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Given partially observed pairwise comparison data generated by the Bradley-Terry-Luce (BTL) model, we study the problem of top-$k$ ranking. That is, to optimally identify the set of top-$k$ players. We derive the minimax rate with respect…

Statistics Theory · Mathematics 2021-07-16 Pinhan Chen , Chao Gao , Anderson Y. Zhang

Widespread applications of deep learning have led to a plethora of pre-trained neural network models for common tasks. Such models are often adapted from other models via transfer learning. The models may have varying training sets,…

Machine Learning · Computer Science 2019-03-06 Nirmit Desai , Linsong Chu , Raghu K. Ganti , Sebastian Stein , Mudhakar Srivatsa

Ranked search results have become the main mechanism by which we find content, products, places, and people online. Thus their ordering contributes not only to the satisfaction of the searcher, but also to career and business opportunities,…

Information Retrieval · Computer Science 2020-05-28 Meike Zehlike , Carlos Castillo

Rank aggregation with pairwise comparisons has shown promising results in elections, sports competitions, recommendations, and information retrieval. However, little attention has been paid to the security issue of such algorithms, in…

Machine Learning · Computer Science 2022-09-14 Ke Ma , Qianqian Xu , Jinshan Zeng , Guorong Li , Xiaochun Cao , Qingming Huang

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…

Methodology · Statistics 2024-07-15 Jianqing Fan , Jikai Hou , Mengxin Yu

It is a well-known challenge to learn an unbiased ranker with biased feedback. Unbiased learning-to-rank(LTR) algorithms, which are verified to model the relative relevance accurately based on noisy feedback, are appealing candidates and…

Information Retrieval · Computer Science 2023-03-09 Yi Ren , Hongyan Tang , Siwen Zhu

Graph representation learning has become a standard approach for analyzing networked data, with latent embeddings widely used for link prediction, community detection, and related tasks. Yet a basic design choice, the latent dimension, is…

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…

Methodology · Statistics 2025-09-03 Jianqing Fan , Hyukjun Kwon , Xiaonan Zhu

Empirical data can often be considered as samples from a set of probability distributions. Kernel methods have emerged as a natural approach for learning to classify these distributions. Although numerous kernels between distributions have…

Machine Learning · Computer Science 2024-12-02 Oleksii Kachaiev , Stefano Recanatesi

Unbiased Learning to Rank (ULTR) that learns to rank documents with biased user feedback data is a well-known challenge in information retrieval. Existing methods in unbiased learning to rank typically rely on click modeling or inverse…

Information Retrieval · Computer Science 2023-02-09 Dan Luo , Lixin Zou , Qingyao Ai , Zhiyu Chen , Dawei Yin , Brian D. Davison

Pairwise comparison data are widely used to infer latent rankings in areas such as sports, social choice, and machine learning. The Bradley-Terry model provides a foundational probabilistic framework but inherently assumes transitive…

Methodology · Statistics 2026-01-13 Hisaya Okahara , Tomoyuki Nakagawa , Shonosuke Sugasawa

This paper introduces a scalable approach for probabilistic top-k similarity ranking on uncertain vector data. Each uncertain object is represented by a set of vector instances that are assumed to be mutually-exclusive. The objective is to…

Databases · Computer Science 2009-07-17 Thomas Bernecker , Hans-Peter Kriegel , Nikos Mamoulis , Matthias Renz , Andreas Zuefle

Pairwise ranking systems based on Maximum Likelihood Estimation (MLE), such as the Bradley-Terry model, are widely used to aggregate preferences from pairwise comparisons. However, their robustness under strategic data manipulation remains…

Machine Learning · Computer Science 2026-04-21 Junyi Yao , Zihao Zheng , Jiayu Long

We consider the problem of search through comparisons, where a user is presented with two candidate objects and reveals which is closer to her intended target. We study adaptive strategies for finding the target, that require knowledge of…

Machine Learning · Computer Science 2012-06-22 Amin Karbasi , Stratis Ioannidis , laurent Massoulie

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

Modern sequential recommender systems commonly use transformer-based models for next-item prediction. While these models demonstrate a strong balance between efficiency and quality, integrating interleaving features - such as the query…

Information Retrieval · Computer Science 2025-08-13 Andrii Dzhoha , Alisa Mironenko , Evgeny Labzin , Vladimir Vlasov , Maarten Versteegh , Marjan Celikik

Unlabeled data is a key component of modern machine learning. In general, the role of unlabeled data is to impose a form of smoothness, usually from the similarity information encoded in a base kernel, such as the $\epsilon$-neighbor kernel…

Machine Learning · Statistics 2024-02-02 Runtian Zhai , Rattana Pukdee , Roger Jin , Maria-Florina Balcan , Pradeep Ravikumar

We consider stochastic systems of interacting particles or agents, with dynamics determined by an interaction kernel which only depends on pairwise distances. We study the problem of inferring this interaction kernel from observations of…

Statistics Theory · Mathematics 2020-07-31 Fei Lu , Mauro Maggioni , Sui Tang

In machine learning practice it is often useful to identify relevant input features. Isolating key input elements, ranked according their respective degree of relevance, can help to elaborate on the process of decision making. Here, we…

Machine Learning · Computer Science 2025-11-24 Lorenzo Chicchi , Lorenzo Buffoni , Diego Febbe , Lorenzo Giambagli , Raffaele Marino , Duccio Fanelli

The Bradley-Terry (BT) model is a common and successful practice in reward modeling for Large Language Model (LLM) alignment. However, it remains unclear why this model -- originally developed for multi-player stochastic game matching --…

Artificial Intelligence · Computer Science 2025-01-28 Hao Sun , Yunyi Shen , Jean-Francois Ton