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We consider the task of determining the number of chances a soccer team creates, along with the composite nature of each chance-the players involved and the locations on the pitch of the assist and the chance. We propose an interpretable…

Applications · Statistics 2018-02-26 Gavin A. Whitaker , Ricardo Silva , Daniel Edwards

This study employs Bayesian methodologies to explore the influence of player or positional factors in predicting the probability of a shot resulting in a goal, measured by the expected goals (xG) metric. Utilising publicly available data…

Applications · Statistics 2025-01-14 Alexander Scholtes , Oktay Karakuş

There is a long standing debate over how to objectively compare the career achievements of professional athletes from different historical eras. Developing an objective approach will be of particular importance over the next decade as Major…

Physics and Society · Physics 2011-03-17 Alexander M. Petersen , Orion Penner , H. Eugene Stanley

Data analytics in sports is crucial to evaluate the performance of single players and the whole team. The literature proposes a number of tools for both offence and defence scenarios. Data coming from tracking location of players, in this…

Applications · Statistics 2019-06-28 Tullio Facchinetti , Rodolfo Metulini , Paola Zuccolotto

We use a simple machine learning model, logistically-weighted regularized linear least squares regression, in order to predict baseball, basketball, football, and hockey games. We do so using only the thirty-year record of which visiting…

Applications · Statistics 2017-05-16 Alexander Dubbs

In this paper, we present a novel sequential team selection model in soccer. Specifically, we model the stochastic process of player injury and unavailability using player-specific information learned from real-world soccer data.…

Artificial Intelligence · Computer Science 2024-02-08 Gregory Everett , Ryan Beal , Tim Matthews , Timothy J. Norman , Sarvapali D. Ramchurn

We study multistep Bayesian betting strategies in coin-tossing games in the framework of game-theoretic probability of Shafer and Vovk (2001). We show that by a countable mixture of these strategies, a gambler or an investor can exploit…

Trading and Market Microstructure · Quantitative Finance 2010-08-23 Kei Takeuchi , Masayuki Kumon , Akimichi Takemura

We aim to produce predictive models that are not only accurate, but are also interpretable to human experts. Our models are decision lists, which consist of a series of if...then... statements (e.g., if high blood pressure, then stroke)…

Applications · Statistics 2015-11-06 Benjamin Letham , Cynthia Rudin , Tyler H. McCormick , David Madigan

We study the problem of off-policy evaluation for slate bandits, for the typical case in which the logging policy factorizes over the slots of the slate. We slightly depart from the existing literature by taking Bayes risk as the criterion…

Machine Learning · Computer Science 2021-01-08 Nikos Vlassis , Fernando Amat Gil , Ashok Chandrashekar

A ray-tracing method inspired by ergodic billiards is used to estimate the theoretically best decision rule for a set of linear separable examples. While the Bayes-optimum requires a majority decision over all Perceptrons separating the…

Condensed Matter · Physics 2007-05-23 Pal Rujan

We propose a Bayesian nonparametric matrix clustering approach to analyze the latent heterogeneity structure in the shot selection data collected from professional basketball players in the National Basketball Association (NBA). The…

Methodology · Statistics 2020-10-19 Fan Yin , Guanyu Hu , Weining Shen

An empirical Bayes problem has an unknown prior to be estimated from data. The predictive recursion (PR) algorithm provides fast nonparametric estimation of mixing distributions and is ideally suited for empirical Bayes applications. This…

Statistics Theory · Mathematics 2012-10-19 Ryan Martin

High throughput screening of compounds (chemicals) is an essential part of drug discovery [7], involving thousands to millions of compounds, with the purpose of identifying candidate hits. Most statistical tools, including the industry…

Machine Learning · Statistics 2017-09-29 Ivo D. Shterev , David B. Dunson , Cliburn Chan , Gregory D. Sempowski

The analysis of income and wealth inequality is often constrained by the lack of reliable data. In this work, we introduce a proxy-based approach in which sports performance data are used to mimic economic distributions. In particular, the…

Physics and Society · Physics 2026-05-06 Soumendra Nath Ruz , Asim Ghosh

Owning up to the authors' occasional mixed performances when playing darts we follow up on the ingenious work to determine the optimal aim to score high by Tibshirani et. al [JRS A 174, 213 (2011)] and expand on maximal expected reward…

Popular Physics · Physics 2024-04-30 Merlin Füllgraf , Jochen Gemmer

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

An adjoint-based optimization is applied to study the thrust performance of a pitching-rolling ellipsoidal plate in a uniform stream at Reynolds number 100. To achieve the highest thrust, the optimal kinematics of pitching-rolling motion is…

Fluid Dynamics · Physics 2018-09-13 Min Xu , Mingjun Wei , Chengyu Li , Haibo Dong

Active metric learning is the problem of incrementally selecting high-utility batches of training data (typically, ordered triplets) to annotate, in order to progressively improve a learned model of a metric over some input domain as…

Machine Learning · Computer Science 2021-08-03 Priyadarshini K , Siddhartha Chaudhuri , Vivek Borkar , Subhasis Chaudhuri

This article presents a holistic compound Poisson regression model framework to forecast number of corner kicks taken in association football. Corner kick taken events are often decisive in the match outcome and inherently arrive in batch…

Applications · Statistics 2023-11-08 Stan Yip , Yinghong Zou , Ronald Tsz Hin Hung , Ka Fai Cedric Yiu

The success rate of a basketball shot may be higher at locations where a player makes more shots. For a marked spatial point process, this means that the mark and the intensity are associated. We propose a Bayesian joint model for the mark…

Applications · Statistics 2023-02-02 Jieying Jiao , Guanyu Hu , Jun Yan
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