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In recent years, data-driven approaches have become a popular tool in a variety of sports to gain an advantage by, e.g., analysing potential strategies of opponents. Whereas the availability of play-by-play or player tracking data in sports…

Applications · Statistics 2020-03-25 Marius Ötting

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

Based on NFL game data we try to predict the outcome of a play in multiple different ways. An application of this is the following: by plugging in various play options one could determine the best play for a given situation in real time.…

Machine Learning · Computer Science 2016-01-05 Brendan Teich , Roman Lutz , Valentin Kassarnig

Quarterback performance can be difficult to rank, and much effort has been spent in creating new rating systems. However, the input statistics for such ratings are subject to randomness and factors outside the quarterback's control. To…

Other Statistics · Statistics 2019-10-30 Laura A. Albert , John N. Angelis

In-game win probability models, which provide a sports team's likelihood of winning at each point in a game based on historical observations, are becoming increasingly popular. In baseball, basketball and American football, they have become…

Machine Learning · Computer Science 2021-08-16 Pieter Robberechts , Jan Van Haaren , Jesse Davis

Defensive Pass Interference (DPI) is one of the most impactful penalties in the NFL. DPI is a spot foul, yielding an automatic first down to the team in possession. With such an influence on the game, referees have no room for a mistake. It…

Machine Learning · Computer Science 2022-06-28 Arian Skoki , Jonatan Lerga , Ivan Štajduhar

Conformal prediction, a post-hoc, distribution-free, finite-sample method of uncertainty quantification that offers formal coverage guarantees under the assumption of data exchangeability. Unfortunately, the resulting uncertainty regions…

Machine Learning · Computer Science 2026-04-21 Nikolaos Bousias , Lars Lindemann , George Pappas

Conformal prediction provides distribution-free prediction intervals with finite-sample coverage guarantees, and recent work by Snell \& Griffiths reframes it as Bayesian Quadrature (BQ-CP), yielding powerful data-conditional guarantees via…

Machine Learning · Computer Science 2026-04-09 Xiayin Lou , Peng Luo

Conformal Prediction (CP) is a popular method for uncertainty quantification with machine learning models. While conformal prediction provides probabilistic guarantees regarding the coverage of the true label, these guarantees are agnostic…

Machine Learning · Computer Science 2025-10-21 Aditya T. Vadlamani , Anutam Srinivasan , Pranav Maneriker , Ali Payani , Srinivasan Parthasarathy

Unlike other major professional sports, American football lacks comprehensive statistical ratings for player evaluation that are both reproducible and easily interpretable in terms of game outcomes. Existing methods for player evaluation in…

Applications · Statistics 2018-07-13 Ronald Yurko , Samuel Ventura , Maksim Horowitz

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

This letter considers a network comprising a transmitter, which employs random linear network coding to encode a message, a legitimate receiver, which can recover the message if it gathers a sufficient number of linearly independent coded…

Cryptography and Security · Computer Science 2022-03-08 Amjad Saeed Khan , Andrea Tassi , Ioannis Chatzigeorgiou

American football is a leading sport for contact-related injuries such as cervical spine injuries, some of which result from an unforeseen hit. The use of a feedback mechanism to alert an athlete of a potential hit may mitigate the risk for…

Systems and Control · Electrical Eng. & Systems 2021-02-09 Moeen Mostafavi , Fateme Nikseresht , Jacob Earl Resch , Laura Barnes , Mehdi Boukhechba

We introduce a "high probability" framework for repeated games with incomplete information. In our non-equilibrium setting, players aim to guarantee a certain payoff with high probability, rather than in expected value. We provide a high…

Computer Science and Game Theory · Computer Science 2015-09-30 Payam Delgosha , Amin Gohari , Mohammad Akbarpour

The Acceptance Probability Estimation Problem (APEP) is to additively approximate the acceptance probability of a Boolean circuit. This problem admits a probabilistic approximation scheme. A central question is whether we can design a…

Computational Complexity · Computer Science 2021-03-16 Peter Dixon , A. Pavan , N. V. Vinodchandran

Tackling is a fundamental defensive move in American football, with the main purpose of stopping the forward motion of the ball-carrier. However, current tackling metrics are manually recorded outcomes that are inherently flawed due to…

Applications · Statistics 2025-01-08 Quang Nguyen , Ruitong Jiang , Meg Ellingwood , Ronald Yurko

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

In recent years, many different approaches have been proposed to quantify the performances of soccer players. Since player performances are challenging to quantify directly due to the low-scoring nature of soccer, most approaches estimate…

Machine Learning · Computer Science 2021-05-31 Jan Van Haaren

Over the last few decades, the player recruitment process in professional football has evolved into a multi-billion industry and has thus become of vital importance. To gain insights into the general level of their candidate reinforcements,…

Machine Learning · Statistics 2018-09-17 Bart Aalbers , Jan Van Haaren

The objective of this study was to incorporate contextual information into the modelling of player movements. This was achieved by combining the distributions of forthcoming passing contests that players committed to and those they did not.…

Applications · Statistics 2019-07-26 Bartholomew Spencer , Karl Jackson , Sam Robertson