language models contain extensive…

Computation and Language · Computer Science 2026-04-23 Sara Rezaeimanesh , Mohammad M. Ghassemi

Bayesian inference promises a framework for principled uncertainty quantification of neural network predictions. Barriers to adoption include the difficulty of fully characterizing posterior distributions on network parameters and the…

Machine Learning · Statistics 2025-01-22 Katharine Fisher , Youssef Marzouk

Kernel methods are ubiquitous tools in machine learning. However, there is often little reason for the common practice of selecting a kernel a priori. Even if a universal approximating kernel is selected, the quality of the finite sample…

Machine Learning · Statistics 2018-01-31 Junier Oliva , Avinava Dubey , Andrew G. Wilson , Barnabas Poczos , Jeff Schneider , Eric P. Xing

Recent studies show that large language models (LLMs) can be instructed to effectively perform zero-shot passage re-ranking, in which the results of a first stage retrieval method, such as BM25, are rated and reordered to improve relevance.…

Information Retrieval · Computer Science 2023-10-24 Andrew Drozdov , Honglei Zhuang , Zhuyun Dai , Zhen Qin , Razieh Rahimi , Xuanhui Wang , Dana Alon , Mohit Iyyer , Andrew McCallum , Donald Metzler , Kai Hui

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

Machine Learning · Statistics 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

Modern approaches to perform Bayesian variable selection rely mostly on the use of shrinkage priors. That said, an ideal shrinkage prior should be adaptive to different signal levels, ensuring that small effects are ruled out, while keeping…

Methodology · Statistics 2024-11-14 Santiago Marin , Bronwyn Loong , Anton H. Westveld

Despite their widespread use, large language models (LLMs) are known to hallucinate incorrect information and be poorly calibrated. This makes the uncertainty quantification of these models of critical importance, especially in high-stakes…

Machine Learning · Computer Science 2025-06-27 Colin Samplawski , Adam D. Cobb , Manoj Acharya , Ramneet Kaur , Susmit Jha

Datasets in engineering applications are often limited and contaminated, mainly due to unavoidable measurement noise and signal distortion. Thus, using conventional data-driven approaches to build a reliable discriminative model, and…

Machine Learning · Statistics 2020-04-14 Xihaier Luo , Ahsan Kareem

Recent advances in reasoning techniques have substantially improved the performance of large language models (LLMs), raising expectations for their ability to provide accurate, truthful, and reliable information. However, emerging evidence…

Artificial Intelligence · Computer Science 2025-12-03 Zhonghao He , Tianyi Qiu , Hirokazu Shirado , Maarten Sap

A new approach for Bayesian model averaging (BMA) and selection is proposed, based on the mixture model approach for hypothesis testing in Kaniav et al., 2014. Inheriting from the good properties of this approach, it extends BMA to cases…

Methodology · Statistics 2018-08-02 Merlin Keller , Kaniav Kamary

Although large language models (LLMs) are becoming increasingly capable of solving challenging real-world tasks, accurately quantifying their uncertainty remains a critical open problem--one that limits their applicability in high-stakes…

Confidence sequences based on test martingales provide time-uniform uncertainty quantification for the mean of bounded IID observations without parametric distributional assumptions. Their practical efficiency, however, depends strongly on…

Machine Learning · Statistics 2026-05-12 Valentin Kilian , Stefano Cortinovis , François Caron

We conceptualize the process of understanding as information compression, and propose a method for ranking large language models (LLMs) based on lossless data compression. We demonstrate the equivalence of compression length under…

Artificial Intelligence · Computer Science 2024-06-21 Peijia Guo , Ziguang Li , Haibo Hu , Chao Huang , Ming Li , Rui Zhang

Large language models (LLMs) are increasingly used to assist ideation in research, but evaluating the quality of LLM-generated research proposals remains difficult: novelty and soundness are hard to measure automatically, and large-scale…

Computation and Language · Computer Science 2026-05-27 Heng Wang , Pengcheng Jiang , Jiashuo Sun , Zhiyi Shi , Haofei Yu , Jiawei Han , Heng Ji
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