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Since the advent of high-resolution pitch tracking data (PITCHf/x), many in the sabermetrics community have attempted to quantify a Major League Baseball catcher's ability to "frame" a pitch (i.e. increase the chance that a pitch is called…

Applications · Statistics 2023-10-25 Sameer K. Deshpande , Abraham J. Wyner

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

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 present a fully convolutional neural network architecture that is capable of estimating full probability surfaces of potential passes in soccer, derived from high-frequency spatiotemporal data. The network receives layers of low-level…

Machine Learning · Computer Science 2021-08-05 Javier Fernández , Luke Bornn

Game AI systems need the theory of mind, which is the humanistic ability to infer others' mental models, preferences, and intent. Such systems would enable inferring players' behavior tendencies that contribute to the variations in their…

Human-Computer Interaction · Computer Science 2021-07-27 Murtuza N. Shergadwala , Zhaoqing Teng , Magy Seif El-Nasr

Recent decades have seen an interest in prediction problems for which Bayesian methodology has been used ubiquitously. Sampling from or approximating the posterior predictive distribution in a Bayesian model allows one to make inferential…

Machine Learning · Statistics 2017-09-12 Giri Gopalan

Evaluating sports players based on their performance shares core challenges with evaluating healthcare providers based on patient outcomes. Drawing on recent advances in healthcare provider profiling, we cast sports player evaluation within…

Applications · Statistics 2026-02-27 Herbert P. Susmann , Antonio D'Alessandro

In the present paper we demonstrate the results of a statistical analysis of some characteristics of precipitation events and propose a kind of a theoretical explanation of the proposed models in terms of mixed Poisson and mixed exponential…

Probability · Mathematics 2018-06-28 V. Yu. Korolev , A. K. Gorshenin , S. K. Gulev , K. P. Belyaev , A. A. Grusho

Statistical applications in sports have long centered on how to best separate signal (e.g. team talent) from random noise. However, most of this work has concentrated on a single sport, and the development of meaningful cross-sport…

Applications · Statistics 2017-11-23 Michael J. Lopez , Gregory J. Matthews , Benjamin S. Baumer

We develop a new method for stochastic optimization using the Bayesian statistics approach. More precisely, we optimize parameters of chess engines as those data are available to us, but the method should apply to all situations where we…

Optimization and Control · Mathematics 2022-07-06 Ivan Ivec , Ivana Vojnović

The prevalent model by Dixon and Coles (1997) extends the double Poisson model where two independent Poisson distributions model the number of goals scored by each team by moving probabilities between the scores 0-0, 0-1, 1-0, and 1-1. We…

Methodology · Statistics 2023-07-06 Rouven Michels , Marius Ötting , Dimitris Karlis

We present a new approach for identifying situations and behaviours, which we call "moves", from soccer games in the 2D simulation league. Being able to identify key situations and behaviours are useful capabilities for analysing soccer…

Machine Learning · Computer Science 2018-09-13 Olivia Michael , Oliver Obst , Falk Schmidsberger , Frieder Stolzenburg

As a dedicated follower of sports statistics and with the MLB season beginning in late March, I set out to predict how many wins each team would accumulate by the end of the 162 game season. The goal was to build a simulation framework…

Applications · Statistics 2025-05-09 Simon Cha

The expected possession value (EPV) of a soccer possession represents the likelihood of a team scoring or receiving the next goal at any time instance. By decomposing the EPV into a series of subcomponents that are estimated separately, we…

Machine Learning · Computer Science 2021-08-05 Javier Fernandez , Luke Bornn , Daniel Cervone

The approaches routinely used to model the outcomes of football matches are characterised by strong assumptions about the dependence between the number of goals scored by the two competing teams and their marginal distribution. In this…

Methodology · Statistics 2022-12-06 Marco Petretta , Lorenzo Schiavon , Jacopo Diquigiovanni

Causal inference has become an accepted analytic framework in settings where experimentation is impossible, which is frequently the case in sports analytics, particularly for studying in-game tactics. However, subtle differences in…

Applications · Statistics 2025-05-20 Shomoita Alam , Erica E. M. Moodie , Lucas Y. Wu , Tim B. Swartz

Mixture models are a standard tool in statistical analyses, widely used for density modeling and model-based clustering. In this work, we propose a Bayesian mixture model with repulsion between mixture components. Such repulsion helps…

Methodology · Statistics 2026-02-24 Hanxi Sun , Boqian Zhang , Minhyeok Kim , Vinayak Rao

The authors give an approximation method for Bayesian inference in arena model, which is focused on paired comparisons with eliminations and bifurcations. The approximation method simplifies the inference by reducing parameters and…

Methodology · Statistics 2019-11-20 Yutong Nie , Chenhe Zhang

In the sport of cricket, variations in a player's batting ability can usually be measured on one of two scales. Short-term changes in ability that are observed during a single innings, and long-term changes that are witnessed between…

Applications · Statistics 2019-03-19 Oliver G. Stevenson , Brendon J. Brewer

We present a detection problem where several spatially distributed sensors observe Poisson signals emitted from a single source of unknown position. The measurements at each sensor are modeled by independent inhomogeneous Poisson processes.…

Statistics Theory · Mathematics 2018-06-19 Christian Farinetto , Yury A. Kutoyants , Alioune Top
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