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Related papers: Modeling Tennis In-Match Momentum Using Probabilit…

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The spread in the use of tracking systems in sport has made fine-grained spatiotemporal analysis a primary focus of an emerging sports analytics industry. Recently publicized tracking data for men's professional tennis allows for the first…

Methodology · Statistics 2022-02-02 Stephanie A. Kovalchik , Jim Albert

We develop an Integral Transformation Method (ITM) for the study of suitable optimal control and differential game models. This allows for a solution to such dynamic problems to be found through solving a family of optimization problems…

Theoretical Economics · Economics 2025-01-06 Raouf Boucekkine , Giorgio Fabbri , Salvatore Federico , Fausto Gozzi , Ted Loch-Temzelides , Cristiano Ricci

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

We investigate the potential occurrence of change points - commonly referred to as "momentum shifts" - in the dynamics of football matches. For that purpose, we model minute-by-minute in-game statistics of Bundesliga matches using hidden…

Applications · Statistics 2020-07-22 Marius Ötting , Roland Langrock , Antonello Maruotti

With the aid of mathematical modelling (basic tool is the random walk with absorbing barriers) we derive subsequent formulas to study the effect of different versions of possible rules. For different rules the probability of winning a game,…

Other Statistics · Statistics 2018-01-30 G. Szigeti

Professional athletes increasingly use automated analysis of meta- and signal data to improve their training and game performance. As in other related human-to-human research fields, signal data, in particular, contain important…

Sound · Computer Science 2022-02-21 Lukas Stappen , Manuel Milling , Valentin Munst , Korakot Hoffmann , Bjorn W. Schuller

National Basketball Association (NBA) players are highly motivated and skilled experts that solve complex decision making problems at every time point during a game. As a step towards understanding how players make their decisions, we focus…

Machine Learning · Computer Science 2020-08-19 Sandro Hauri , Nemanja Djuric , Vladan Radosavljevic , Slobodan Vucetic

In Major League Baseball, strategy and planning are major factors in determining the outcome of a game. Previous studies have aided this by building machine learning models for predicting the winning team of any given game. We extend this…

Machine Learning · Computer Science 2025-11-05 Morgan Allen , Paul Savala

Serves, especially first serves, are very important in professional tennis. Servers choose their serve directions strategically to maximize their winning chances while trying to be unpredictable. On the other hand, returners try to predict…

Machine Learning · Computer Science 2026-02-27 Ying Zhu , Ruthuparna Naikar

The use of momentum in stochastic gradient methods has become a widespread practice in machine learning. Different variants of momentum, including heavy-ball momentum, Nesterov's accelerated gradient (NAG), and quasi-hyperbolic momentum…

Machine Learning · Computer Science 2019-10-31 Igor Gitman , Hunter Lang , Pengchuan Zhang , Lin Xiao

We present a transformer decoder based sports simulation engine, SportsNGEN, trained on sports player and ball tracking sequences, that is capable of generating sustained gameplay and accurately mimicking the decision making of real…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Lachlan Thorpe , Lewis Bawden , Karanjot Vendal , John Bronskill , Richard E. Turner

Continuous-time assessments of game outcomes in sports have become increasingly common in the last decade. In American football, only discrete-time estimates of play value were possible, since the most advanced public football datasets were…

In this study, we investigate the interplay between player speed and ball control in soccer. We present a novel pitch control algorithm that quantifies the probability of a player gaining possession at any location on the field. Our model…

Physics and Society · Physics 2026-04-15 Marco F. da Silva , A. Novillo , A. Aleta , R. Lopez del Campo , R. Resta , Y. Moreno , J. M. Buldu

Gender bias is an increasingly important issue in sports journalism. In this work, we propose a language-model-based approach to quantify differences in questions posed to female vs. male athletes, and apply it to tennis post-match…

Computation and Language · Computer Science 2016-07-15 Liye Fu , Cristian Danescu-Niculescu-Mizil , Lillian Lee

Transition Matching (TM) is an emerging paradigm for generative modeling that generalizes diffusion and flow-matching models as well as continuous-state autoregressive models. TM, similar to previous paradigms, gradually transforms noise…

Machine Learning · Computer Science 2025-12-16 Uriel Singer , Yaron Lipman

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

Tracking the trajectory of tennis players can help camera operators in production. Predicting future movement enables cameras to automatically track and predict a player's future trajectory without human intervention. Predicting future…

Computer Vision and Pattern Recognition · Computer Science 2024-11-08 Ali K. AlShami , Terrance Boult , Jugal Kalita

Ranking is a ubiquitous phenomenon in the human society. By clicking the web pages of Forbes, you may find all kinds of rankings, such as world's most powerful people, world's richest people, top-paid tennis stars, and so on and so forth.…

Data Analysis, Statistics and Probability · Physics 2015-06-03 Weibing Deng , Wei Li , Xu Cai , Alain Bulou , Qiuping A. Wang

Recent techniques for analyzing sports precisely has stimulated various approaches to improve player performance and fan engagement. However, existing approaches are only able to evaluate offline performance since testing in real-time…

Machine Learning · Computer Science 2022-11-23 Li-Chun Huang , Nai-Zen Hseuh , Yen-Che Chien , Wei-Yao Wang , Kuang-Da Wang , Wen-Chih Peng

In this paper we analyse tiebreak results from some tennis players in order to investigate whether we are able to identify some strategy in this crucial moment of the game. We compared the observed results with a binomial distribution…

Popular Physics · Physics 2016-06-20 I. Y. Kawashima , O. Helene , M. T. Yamashita , R. S. Marques de Carvalho