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Despite growing interest in quantifying and modeling the scoring dynamics within professional sports games, relative little is known about what patterns or principles, if any, cut across different sports. Using a comprehensive data set of…

Applications · Statistics 2014-03-24 Sears Merritt , Aaron Clauset

Analyzing football score data with statistical techniques, we investigate how the highly co-operative nature of the game is reflected in averaged properties such as the distributions of scored goals for the home and away teams. It turns out…

Physics and Society · Physics 2009-11-13 Elmar Bittner , Andreas Nussbaumer , Wolfhard Janke , Martin Weigel

The multiplication game is a two-person game in which each player chooses a positive integer without knowledge of the other player's number. The two numbers are then multiplied together and the first digit of the product determines the…

Computer Science and Game Theory · Computer Science 2016-07-11 Kent E. Morrison

Suppose one desires to randomly sample a pair of objects such as socks, hoping to get a matching pair. Even in the simplest situation for sampling, which is sampling with replacement, the innocent phrase "the distribution of the color of a…

Probability · Mathematics 2013-06-04 Richard Arratia , Stephen DeSalvo

This paper presents a novel approach to the problem of semantic parsing via learning the correspondences between complex sentences and rich sets of events. Our main intuition is that correct correspondences tend to occur more frequently.…

Computation and Language · Computer Science 2012-10-19 Hannaneh Hajishirzi , Mohammad Rastegari , Ali Farhadi , Jessica K. Hodgins

The outcome of some football matches has benefited both teams at the expense of a third team because head-to-head results were used for breaking ties. Inspired by these examples, our mathematical analysis identifies all possible collusion…

Physics and Society · Physics 2025-05-20 László Csató

Estimating win probability is one of the classic modeling tasks of sports analytics. Many widely used win probability estimators use machine learning to fit the relationship between a binary win/loss outcome variable and certain game-state…

Methodology · Statistics 2025-08-21 Ryan S. Brill , Ronald Yurko , Abraham J. Wyner

How often can we expect a Major League Baseball team to score at least 20 runs in a single game? Considered a rare event in baseball, the outcome of scoring at least 20 runs in a game has occurred 224 times during regular season games since…

Applications · Statistics 2010-11-10 Michael R. Huber , Rodney X. Sturdivant

When facing a heavily-favored opponent, an underdog must be willing to assume greater-than-average risk. In statistical language, one would say that an underdog must be willing to adopt a strategy whose outcome has a larger-than-average…

Physics and Society · Physics 2011-11-04 Brian Skinner

Quantitative analysis of soccer players' passing ability focuses on descriptive statistics without considering the players' real contribution to the passing and ball possession strategy of their team. Which player is able to help the…

Artificial Intelligence · Computer Science 2016-08-12 Laszlo Gyarmati , Rade Stanojevic

Given a monocular video of a soccer match, this paper presents a computational model to estimate the most feasible pass at any given time. The method leverages offensive player's orientation (plus their location) and opponents' spatial…

Computer Vision and Pattern Recognition · Computer Science 2020-04-16 Adrià Arbués-Sangüesa , Adrián Martín , Javier Fernández , Coloma Ballester , Gloria Haro

Humans are routinely asked to evaluate the performance of other individuals, separating success from failure and affecting outcomes from science to education and sports. Yet, in many contexts, the metrics driving the human evaluation…

Physics and Society · Physics 2017-12-07 Luca Pappalardo , Paolo Cintia , Dino Pedreschi , Fosca Giannotti , Albert-Laszlo Barabasi

Complex interactions between two opposing agents frequently occur in domains of machine learning, game theory, and other application domains. Quantitatively analyzing the strategies involved can provide an objective basis for…

Machine Learning · Computer Science 2023-07-28 Calvin C. K. Yeung , Keisuke Fujii

The effect of increasing goal mouth size on the number of goals scored in a football match is discussed in a very preliminary and simple way, considering elastic collisions of the ball with the posts. The result is obtained on the basis of…

Physics and Society · Physics 2007-05-23 J. Mira

Results in contact sports like Rugby are mainly interpreted in terms of the ability and/or luck of teams. But this neglects the important role of the {\em motivation} of players, reflected in the effort exerted in the game. Here we present…

Applications · Statistics 2022-08-30 Federico Fioravanti , Fernando Delbianco , Fernando Tohmé

In soccer, scoring goals is a fundamental objective which depends on many conditions and constraints. Considering the RoboCup soccer 2D-simulator, this paper presents a data mining-based decision system to identify the best time and…

Artificial Intelligence · Computer Science 2013-06-28 Renato Oliveira , Paulo Adeodato , Arthur Carvalho , Icamaan Viegas , Christian Diego , Tsang Ing-Ren

In a guessing game, players guess the value of a random real number selected using some probability density function. The winner may be determined in various ways; for example, a winner can be a player whose guess is closest in magnitude to…

Computer Science and Game Theory · Computer Science 2016-07-11 Anthony Mendes , Kent E. Morrison

In this paper we apply survival techniques to soccer data, treating a goal scoring as the event of interest. It specifically concerns the relationship between the time of the first goal in the game and the time of the second goal. In order…

Applications · Statistics 2012-07-31 Daniel Nevo , Ya'acov Ritov

Winners-take-all situations introduce an incentive for agents to diversify their behavior, since doing so will result in splitting an eventual price with fewer people. At the same time, when the payoff of a process depends on a parameter…

Computer Science and Game Theory · Computer Science 2019-06-11 Abel Molina

In soccer games, the goalkeeper's performance is an important factor to the success of the whole team. Despite the goalkeeper's importance, little attention has been paid to their performance in events and tracking data. Here, we developed…

Machine Learning · Computer Science 2022-11-02 Samer Fatayri , Kirill Serykh , Egor Gumin