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Ranking entities such as algorithms, devices, methods, or models based on their performances, while accounting for application-specific preferences, is a challenge. To address this challenge, we establish the foundations of a universal…

Machine Learning · Computer Science 2026-03-25 Sébastien Piérard , Anaïs Halin , Anthony Cioppa , Adrien Deliège , Marc Van Droogenbroeck

Nowadays, the quality of responses generated by different modern large language models (LLMs) is hard to evaluate and compare automatically. Recent studies suggest and predominantly use LLMs for reference-free evaluation of open-ended…

Computation and Language · Computer Science 2025-01-03 Ruosen Li , Teerth Patel , Xinya Du

Multileaved comparison methods generalize interleaved comparison methods to provide a scalable approach for comparing ranking systems based on regular user interactions. Such methods enable the increasingly rapid research and development of…

Information Retrieval · Computer Science 2017-11-28 Harrie Oosterhuis , Maarten de Rijke

We propose a test of fairness in score-based ranking systems called matched pair calibration. Our approach constructs a set of matched item pairs with minimal confounding differences between subgroups before computing an appropriate measure…

We consider the problem of ranking $N$ objects starting from a set of noisy pairwise comparisons provided by a crowd of equal workers. We assume that objects are endowed with intrinsic qualities and that the probability with which an object…

Information Retrieval · Computer Science 2020-02-27 Evgenia Christoforou , Alessandro Nordio , Alberto Tarable , Emilio Leonardi

Graphical models are widely used to study complex multivariate biological systems. Network inference algorithms aim to reverse-engineer such models from noisy experimental data. It is common to assess such algorithms using techniques from…

Methodology · Statistics 2014-03-03 Chris J. Oates , Richard Amos , Simon E. F. Spencer

We introduce LLM CHESS, an evaluation framework designed to probe the generalization of reasoning and instruction-following abilities in large language models (LLMs) through extended agentic interaction in the domain of chess. We rank over…

Artificial Intelligence · Computer Science 2025-12-02 Sai Kolasani , Maxim Saplin , Nicholas Crispino , Kyle Montgomery , Jared Quincy Davis , Matei Zaharia , Chi Wang , Chenguang Wang

We present a probabilistic ranking model to identify the optimal treatment in multiple-response experiments. In contemporary practice, treatments are applied over individuals with the goal of achieving multiple ideal properties on them…

We consider a simple model of imprecise comparisons: there exists some $\delta>0$ such that when a subject is given two elements to compare, if the values of those elements (as perceived by the subject) differ by at least $\delta$, then the…

Data Structures and Algorithms · Computer Science 2015-01-14 Miklos Ajtai , Vitaly Feldman , Avinatan Hassidim , Jelani Nelson

Knowledge Tracing (KT) models students' knowledge states based on learning interactions to predict performance. While deep learning-based KT models have boosted predictive accuracy, most models rely on deterministic vector embeddings and…

Artificial Intelligence · Computer Science 2026-05-12 Siyu Wu , Cong Xu , Wei Zhang

We propose a computationally feasible way of deriving the identified features of models with multiple equilibria in pure or mixed strategies. It is shown that in the case of Shapley regular normal form games, the identified set is…

Econometrics · Economics 2021-02-25 Alfred Galichon , Marc Henry

Preference learning is critical for aligning large language models (LLMs) with human values, with the quality of preference datasets playing a crucial role in this process. While existing metrics primarily assess data quality based on…

Machine Learning · Computer Science 2025-03-05 Kexin Huang , Junkang Wu , Ziqian Chen , Xue Wang , Jinyang Gao , Bolin Ding , Jiancan Wu , Xiangnan He , Xiang Wang

In this paper, we describe an approach to rank sport players based on their efficiency. Although is extremely useful to analyze the performance of team games there is no unanimity on the use of a single index to perform such a ranking. We…

Optimization and Control · Mathematics 2018-02-21 Víctor Blanco , Román Salmerón , Samuel Gómez-Haro

We focus on the problem of ranking $N$ objects starting from a set of noisy pairwise comparisons provided by a crowd of unequal workers, each worker being characterized by a specific degree of reliability, which reflects her ability to rank…

Machine Learning · Computer Science 2023-10-04 Alessandro Nordio , Alberto tarable , Emilio Leonardi

Traditional statistical inference on ordinal comparison data results in an overall ranking of objects, e.g., from best to worst, with each object having a unique rank. However, ranks of some objects may not be statistically distinguishable.…

Methodology · Statistics 2024-08-27 Michael Pearce , Elena A. Erosheva

This paper explores improvements in prediction accuracy and inference capability when allowing for potential correlation in team-level random effects across multiple game-level responses from different assumed distributions. First-order and…

Applications · Statistics 2019-03-01 Jennifer E. Broatch , Andrew T. Karl

Random Utility Models (RUMs), which subsume Plackett-Luce model (PL) as a special case, are among the most popular models for preference learning. In this paper, we consider RUMs with features and their mixtures, where each alternative has…

Machine Learning · Computer Science 2022-05-04 Zhibing Zhao , Ao Liu , Lirong Xia

The Elo rating system is widely adopted to evaluate the skills of (chess) game and sports players. Recently it has been also integrated into machine learning algorithms in evaluating the performance of computerised AI agents. However, an…

Machine Learning · Computer Science 2022-01-21 Xue Yan , Yali Du , Binxin Ru , Jun Wang , Haifeng Zhang , Xu Chen

In many real-world applications of machine learning such as recommendations, hiring, and lending, deployed models influence the data they are trained on, leading to feedback loops between predictions and data distribution. The performative…

Machine Learning · Computer Science 2025-11-18 Kun Jin , Tian Xie , Yang Liu , Xueru Zhang

We propose a novel ranking model that combines the Bradley-Terry-Luce probability model with a nonnegative matrix factorization framework to model and uncover the presence of latent variables that influence the performance of top tennis…

Machine Learning · Computer Science 2019-06-14 Rui Xia , Vincent Y. F. Tan , Louis Filstroff , Cédric Févotte