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Rating systems play a crucial role in evaluating player skill across competitive environments. The Elo rating system, originally designed for deterministic and information-complete games such as chess, has been widely adopted and modified…

Computer Science and Game Theory · Computer Science 2025-12-23 Avirup Chakraborty , Shirsa Maitra , Tathagata Banerjee , Diganta Mukherjee , Tridib Mukherjee

In Natural Language Processing (NLP), the Elo rating system, originally designed for ranking players in dynamic games such as chess, is increasingly being used to evaluate Large Language Models (LLMs) through "A vs B" paired comparisons.…

Computation and Language · Computer Science 2023-11-30 Meriem Boubdir , Edward Kim , Beyza Ermis , Sara Hooker , Marzieh Fadaee

In this note, I introduce Estimated Performance Rating (PR$^e$), a novel system for evaluating player performance in sports and games. PR$^e$ addresses a key limitation of the Tournament Performance Rating (TPR) system, which is undefined…

Theoretical Economics · Economics 2023-12-21 Mehmet S. Ismail

Marking and feedback are essential features of teaching and learning, across the overwhelming majority of educational settings and contexts. However, it can take a great deal of time and effort for teachers to mark assessments, and to…

Human-Computer Interaction · Computer Science 2022-04-06 Andy Gray , Alma Rahat , Tom Crick , Stephen Lindsay , Darren Wallace

Accurate estimation of question difficulty and prediction of student performance play key roles in optimizing educational instruction and enhancing learning outcomes within digital learning platforms. The Elo rating system is widely…

Computers and Society · Computer Science 2024-03-14 Erva Nihan Kandemir , Jill-Jenn Vie , Adam Sanchez-Ayte , Olivier Palombi , Franck Ramus

The Elo rating system, which was originally proposed by Arpad Elo for chess, has become one of the most important rating systems in sports, economics and gaming nowadays. Its original formulation is based on two-player zero-sum games, but…

Optimization and Control · Mathematics 2022-04-12 Düring Bertram , Fischer Michael , Wolfram Marie-Therese

The Elo rating system has been recognised as an effective method for modelling students and items within adaptive educational systems. The existing Elo-based models have the limiting assumption that items are only tagged with a single…

Computers and Society · Computer Science 2019-10-29 Solmaz Abdi , Hassan Khosravi , Shazia Sadiq , Dragan Gasevic

This paper introduces a score-driven rating system, a generalization of the classical Elo rating system that employs the score, i.e. the gradient of the log-likelihood, as the updating mechanism for player and team ratings. The proposed…

Machine Learning · Computer Science 2026-04-13 Vladimír Holý , Michal Černý

This work reconciles two perspectives on the Elo ranking that coexist in the literature: the practitioner's view as a heuristic feedback rule, and the statistician's view as online maximum likelihood estimation via stochastic gradient…

Methodology · Statistics 2026-04-07 Leszek Szczecinski

This paper presents an Elo-based rating system for programming contests, specifically Topcoder's Single Round Matches (SRMs). We introduce a logarithmic rank-based performance metric that allows single-round, multi-player contest results to…

Multiagent Systems · Computer Science 2026-02-24 Fred Batty

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

ELO rating system is proposed by Arpad Elo, a Hungarian-American physics professor. Originally, it was proposed for the ranking system of chess players, but it was soon adapted to many other zero-sum sports fields like football, baseball,…

Human-Computer Interaction · Computer Science 2023-10-24 Yuhan Song

Reinforcement Learning (RL) heavily relies on the careful design of the reward function. However, accurately assigning rewards to each state-action pair in Long-Term Reinforcement Learning (LTRL) tasks remains a significant challenge. As a…

Machine Learning · Computer Science 2025-06-03 Qi Ju , Falin Hei , Zhemei Fang , Yunfeng Luo

Citation metrics are the best tools for research assessments. However, current metrics may be misleading in research systems that pursue simultaneously different goals, such as the advance of science and incremental innovations, because…

Digital Libraries · Computer Science 2023-09-27 Alonso Rodriguez-Navarro , Ricardo Brito

This work is concerned with the rating of players/teams in face-to-face games with three possible outcomes: loss, win, and draw. This is one of the fundamental problems in sport analytics, where the very simple and popular, non-trivial…

Statistics Theory · Mathematics 2019-10-15 Leszek Szczecinski , Aymen Djebbi

Benchmarks for the evaluation of model performance play an important role in machine learning. However, there is no established way to describe and create new benchmarks. What is more, the most common benchmarks use performance measures…

Machine Learning · Computer Science 2022-09-23 Alicja Gosiewska , Katarzyna Woźnica , Przemysław Biecek

Rating systems play an important role in competitive sports and games. They provide a measure of player skill, which incentivizes competitive performances and enables balanced match-ups. In this paper, we present a novel Bayesian rating…

Information Retrieval · Computer Science 2021-01-05 Aram Ebtekar , Paul Liu

Elo rating, widely used for skill assessment across diverse domains ranging from competitive games to large language models, is often understood as an incremental update algorithm for estimating a stationary Bradley-Terry (BT) model.…

Machine Learning · Computer Science 2025-02-18 Shange Tang , Yuanhao Wang , Chi Jin

We suggest an improvement of the Elo rating system. Whereas Elo's theoretical background remains unaffected, we significantly change the way in which rating values are adjusted. It turns out that the modified system behaves much more…

Classical Analysis and ODEs · Mathematics 2018-01-17 Fabian Langholf

The TextClass Benchmark project is an ongoing, continuous benchmarking process that aims to provide a comprehensive, fair, and dynamic evaluation of LLMs and transformers for text classification tasks. This evaluation spans various domains…

Computation and Language · Computer Science 2024-12-10 Bastián González-Bustamante
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