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Ranking the participants of a tournament has applications in voting, paired comparisons analysis, sports and other domains. In this paper we introduce bipartite tournaments, which model situations in which two different kinds of entity…

Multiagent Systems · Computer Science 2021-01-08 Joseph Singleton , Richard Booth

In the sport of cricket, player batting ability is traditionally measured using the batting average. However, the batting average fails to measure both short-term changes in ability that occur during an innings, and long-term changes that…

Applications · Statistics 2021-03-25 Oliver George Stevenson , Brendon James Brewer

We study the effects of randomness on competitions based on an elementary random process in which there is a finite probability that a weaker team upsets a stronger team. We apply this model to sports leagues and sports tournaments, and…

Physics and Society · Physics 2013-04-02 E. Ben-Naim , N. W. Hengartner , S. Redner , F. Vazquez

We consider a matching problem, which is meaningful in team competitions, as well as in information theory, recommender systems, and assignment problems. In the competitions which we study, each competitor in a team order plays a match with…

Computer Science and Game Theory · Computer Science 2026-05-21 Haris Aziz , Jiarui Gan , Grzegorz Lisowski , Ali Pourmiri

Daily fantasy sports (DFS) are weekly or daily online contests where real-game performances of individual players are converted to fantasy points (FPTS). Users select players for their lineup to maximize their FPTS within a set player…

Machine Learning · Computer Science 2023-09-29 Joseph M. Mahoney , Tomasz B. Paniak

Consider an important meeting to be held in a team-based organization. Taking availability constraints into account, an online scheduling poll is being used in order to decide upon the exact time of the meeting. Decisions are to be taken…

Computer Science and Game Theory · Computer Science 2016-11-29 Robert Bredereck , Jiehua Chen , Rolf Niedermeier , Svetlana Obraztsova , Nimrod Talmon

Clustering is often used for discovering structure in data. Clustering systems differ in the objective function used to evaluate clustering quality and the control strategy used to search the space of clusterings. Ideally, the search…

Artificial Intelligence · Computer Science 2014-11-17 D. Fisher

Nowadays, several crowdsourcing projects exploit social choice methods for computing an aggregate ranking of alternatives given individual rankings provided by workers. Motivated by such systems, we consider a setting where each worker is…

Computer Science and Game Theory · Computer Science 2018-11-27 Ioannis Caragiannis , Xenophon Chatzigeorgiou , George A. Krimpas , Alexandros A. Voudouris

Batting average is one of the principle performance measures for an individual baseball player. It is natural to statistically model this as a binomial-variable proportion, with a given (observed) number of qualifying attempts (called…

Applications · Statistics 2008-12-18 Lawrence D. Brown

The problem of ranking is a multi-billion dollar problem. In this paper we present an overview of several production quality ranking systems. We show that due to conflicting goals of employing the most effective machine learning models and…

Information Retrieval · Computer Science 2019-07-30 Murium Iqbal , Nishan Subedi , Kamelia Aryafar

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

Integer linear programming (ILP) is an elegant approach to solve linear optimization problems, naturally described using integer decision variables. Within the context of physics-inspired machine learning applied to chemistry, we…

Online competitive games have become a mainstream entertainment platform. To create a fair and exciting experience, these games use rating systems to match players with similar skills. While there has been an increasing amount of research…

Information Retrieval · Computer Science 2021-07-01 Arman Dehpanah , Muheeb Faizan Ghori , Jonathan Gemmell , Bamshad Mobasher

The chances to win a football match can be significantly increased if the right tactic is chosen and the behavior of the opposite team is well anticipated. For this reason, every professional football club employs a team of game analysts.…

Machine Learning · Computer Science 2019-10-02 Eric Müller-Budack , Jonas Theiner , Robert Rein , Ralph Ewerth

The integrated completed likelihood (ICL) criterion has proven to be a very popular approach in model-based clustering through automatically choosing the number of clusters in a mixture model. This approach effectively maximises the…

Computation · Statistics 2015-05-26 Marco Bertoletti , Nial Friel , Riccardo Rastelli

We present tournament results and several powerful strategies for the Iterated Prisoner's Dilemma created using reinforcement learning techniques (evolutionary and particle swarm algorithms). These strategies are trained to perform well…

Computer Science and Game Theory · Computer Science 2018-02-07 Marc Harper , Vincent Knight , Martin Jones , Georgios Koutsovoulos , Nikoleta E. Glynatsi , Owen Campbell

In Machine Learning, a benchmark refers to an ensemble of datasets associated with one or multiple metrics together with a way to aggregate different systems performances. They are instrumental in (i) assessing the progress of new methods…

Computation and Language · Computer Science 2022-10-10 Pierre Colombo , Nathan Noiry , Ekhine Irurozki , Stephan Clemencon

This paper focuses on a one person game called Indian policeman's dilemma (IPD). It represents the internal conflict between emotion and profession of a typical Indian police officer. We have 'split' the game to be played independently by…

Computer Science and Game Theory · Computer Science 2010-04-20 Kaushik Kumar Majumdar

Ranking athletes by their performance in competitions and tournaments is common in every popular sport and has significant benefits that contribute to both the organization and strategic aspects of competitions. Although rankings are…

Physics and Society · Physics 2025-08-28 Bogdán Asztalos , Boldizsár Balázs , Gergely Palla , Tamás Vicsek

League of Legends (LoL) is the most widely played multiplayer online battle arena (MOBA) game in the world. An important aspect of LoL is competitive ranked play, which utilizes a skill-based matchmaking system to form fair teams. However,…

Machine Learning · Computer Science 2021-08-09 Tiffany D. Do , Seong Ioi Wang , Dylan S. Yu , Matthew G. McMillian , Ryan P. McMahan