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Many applications such as recommendation systems or sports tournaments involve pairwise comparisons within a collection of $n$ items, the goal being to aggregate the binary outcomes of the comparisons in order to recover the latent strength…

Statistics Theory · Mathematics 2023-07-13 Eglantine Karlé , Hemant Tyagi

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…

Artificial Intelligence · Computer Science 2025-05-22 Yassir Fathullah , Mark J. F. Gales

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

Discovering relevant patterns for a particular user remains a challenging tasks in data mining. Several approaches have been proposed to learn user-specific pattern ranking functions. These approaches generalize well, but at the expense of…

Artificial Intelligence · Computer Science 2022-03-08 Nassim Belmecheri , Noureddine Aribi , Nadjib Lazaar , Yahia Lebbah , Samir Loudni

Aligning large language models (LLMs) to preference data typically assumes a known link function between observed preferences and latent rewards (e.g., a logistic Bradley-Terry link). Misspecification of this link can bias inferred rewards…

Machine Learning · Computer Science 2026-02-03 Nathan Kallus

This contribution introduces a novel statistical learning methodology based on the Bradley-Terry method for pairwise comparisons, where the novelty arises from the method's capacity to estimate the worth of objects for a primary attribute…

Methodology · Statistics 2025-11-26 Sjoerd Hermes , Joost van Heerwaarden , Pariya Behrouzi

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…

Machine Learning · Statistics 2023-04-17 Yanxi Chen

Generally speaking, the model training for recommender systems can be based on two types of data, namely explicit feedback and implicit feedback. Moreover, because of its general availability, we see wide adoption of implicit feedback data,…

Information Retrieval · Computer Science 2023-04-17 Yi Ren , Hongyan Tang , Jiangpeng Rong , Siwen Zhu

Learning-to-rank (LTR) is a class of supervised learning techniques that apply to ranking problems dealing with a large number of features. The popularity and widespread application of LTR models in prioritizing information in a variety of…

Machine Learning · Computer Science 2020-05-19 Jaspreet Singh , Zhenye Wang , Megha Khosla , Avishek Anand

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…

Statistics Theory · Mathematics 2022-08-11 Chao Gao , Yandi Shen , Anderson Y. Zhang

Ranking objects is a simple and natural procedure for organizing data. It is often performed by assigning a quality score to each object according to its relevance to the problem at hand. Ranking is widely used for object selection, when…

Artificial Intelligence · Computer Science 2012-06-26 Or Zuk , Liat Ein-Dor , Eytan Domany

Choice behavior and preferences typically involve numerous and subjective aspects that are difficult to be identified and quantified. For this reason, their exploration is frequently conducted through the collection of ordinal evidence in…

Methodology · Statistics 2018-10-10 Cristina Mollica , Luca Tardella

Presentation bias is one of the key challenges when learning from implicit feedback in search engines, as it confounds the relevance signal with uninformative signals due to position in the ranking, saliency, and other presentation factors.…

Machine Learning · Computer Science 2018-06-12 Aman Agarwal , Ivan Zaitsev , Thorsten Joachims

This paper addresses the challenges of aligning large language models (LLMs) with human values via preference learning (PL), focusing on incomplete and corrupted data in preference datasets. We propose a novel method for robustly and…

Artificial Intelligence · Computer Science 2025-10-30 Son The Nguyen , Niranjan Uma Naresh , Theja Tulabandhula

Nowadays, recommender systems already impact almost every facet of peoples lives. To provide personalized high quality recommendation results, conventional systems usually train pointwise rankers to predict the absolute value of objectives…

Information Retrieval · Computer Science 2021-12-01 Yi Ren , Hongyan Tang , Siwen Zhu

Implicit feedback data, such as user clicks, is commonly used in learning-to-rank (LTR) systems because it is easy to collect and it often reflects user preferences. However, this data is prone to various biases, and training an LTR…

Information Retrieval · Computer Science 2026-01-30 Md Aminul Islam , Kathryn Vasilaky , Elena Zheleva

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

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

Learning to rank -- producing a ranked list of items specific to a query and with respect to a set of supervisory items -- is a problem of general interest. The setting we consider is one in which no analytic description of what constitutes…

We study the problem of ranking a set of items from nonactively chosen pairwise preferences where each item has feature information with it. We propose and characterize a very broad class of preference matrices giving rise to the Feature…

Machine Learning · Computer Science 2017-02-10 U. N. Niranjan , Arun Rajkumar