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In J. Schwenk.(2018) ['What is the Correct Way to Seed a Knockout Tournament?' Retrieved from The American Mathematical Monthly], Schwenk identified a surprising weakness in the standard method of seeding a single elimination (or knockout)…

Probability · Mathematics 2021-02-19 Zijie Zhou

In this work, we compare three different modeling approaches for the scores of soccer matches with regard to their predictive performances based on all matches from the four previous FIFA World Cups 2002 - 2014: Poisson regression models,…

Applications · Statistics 2018-06-14 Andreas Groll , Christophe Ley , Gunther Schauberger , Hans Van Eetvelde

We extract and use player position time-series data, tagged along with the action types, to build a competent model for representing team tactics behavioral patterns and use this representation to predict the outcome of arbitrary movements.…

Machine Learning · Computer Science 2021-09-17 Omid Shokrollahi , Bahman Rohani , Amin Nobakhti

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

The analysis of games and sports as complex systems can give insights into the dynamics of human competition, and has been proven useful in soccer, basketball, and other professional sports. In this paper we present a model for dodgeball, a…

Physics and Society · Physics 2021-01-04 Perrin E. Ruth , Juan G. Restrepo

We explore a new way to evaluate generative models using insights from evaluation of competitive games between human players. We show experimentally that tournaments between generators and discriminators provide an effective way to evaluate…

Machine Learning · Statistics 2018-08-16 Catherine Olsson , Surya Bhupatiraju , Tom Brown , Augustus Odena , Ian Goodfellow

In recent years sports analytics has gotten more and more popular. We propose a model for Rugby data - in particular to model the 2014 Six Nations tournament. We propose a Bayesian hierarchical model to estimate the characteristics that…

Other Computer Science · Computer Science 2016-07-05 Peadar Coyle

Problem definition: Professional sports leagues may be suspended due to various reasons such as the recent COVID-19 pandemic. A critical question the league must address when re-opening is how to appropriately select a subset of the…

Optimization and Control · Mathematics 2024-04-02 Ali Hassanzadeh , Mojtaba Hosseini , John G. Turner

NBA team managers and owners try to acquire high-performing players. An important consideration in these decisions is how well the new players will perform in combination with their teammates. Our objective is to identify elite five-person…

Applications · Statistics 2023-09-28 Susan E. Martonosi , Martin Gonzalez , Nicolas Oshiro

In this paper, we propose two novel basketball metrics: ``expected points'' for team-based comparisons and ``expected points above average (EPAA)'' as a player-evaluation tool. Established within the Bayesian hierarchical model framework,…

Other Statistics · Statistics 2025-08-05 Benjamin Williams , Erin M. Schliep , Bailey Fosdick , Ryan Elmore

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2018-11-14 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

The Bradley-Terry model has previously been used in both Bayesian and frequentist interpretations to evaluate the strengths of sports teams based on win-loss game results. It has also been extended to handle additional possible results such…

Applications · Statistics 2023-01-10 John T. Whelan , Jacob E. Klein

This work studies the threats of adversarial attack on multivariate probabilistic forecasting models and viable defense mechanisms. Our studies discover a new attack pattern that negatively impact the forecasting of a target time series via…

Machine Learning · Computer Science 2023-04-17 Linbo Liu , Youngsuk Park , Trong Nghia Hoang , Hilaf Hasson , Jun Huan

Evaluating the accuracies of models for match outcome predictions is nice and well but in the end the real proof is in the money to be made by betting. To evaluate the question whether the models developed by us could be used easily to make…

Applications · Statistics 2017-02-21 Albrecht Zimmermann

Evaluating the overall ability of players in the National Hockey League (NHL) is a difficult task. Existing methods such as the famous "plus/minus" statistic have many shortcomings. Standard linear regression methods work well when player…

Applications · Statistics 2013-03-01 A. C. Thomas , Samuel L. Ventura , Shane Jensen , Stephen Ma

The paper presents a hierarchical Bayesian model for simultaneous inference of tournament graphs and informant error. From multiple informant reports or measurement instrument outputs, the model estimates the structure of a criterion (i.e.,…

Methodology · Statistics 2013-10-14 Ben Hanowell

The progression of a single point in volleyball starts with a serve and then alternates between teams, each team allowed up to three contacts with the ball. Using charted data from the 2022 NCAA Division I women's volleyball season (4,147…

Applications · Statistics 2025-06-09 Scott Powers , Luke Stancil , Naomi Consiglio

For some time, point-differential has been thought to be a better predictor for future NBA success than pure win-loss record. Most ranking and team performance predictions rely largely on point-differential, often with some normalizations…

Applications · Statistics 2019-12-04 Samuel Henry

Evaluation of students' performance for the completion of courses has been a major problem for both students and faculties during the work-from-home period in this COVID pandemic situation. To this end, this paper presents an in-depth…

Machine Learning · Computer Science 2020-09-08 Vipul Bansal , Himanshu Buckchash , Balasubramanian Raman

Soccer attracts the attention of many researchers and professionals in the sports industry. Therefore, the incorporation of science into the sport is constantly growing, with increasing investments in performance analysis and sports…

Social and Information Networks · Computer Science 2024-09-23 Eduardo Alves Baratela , Felipe Jordão Xavier , Thomas Peron , Paulino Ribeiro Villas-Boas , Francisco Aparecido Rodrigues
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