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We propose an original model for inferring team strengths using a Markov Random Field, which can be used to generate historical estimates of the offensive and defensive strengths of a team over time. This model was designed to be applied to…

机器学习 · 统计学 2013-05-10 John Zech , Frank Wood

Gaussian process regression is a widely-applied method for function approximation and uncertainty quantification. The technique has gained popularity recently in the machine learning community due to its robustness and interpretability. The…

机器学习 · 统计学 2022-10-12 Marcus M. Noack , James A. Sethian

Scientifically evaluating soccer players represents a challenging Machine Learning problem. Unfortunately, most existing answers have very opaque algorithm training procedures; relevant data are scarcely accessible and almost impossible to…

机器学习 · 计算机科学 2021-01-15 Paul Garnier , Théophane Gregoir

A quest for uncovering influence of behaviour on team performance involves understanding individual behaviour, interactions with others and environment, variations across groups, and effects of interventions. Although insights into each of…

物理与社会 · 物理学 2025-04-11 Hidemasa Ishii , Yohei Takai , Yuichiro Marui , Yoshihiro Yamazaki , Yusuke Kato , Hiroshi Kori

In this paper, we study the problem of learning the skill distribution of a population of agents from observations of pairwise games in a tournament. These games are played among randomly drawn agents from the population. The agents in our…

机器学习 · 统计学 2020-06-16 Ali Jadbabaie , Anuran Makur , Devavrat Shah

Gaussian process regression (GPR) is a fundamental model used in machine learning. Owing to its accurate prediction with uncertainty and versatility in handling various data structures via kernels, GPR has been successfully used in various…

机器学习 · 计算机科学 2021-12-16 Yuya Yoshikawa , Tomoharu Iwata

Gaussian processes are rich distributions over functions, which provide a Bayesian nonparametric approach to smoothing and interpolation. We introduce simple closed form kernels that can be used with Gaussian processes to discover patterns…

机器学习 · 统计学 2014-01-03 Andrew Gordon Wilson , Ryan Prescott Adams

In this short note, we reify the connection between work on the storage capacity problem in wide two-layer treelike neural networks and the rapidly-growing body of literature on kernel limits of wide neural networks. Concretely, we observe…

无序系统与神经网络 · 物理学 2022-05-02 Jacob A. Zavatone-Veth , Cengiz Pehlevan

Injuries have a great impact on professional soccer, due to their large influence on team performance and the considerable costs of rehabilitation for players. Existing studies in the literature provide just a preliminary understanding of…

In most sports, especially football, most coaches and analysts search for key performance indicators using notational analysis. This method utilizes a statistical summary of events based on video footage and numerical records of goal…

机器学习 · 计算机科学 2022-07-26 Chenyao Li , Stylianos Kampakis , Philip Treleaven

Deep Gaussian Processes learn probabilistic data representations for supervised learning by cascading multiple Gaussian Processes. While this model family promises flexible predictive distributions, exact inference is not tractable.…

机器学习 · 统计学 2020-10-23 Jakob Lindinger , David Reeb , Christoph Lippert , Barbara Rakitsch

Bayesian methods in machine learning, such as Gaussian processes, have great advantages com-pared to other techniques. In particular, they provide estimates of the uncertainty associated with a prediction. Extending the Bayesian approach to…

量子物理 · 物理学 2019-05-20 Zhikuan Zhao , Alejandro Pozas-Kerstjens , Patrick Rebentrost , Peter Wittek

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,…

应用统计 · 统计学 2018-06-14 Andreas Groll , Christophe Ley , Gunther Schauberger , Hans Van Eetvelde

We propose a new mathematical model for the decision-making of players in football (soccer) and the efficiency of the game style. Our approach is based on $4$-networks, which is a mathematical concept that we introduce. The decision of…

综合数学 · 数学 2024-01-31 Brahim Boudine

In consumer theory, ranking available objects by means of preference relations yields the most common description of individual choices. However, preference-based models assume that individuals: (1) give their preferences only between pairs…

机器学习 · 计算机科学 2023-02-02 Alessio Benavoli , Dario Azzimonti , Dario Piga

Predicting the outcomes of future events is a challenging problem for which a variety of solution methods have been explored and attempted. We present an empirical comparison of a variety of online and offline adaptive algorithms for…

人工智能 · 计算机科学 2012-07-02 Varsha Dani , Omid Madani , David M Pennock , Sumit Sanghai , Brian Galebach

This paper develops a general framework for stochastic modeling of goals and other events in football (soccer) matches. The events are modelled as Cox processes (doubly stochastic Poisson processes) where the event intensities may depend on…

Several machine learning problems arising in natural language processing can be modeled as a sequence labeling problem. We provide Gaussian process models based on pseudo-likelihood approximation to perform sequence labeling. Gaussian…

机器学习 · 计算机科学 2016-09-22 P. K. Srijith , P. Balamurugan , Shirish Shevade

Game theory relies heavily on the availability of cardinal utility functions, but in fields such as matching markets, only ordinal preferences are typically elicited. The literature focuses on mechanisms with simple dominant strategies, but…

计算机科学与博弈论 · 计算机科学 2024-08-22 Fabian R. Pieroth , Martin Bichler

This study explores the relationship between the performance of a football team and the topological parameters of temporal passing networks. To achieve this, we propose a method to identify moments of high and low team performance based on…

物理与社会 · 物理学 2025-06-13 Andres Chacoma