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This paper addresses the item ranking problem with associate covariates, focusing on scenarios where the preference scores can not be fully explained by covariates, and the remaining intrinsic scores, are sparse. Specifically, we extend the…

统计方法学 · 统计学 2024-07-15 Jianqing Fan , Jikai Hou , Mengxin Yu

We introduce a general covariate-assisted statistical ranking model within the Plackett--Luce framework. Unlike previous studies focusing on individual effects with fixed covariates, our model allows covariates to vary across comparisons.…

统计方法学 · 统计学 2025-03-20 Pinjun Dong , Ruijian Han , Binyan Jiang , Yiming Xu

This paper studies human preference learning based on partially revealed choice behavior and formulates the problem as a generalized Bradley-Terry-Luce (BTL) ranking model that accounts for heterogeneous preferences. Specifically, we assume…

统计方法学 · 统计学 2025-09-03 Jianqing Fan , Hyukjun Kwon , Xiaonan Zhu

This paper introduces the novel piecewise stationary covariate-assisted ranking estimation (PS-CARE) model for analyzing time-evolving pairwise comparison data, enhancing item ranking accuracy through the integration of covariate…

应用统计 · 统计学 2024-08-27 Yi Han , Thomas C. M. Lee

This technical report studies the problem of ranking from pairwise comparisons in the classical Bradley-Terry-Luce (BTL) model, with a focus on score estimation. For general graphs, we show that, with sufficiently many samples, maximum…

机器学习 · 统计学 2023-04-17 Yanxi Chen

Ranking problems based on pairwise comparisons, such as those arising in online gaming, often involve a large pool of items to order. In these situations, the gap in performance between any two items can be significant, and the smallest and…

统计理论 · 数学 2022-06-16 Heejong Bong , Alessandro Rinaldo

The Bradley-Terry-Luce (BTL) model is a benchmark model for pairwise comparisons between individuals. Despite recent progress on the first-order asymptotics of several popular procedures, the understanding of uncertainty quantification in…

统计理论 · 数学 2022-08-11 Chao Gao , Yandi Shen , Anderson Y. Zhang

Ordering the expected outcomes across a collection of clusters after performing a covariate adjustment commonly arises in many applied settings, such as healthcare provider evaluation. Regression parameters in such covariate adjustment…

统计方法学 · 统计学 2025-11-21 Nicholas C. Henderson , Nicholas Hartman

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…

统计方法学 · 统计学 2025-07-31 Ting Yan

We propose a novel combinatorial inference framework to conduct general uncertainty quantification in ranking problems. We consider the widely adopted Bradley-Terry-Luce (BTL) model, where each item is assigned a positive preference score…

机器学习 · 统计学 2021-10-04 Yue Liu , Ethan X. Fang , Junwei Lu

A preference order or ranking aggregated from pairwise comparison data is commonly understood as a strict total order. However, in real-world scenarios, some items are intrinsically ambiguous in comparisons, which may very well be an…

机器学习 · 计算机科学 2018-07-31 Qianqian Xu , Jiechao Xiong , Xinwei Sun , Zhiyong Yang , Xiaochun Cao , Qingming Huang , Yuan Yao

We study the model selection problem in conditional average treatment effect (CATE) prediction. Unlike previous works on this topic, we focus on preserving the rank order of the performance of candidate CATE predictors to enable accurate…

机器学习 · 统计学 2020-07-20 Yuta Saito , Shota Yasui

This paper explores generalised probabilistic modelling and uncertainty estimation in comparative LLM-as-a-judge frameworks. We show that existing Product-of-Experts methods are specific cases of a broader framework, enabling diverse…

人工智能 · 计算机科学 2025-05-22 Yassir Fathullah , Mark J. F. Gales

We revisit the problem of inferring the overall ranking among entities in the framework of Bradley-Terry-Luce (BTL) model, based on available empirical data on pairwise preferences. By a simple transformation, we can cast the problem as…

机器学习 · 计算机科学 2016-05-10 Vivek S. Borkar , Nikhil Karamchandani , Sharad Mirani

A number of applications (e.g., AI bot tournaments, sports, peer grading, crowdsourcing) use pairwise comparison data and the Bradley-Terry-Luce (BTL) model to evaluate a given collection of items (e.g., bots, teams, students, search…

机器学习 · 计算机科学 2019-06-12 Jingyan Wang , Nihar B. Shah , R. Ravi

This paper considers ranking inference of $n$ items based on the observed data on the top choice among $M$ randomly selected items at each trial. This is a useful modification of the Plackett-Luce model for $M$-way ranking with only the top…

统计方法学 · 统计学 2023-01-09 Jianqing Fan , Zhipeng Lou , Weichen Wang , Mengxin Yu

Language Models (LMs) have shown promising performance in natural language generation. However, as LMs often generate incorrect or hallucinated responses, it is crucial to correctly quantify their uncertainty in responding to given inputs.…

计算与语言 · 计算机科学 2024-09-17 Xinmeng Huang , Shuo Li , Mengxin Yu , Matteo Sesia , Hamed Hassani , Insup Lee , Osbert Bastani , Edgar Dobriban

Societal biases that are contained in retrieved documents have received increased interest. Such biases, which are often prevalent in the training data and learned by the model, can cause societal harms, by misrepresenting certain groups,…

信息检索 · 计算机科学 2023-09-19 Maria Heuss , Daniel Cohen , Masoud Mansoury , Maarten de Rijke , Carsten Eickhoff

This paper is concerned with the problem of top-$K$ ranking from pairwise comparisons. Given a collection of $n$ items and a few pairwise comparisons across them, one wishes to identify the set of $K$ items that receive the highest ranks.…

机器学习 · 统计学 2019-06-13 Yuxin Chen , Jianqing Fan , Cong Ma , Kaizheng Wang

Pairwise human-preference platforms such as Chatbot Arena have become central to large language model (LLM) evaluation, yet reliable task-specific ranking remains challenging. Global leaderboards mask task heterogeneity, while ranking each…

统计方法学 · 统计学 2026-05-29 Jiachun Li , David Simchi-Levi , Will Wei Sun
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