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This article surveys recent progress in the Bradley-Terry (BT) model and its extensions. We focus on the statistical and computational aspects, with emphasis on the regime in which both the number of objects and the volume of comparisons…

Methodology · Statistics 2026-01-23 Shuxing Fang , Ruijian Han , Yuanhang Luo , Yiming Xu

We present three related ways of using Transfer Learning to improve feature selection. The three methods address different problems, and hence share different kinds of information between tasks or feature classes, but all three are based on…

Machine Learning · Computer Science 2009-05-26 Paramveer S. Dhillon , Dean Foster , Lyle Ungar

Transfer learning enhances model performance in a target population with limited samples by leveraging knowledge from related studies. While many works focus on improving predictive performance, challenges of statistical inference persist.…

Methodology · Statistics 2024-12-05 Daoyuan Lai , Oscar Hernan Madrid Padilla , Tian Gu

Through this project, we researched on transfer learning methods and their applications on real world problems. By implementing and modifying various methods in transfer learning for our problem, we obtained an insight in the advantages and…

Machine Learning · Computer Science 2017-07-11 Hailin Chen , Shengping Cui , Sebastian Li

In many recommendations, a handful of popular items (e.g., movies / television shows, news, etc.) can be dominant in recommendations for many users. However, we know that in a large catalog of items, users are likely interested in more than…

Information Retrieval · Computer Science 2024-07-30 Qiuling Xu , Pannaga Shivaswamy , Xiangyu Zhang

Motivated by the home-field advantage in sports, we propose a generalized Bradley--Terry model that incorporates covariate information for paired comparisons. It has an $n$-dimensional merit parameter $\bs{\beta}$ and a fixed-dimensional…

Methodology · Statistics 2025-07-31 Ting Yan

The Bradley-Terry model is widely used for the analysis of pairwise comparison data and, in essence, produces a ranking of the items under comparison. We embed the Bradley-Terry model within a stochastic block model, allowing items to…

Methodology · Statistics 2025-11-06 Lapo Santi , Nial Friel

Numerous recent techniques for text style transfer characterize their approaches as variants of reinforcement learning and preference optimization. In this work, we consider the relationship between these approaches and a class of…

Computation and Language · Computer Science 2024-07-30 Shuai Liu , Jonathan May

Human preference judgments are pivotal in guiding large language models (LLMs) to produce outputs that align with human values. Human evaluations are also used in summarization tasks to compare outputs from various systems, complementing…

Computation and Language · Computer Science 2023-10-31 Yebowen Hu , Kaiqiang Song , Sangwoo Cho , Xiaoyang Wang , Hassan Foroosh , Fei Liu

We propose a transfer learning method that utilizes data representations in a semiparametric regression model. Our aim is to perform statistical inference on the parameter of primary interest in the target model while accounting for…

Methodology · Statistics 2024-06-21 Baihua He , Huihang Liu , Xinyu Zhang , Jian Huang

Reward models are critical for aligning models to follow instructions, and are typically trained following one of two popular paradigms: Bradley-Terry style or Regression style. However, there is a lack of evidence that either approach is…

Machine Learning · Computer Science 2025-03-07 Zhilin Wang , Alexander Bukharin , Olivier Delalleau , Daniel Egert , Gerald Shen , Jiaqi Zeng , Oleksii Kuchaiev , Yi Dong

The Bradley-Terry model is a popular approach to describe probabilities of the possible outcomes when elements of a set are repeatedly compared with one another in pairs. It has found many applications including animal behaviour, chess…

Methodology · Statistics 2015-03-17 Francois Caron , Arnaud Doucet

Standard Bradley--Terry (BT) reward models are limited when human preferences are pluralistic. Although soft preference labels preserve disagreement information, BT can only express it by shrinking reward margins. Gaussian reward models…

Machine Learning · Statistics 2026-05-13 Shuxing Fang , Ruijian Han , Liangyu Zhang , Fan Zhou

In recent years, supervised machine learning models have demonstrated tremendous success in a variety of application domains. Despite the promising results, these successful models are data hungry and their performance relies heavily on the…

Machine Learning · Computer Science 2018-12-05 Azin Asgarian , Parinaz Sobhani , Ji Chao Zhang , Madalin Mihailescu , Ariel Sibilia , Ahmed Bilal Ashraf , Babak Taati

Transfer learning has become an essential technique to exploit information from the source domain to boost performance of the target task. Despite the prevalence in high-dimensional data, heterogeneity and heavy tails are insufficiently…

Machine Learning · Statistics 2023-11-07 Jiayu Huang , Mingqiu Wang , Yuanshan Wu

Prediction and modelling of competitive sports outcomes has received much recent attention, especially from the Bayesian statistics and machine learning communities. In the real world setting of outcome prediction, the seminal \'{E}l\H{o}…

Machine Learning · Statistics 2017-01-30 Franz J. Király , Zhaozhi Qian

Updating $\textit{a priori}$ information given some observed data is the core tenet of Bayesian inference. Bayesian transfer learning extends this idea by incorporating information from a related dataset to improve the inference on the…

Transfer learning is beneficial by allowing the expressive features of models pretrained on large-scale datasets to be finetuned for the target task of smaller, more domain-specific datasets. However, there is a concern that these…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Angelina Wang , Olga Russakovsky

Ranking or assessing centrality in multivariate and non-Euclidean data is difficult because there is no canonical order and many depth notions become computationally fragile in high-dimensional or structured settings. We introduce a…

Methodology · Statistics 2026-02-24 Lingfeng Lyu , Doudou Zhou

The Bradley-Terry model is widely used for pairwise comparison data analysis. In this paper, we analyze the asymptotic behavior of the maximum likelihood estimator of the Bradley-Terry model in its logistic parameterization, under a general…

Statistics Theory · Mathematics 2022-05-10 Weichen Wu , Brian W. Junker , Nynke M. D. Niezink