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We summarise popular methods used for skill rating in competitive sports, along with their inferential paradigms and introduce new approaches based on sequential Monte Carlo and discrete hidden Markov models. We advocate for a state-space…

应用统计 · 统计学 2024-08-20 Samuel Duffield , Samuel Power , Lorenzo Rimella

New continuous and stochastic extensions of the minority game, devised as a fundamental model for a market of competitive agents, are introduced and studied in the context of statistical physics. The new formulation reproduces the key…

统计力学 · 物理学 2009-10-31 Andrea Cavagna , Juan P. Garrahan , Irene Giardina , David Sherrington

Comparative Judgement is an assessment method where item ratings are estimated based on rankings of subsets of the items. These rankings are typically pairwise, with ratings taken to be the estimated parameters from fitting a Bradley-Terry…

统计方法学 · 统计学 2024-05-22 Ian Hamilton , Nick Tawn

Under certain circumstances such as lack of information or bounded rationality, human players can take decisions on which strategy to choose in a game on the basis of simple opinions. These opinions can be modified after each round by…

物理与社会 · 物理学 2015-06-05 Floriana Gargiulo , Jose J. Ramasco

Cricket betting is a multi-billion dollar market. Therefore, there is a strong incentive for models that can predict the outcomes of games and beat the odds provided by bookers. The aim of this study was to investigate to what degree it is…

机器学习 · 统计学 2015-11-19 Stylianos Kampakis , William Thomas

We present a general theoretical model for the spatio-temporal dynamics of animal contests. Inspired by interactions between physical particles, the model is formulated in terms of effective interaction potentials, which map typical…

生物物理 · 物理学 2022-12-01 Amir Haluts , Alex Jordan , Nir S. Gov

We consider a dynamic method, based on synchronization and adaptive control, to estimate unknown parameters of a nonlinear dynamical system from a given scalar chaotic time series. We present an important extension of the method when time…

混沌动力学 · 物理学 2009-10-31 Anil Maybhate , R. E. Amritkar

Temporal data distribution shift is prevalent in the financial text. How can a financial sentiment analysis system be trained in a volatile market environment that can accurately infer sentiment and be robust to temporal data distribution…

计算与语言 · 计算机科学 2023-10-20 Yue Guo , Chenxi Hu , Yi Yang

In this paper, we present betting strategy of a football game using probability theory. We know all betting houses offer slightly unfair odds towards the player. Here we discuss a simple way to figure out which betting house is offering…

应用统计 · 统计学 2017-06-07 Kanika Saha , Ananya Lahiri

The problem of continuous machine learning is studied. Within the framework of the game-theoretic approach, when for calculating the next forecast, no assumptions about the stochastic nature of the source that generates the data flow are…

机器学习 · 计算机科学 2023-10-31 Vladimir V'yugin , Vladimir Trunov

Multiwinner voting captures a wide variety of settings, from parliamentary elections in democratic systems to product placement in online shopping platforms. There is a large body of work dealing with axiomatic characterizations,…

计算机科学与博弈论 · 计算机科学 2023-12-12 Edith Elkind , Svetlana Obraztsova , Nicholas Teh

A popular quantitative approach to evaluating player performance in sports involves comparing an observed outcome to the expected outcome ignoring player involvement, which is estimated using statistical or machine learning methods. In…

应用统计 · 统计学 2026-05-22 Robert Bajons , Lucas Kook

Shapley values are great analytical tools in game theory to measure the importance of a player in a game. Due to their axiomatic and desirable properties such as efficiency, they have become popular for feature importance analysis in data…

机器学习 · 计算机科学 2020-10-26 Ramin Okhrati , Aldo Lipani

We present a framework that gives a deep insight into the link between physical and technical-tactical aspects of soccer and it allows associating physical performance with value generation thanks to a top-down approach. First, we estimate…

机器学习 · 统计学 2022-04-06 Sergio Llana , Borja Burriel , Pau Madrero , Javier Fernández

In this article we revise the football's performance score called PlayeRank, designed and evaluated by Pappalardo et al.\ in 2019. First, we analyze the weights extracted from the Linear Support Vector Machine (SVM) that solves the…

机器学习 · 计算机科学 2024-10-29 Louise Schmidt , Cristian Lillo , Javier Bustos

This paper develops mathematical tools to estimate seasonal changes in measles transmission rates and corresponding variation in population susceptibility. The tools are designed to leverage times series of cases in the absence of…

种群与进化 · 定量生物学 2024-05-17 Niket Thakkar , Sonia Jindal , Katherine Rosenfeld

In recent years excessive monetization of football and professionalism among the players has been argued to have affected the quality of the match in different ways. On the one hand, playing football has become a high-income profession and…

物理与社会 · 物理学 2023-01-05 Victor Martins Maimone , Taha Yasseri

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

We propose a method for generating a temporally remapped video that matches the desired target duration while maximally preserving natural video dynamics. Our approach trains a neural network through self-supervision to recognize and…

计算机视觉与模式识别 · 计算机科学 2022-05-12 Simon Jenni , Markus Woodson , Fabian Caba Heilbron

In sports analytics, home field advantage is a robust phenomenon where the home team wins more games than the away team. However, discovering the causal factors behind home field advantage presents unique challenges due to the…

应用统计 · 统计学 2025-06-16 Minhao Qi , Hengrui Cai , Guanyu Hu , Weining Shen