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The standard mathematical approach to fourth-down decision making in American football is to make the decision that maximizes estimated win probability. Win probability estimates arise from machine learning models fit from historical data.…

Applications · Statistics 2025-02-03 Ryan S. Brill , Ronald Yurko , Abraham J. Wyner

In soccer, game context can result in skewing offensive statistics in ways that might misrepresent how well a team has played. For instance, in England's 1-2 loss to France in the 2022 FIFA World Cup quarterfinal, England attempted…

Applications · Statistics 2025-08-07 Andrey Skripnikov , Ahmet Cemek , David Gillman

The availability of massive data about sports activities offers nowadays the opportunity to quantify the relation between performance and success. In this study, we analyze more than 6,000 games and 10 million events in six European leagues…

Applications · Statistics 2017-11-17 Luca Pappalardo , Paolo Cintia

We analyze grand-canonical minority games with infinite and finite score memory and different updating timescales (from `on-line' games to `batch' games) in detail with various complementary methods, both analytical and numerical. We focus…

Disordered Systems and Neural Networks · Physics 2007-05-23 Damien Challet , Andrea De Martino , Matteo Marsili , Isaac Perez Castillo

This note proposes a penalty criterion for assessing correct score forecasting in a soccer match. The penalty is based on hierarchical priorities for such a forecast i.e., i) Win, Draw and Loss exact prediction and ii) normalized Euclidian…

Applications · Statistics 2018-06-06 Jean-Louis Foulley , Gilles Celeux

As the technology advances, an ample amount of data is collected in sports with the help of advanced sensors. Sports Analytics is the study of this data to provide a constructive advantage to the team and its players. The game of…

Machine Learning · Computer Science 2020-11-05 Rahul Chakwate , Madhan R A

Soccer is a globally popular sport with a vast audience, in this paper, we consider constructing an automatic soccer game commentary model to improve the audiences' viewing experience. In general, we make the following contributions: First,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Jiayuan Rao , Haoning Wu , Chang Liu , Yanfeng Wang , Weidi Xie

With the increasingly detailed investigation of game play and tactics in invasive team sports such as soccer, it becomes ever more important to present causes, actions and findings in a meaningful manner. Visualizations, especially when…

Computer Vision and Pattern Recognition · Computer Science 2021-05-12 Maximilian T. Fischer , Daniel A. Keim , Manuel Stein

We present a systematic approach to the prediction of soccer matches. First, we show that the information about chances for goals is by far more informative than about the actual results. Second, we present a multivariate regression…

Data Analysis, Statistics and Probability · Physics 2012-07-20 Andreas Heuer , Oliver Rubner

Pressing is a fundamental defensive strategy in football, characterized by applying pressure on the ball owning team to regain possession. Despite its significance, existing metrics for measuring pressing often lack precision or…

Applications · Statistics 2025-07-01 Joris Bekkers

In stochastic dynamic environments, team Markov games have emerged as a versatile paradigm for studying sequential decision-making problems of fully cooperative multi-agent systems. However, the optimality of the derived policies is usually…

Optimization and Control · Mathematics 2022-05-03 Feng Huang , Ming Cao , Long Wang

Many complex phenomena, from the selection of traits in biological systems to hierarchy formation in social and economic entities, show signs of competition and heterogeneous performance in the temporal evolution of their components, which…

In this study, the stochastic properties of player and team ball possession times in professional football matches are examined. Data analysis shows that player possession time follows a gamma distribution and the player count of a team…

Physics and Society · Physics 2024-01-19 Ken Yamamoto , Seiya Uezu , Keiichiro Kagawa , Yoshihiro Yamazaki , Takuma Narizuka

This paper explores how semantic-space reasoning, traditionally used in computational linguistics, can be extended to tactical decision-making in team sports. Building on the analogy between texts and teams -- where players act as words and…

Artificial Intelligence · Computer Science 2026-05-05 Alessio Di Rubbo , Mattia Neri , Remo Pareschi , Marco Pedroni , Roberto Valtancoli , Paolino Zica

Game Theory concepts have been successfully applied in a wide variety of domains over the past decade. Sports and games are one of the popular areas of game theory application owing to its merits and benefits in solving complex scenarios.…

Computer Science and Game Theory · Computer Science 2021-05-26 Ambareesh Ravi , Atharva Gokhale , Anchit Nagwekar

In musical performances with expressive tempo modulation, the tempo variation can be modelled as a sequence of tempo arcs. Previous authors have used this idea to estimate series of piecewise arc segments from data. In this paper we…

Sound · Computer Science 2013-02-04 Dan Stowell , Elaine Chew

In soccer, contextual player performance metrics are invaluable to coaches. For example, the ability to perform under pressure during matches distinguishes the elite from the average. Appropriate pressure metric enables teams to assess…

Machine Learning · Computer Science 2024-03-08 Chaoyi Gu , Jiaming Na , Yisheng Pei , Varuna De Silva

The paper presents a plus-minus rating for use in association football (soccer). We first describe the standard plus-minus methodology as used in basketball and ice-hockey and then adapt it for use in soccer. The usual goal-differential…

Applications · Statistics 2017-06-16 Tarak Kharrat , Javier López Peña , Ian McHale

Football (soccer) is a sport that is characterised by complex game play, where players perform a variety of actions, such as passes, shots, tackles, fouls, in order to score goals, and ultimately win matches. Accurately forecasting the…

Machine Learning · Computer Science 2025-11-25 Michael Horton , Patrick Lucey

This study optimises manually derived rule-based expert system classification of objects according to changes in their properties over time. One of the key challenges that this study tries to address is how to classify objects that exhibit…

Artificial Intelligence · Computer Science 2016-07-21 Polla Fattah , Uwe Aickelin , Christian Wagner