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In recent years, analytics has started to revolutionize the game of basketball: quantitative analyses of the game inform team strategy, management of player health and fitness, and how teams draft, sign, and trade players. In this review,…

Applications · Statistics 2020-07-22 Zachary Terner , Alexander Franks

This project aims to assess the performance of various regression models in predicting the performance of hockey players. The measure of performance is chosen to be points scored (sum of goals scored and assists made) by individual players…

Computers and Society · Computer Science 2018-11-08 Shuja Khalid

Sports organizations often want to estimate athlete strengths. For games with scored outcomes, a common approach is to assume observed game scores follow a normal distribution conditional on athletes' latent abilities, which may change over…

Methodology · Statistics 2023-07-18 Jonathan Che , Mark Glickman

A popular quantitative approach to evaluating player performance in sports involves comparing an observed outcome to the expected outcome ignoring player involvement, which is estimated using statistical or machine learning methods. In…

Applications · Statistics 2026-05-22 Robert Bajons , Lucas Kook

A detailed set of experiments are described that capture over a 1000 different instances of the bounce of a golf ball. Video analysis is used to capture velocity and spin immediately prior to and subsequent to each bounce for a wide variety…

Classical Physics · Physics 2023-02-07 Stanisław W. Biber , Kristian M. Jones , Alan R. Champneys , Riku Green , Robert Szalai

We study the relationship between performance and practice by analyzing the activity of many players of a casual online game. We find significant heterogeneity in the improvement of player performance, given by score, and address this by…

Computers and Society · Computer Science 2017-03-16 Tushar Agarwal , Keith A. Burghardt , Kristina Lerman

Track and field world records have risen and fallen throughout the history of the sport. A recent rash of record-breaking performances has prompted the question: "How good can we get?". This article offers a review of several attempts to…

Popular Physics · Physics 2007-05-23 J. R. Mureika

Educators teaching entry-level university engineering modules face the challenge of identifying which topics students find most difficult and how to support diverse student needs effectively. This study demonstrates a rigorous yet…

Computers and Society · Computer Science 2025-06-03 Yiwei Sun

Outlier detection algorithms typically assign an outlier score to each observation in a dataset, indicating the degree to which an observation is an outlier. However, these scores are often not comparable across algorithms and can be…

Machine Learning · Computer Science 2024-10-31 Philipp Röchner , Henrique O. Marques , Ricardo J. G. B. Campello , Arthur Zimek , Franz Rothlauf

Whole robustness is a nice property to have for statistical models. It implies that the impact of outliers gradually vanishes as they approach plus or minus infinity. So far, the Bayesian literature provides results that ensure whole…

Methodology · Statistics 2018-08-14 Alain Desgagné , Philippe Gagnon

Accurately estimating human skill levels is crucial for designing effective human-AI interactions so that AI can provide appropriate challenges or guidance. In games where AI players have beaten top human professionals, strength estimation…

Machine Learning · Computer Science 2025-05-02 Kyota Kuboki , Tatsuyoshi Ogawa , Chu-Hsuan Hsueh , Shi-Jim Yen , Kokolo Ikeda

Outliers introduce significant training challenges in neural networks by propagating erroneous gradients, which can degrade model performance and generalization. We propose the Z-Error Loss, a statistically principled approach that…

Machine Learning · Computer Science 2025-06-04 Guillaume Godin

The productive career of a professional athlete is limited compared to the normal human lifespan. Most professional athletes have retired by age 40. The early retirement age is due to a combination of age-related performance and life…

Methodology · Statistics 2025-01-17 Monnie McGee , Jacob Turner , Bianca Luedeker

Drafting strong players is crucial for the team success. We describe a new data-driven interpretable approach for assessing draft prospects in the National Hockey League. Successful previous approaches have built a predictive model based on…

Machine Learning · Computer Science 2018-02-27 Oliver Schulte , Yejia Liu , Chao Li

Game theory provides a general mathematical background to study the effect of pair interactions and evolutionary rules on the macroscopic behavior of multi-player games where players with a finite number of strategies may represent a wide…

Physics and Society · Physics 2016-04-20 Gyorgy Szabo , Istvan Borsos

This study applies complexity sciences to analyze the game of Padel. Data from 18 professional matches were collected, and the probability distributions of the total number of shots and the probability distribution of rallies' duration were…

Physics and Society · Physics 2023-08-09 A. Chacoma , O. V. Billoni

Although basketball is a dynamic process sport, with 5 plus 5 players competing on both offense and defense simultaneously, learning some static information is predominant for professional players, coaches and team mangers. In order to have…

Applications · Statistics 2021-04-05 Guanyu Hu , Hou-Cheng Yang , Yishu Xue , Dipak K. Dey

Games often incorporate random elements in the form of dice or shuffled card decks. This randomness is a key contributor to the player experience and the variety of game situations encountered. There is a tension between a level of…

Artificial Intelligence · Computer Science 2025-03-05 James Goodman , Diego Perez-Liebana , Simon Lucas

In soccer (or association football), players quickly go from heroes to zeroes, or vice-versa. Performance is not a static measure but a somewhat volatile one. Analyzing performance as a time series rather than a stationary point in time is…

Machine Learning · Computer Science 2022-09-09 Tiago Mendes-Neves , Luís Meireles , João Mendes-Moreira

In this paper we present a novel approach to optimise tactical and strategic decision making in football (soccer). We model the game of football as a multi-stage game which is made up from a Bayesian game to model the pre-match decisions…

Artificial Intelligence · Computer Science 2020-03-24 Ryan Beal , Georgios Chalkiadakis , Timothy J. Norman , Sarvapali D. Ramchurn