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Forecasting sporting events encapsulate a compelling intellectual endeavor, underscored by the substantial financial activity of an estimated $80 billion wagered in global sports betting during 2022, a trend that grows yearly. Motivated by…

Over the last few years, there has been a growing interest in the prediction and modelling of competitive sports outcomes, with particular emphasis placed on this area by the Bayesian statistics and machine learning communities. In this…

Applications · Statistics 2024-12-17 Roberto Macrì Demartino , Leonardo Egidi , Nicola Torelli

Handball has received growing interest during the last years, including academic research for many different aspects of the sport. On the other hand modelling the outcome of the game has attracted less interest mainly because of the…

Methodology · Statistics 2024-04-08 Dimitris Karlis , Rouven Michels , Marius Otting

In this work, we compare three different modeling approaches for the scores of soccer matches with regard to their predictive performances based on all matches from the four previous FIFA World Cups 2002 - 2014: Poisson regression models,…

Applications · Statistics 2018-06-14 Andreas Groll , Christophe Ley , Gunther Schauberger , Hans Van Eetvelde

Sports tracking data are the high-resolution spatiotemporal observations of a competitive event. The growing collection of these data in professional sport allows us to address a fundamental problem of modern sport: how to attribute value…

Applications · Statistics 2020-05-27 Stephanie Kovalchik , Martin Ingram , Kokum Weeratunga , Cagatay Goncu

Analyzing football score data with statistical techniques, we investigate how the not purely random, but highly co-operative nature of the game is reflected in averaged properties such as the probability distributions of scored goals for…

Physics and Society · Physics 2009-04-02 Elmar Bittner , Andreas Nussbaumer , Wolfhard Janke , Martin Weigel

While games have been used extensively as milestones to evaluate game-playing AI, there exists no standardised framework for reporting the obtained observations. As a result, it remains difficult to draw general conclusions about the…

Artificial Intelligence · Computer Science 2020-07-07 Vanessa Volz , Boris Naujoks

Reinforcement learning has substantially improved the performance of LLM agents on tasks with verifiable outcomes, but it still struggles on open-ended agent tasks with vast solution spaces (e.g., complex travel planning). Due to the…

Even though Google Research Football (GRF) was initially benchmarked and studied as a single-agent environment in its original paper, recent years have witnessed an increasing focus on its multi-agent nature by researchers utilizing it as a…

Multiagent Systems · Computer Science 2023-09-25 Yan Song , He Jiang , Haifeng Zhang , Zheng Tian , Weinan Zhang , Jun Wang

Sports analytics -- broadly defined as the pursuit of improvement in athletic performance through the analysis of data -- has expanded its footprint both in the professional sports industry and in academia over the past 30 years. In this…

Applications · Statistics 2023-01-11 Benjamin S. Baumer , Gregory J. Matthews , Quang Nguyen

With the recent increase in the quantity of high fidelity games appearing on mobile devices and the recent trend of gaming focused mobile devices, there is a new requirement for a clear and comprehensive measure of the quality of gaming…

Human-Computer Interaction · Computer Science 2019-10-31 Hesham Dar , James Kwan , Yang Liu , Omiros Pantazis , Robert Sharp

Ranking a set of objects from the most dominant one to the least, based on the results of paired comparisons, proves to be useful in many contexts. Using the rankings of teams or individuals players in sports to seed tournaments is an…

Physics and Society · Physics 2016-03-15 Juyong Park

Assessing the impact of the individual actions performed by soccer players during games is a crucial aspect of the player recruitment process. Unfortunately, most traditional metrics fall short in addressing this task as they either focus…

Applications · Statistics 2019-08-01 Tom Decroos , Lotte Bransen , Jan Van Haaren , Jesse Davis

For NCAA football, we provide a method for sports bettors to determine if they have a positive expected value bet based on the betting lines available to them and how they believe the game will end. The method we develop modifies…

Applications · Statistics 2022-12-19 Ryan Sides , Jane L. Harvill

This paper employs a Bayesian methodology to predict the results of soccer matches in real-time. Using sequential data of various events throughout the match, we utilize a multinomial probit regression in a novel framework to estimate the…

Applications · Statistics 2024-10-17 Chinmay Divekar , Soudeep Deb , Rishideep Roy

The rankability of data is a recently proposed problem that considers the ability of a dataset, represented as a graph, to produce a meaningful ranking of the items it contains. To study this concept, a number of rankability measures have…

Combinatorics · Mathematics 2022-03-15 Nathan McJames , David Malone , Oliver Mason

Competitive online games use rating systems for matchmaking; progression-based algorithms that estimate the skill level of players with interpretable ratings in terms of the outcome of the games they played. However, the overall experience…

Machine Learning · Computer Science 2022-07-04 Arman Dehpanah , Muheeb Faizan Ghori , Jonathan Gemmell , Bamshad Mobasher

The increasing number of spectators and players in e-sports, along with the development of optimized communication solutions and cloud computing technology, has motivated the constant growth of the online game industry. Even though…

Artificial Intelligence · Computer Science 2025-10-23 Silvia García-Méndez , Francisco de Arriba-Pérez

An open problem posed by the first author is the complexity to decide whether a sequence of nonnegative integer numbers can be the final score of a football tournament. In this paper we propose polynomial time approximate and exponential…

Discrete Mathematics · Computer Science 2012-07-27 A. Iványi , J. E. Schoenfield

In order to compare and benchmark the mathematical software, the performance profiles have been introduced [1]. However, it has been proved that the algorithm is not flawless. The main issue with the performance profile is that it may rank…

Optimization and Control · Mathematics 2020-01-31 Rasoul Hekmati , Hanieh Mirhajianmoghadam