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We present a robust framework with computational algorithms to support decision makers in sequential games. Our framework includes methods to solve games with complete information, assess the robustness of such solutions and, finally,…

Computation · Statistics 2024-02-22 Tahir Ekin , Roi Naveiro , Alberto Torres-Barrán , David Ríos-Insua

In soccer, contextual player performance metrics are invaluable to coaches. For example, the ability to perform under pressure during matches distinguishes the elite from the average. Appropriate pressure metric enables teams to assess…

Machine Learning · Computer Science 2024-03-08 Chaoyi Gu , Jiaming Na , Yisheng Pei , Varuna De Silva

The past two decades have seen a growing interest in combining causal information, commonly represented using causal graphs, with machine learning models. Probability trees provide a simple yet powerful alternative representation of causal…

Machine Learning · Computer Science 2022-05-18 Tue Herlau

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

Bayesian methods are useful for statistical inference. However, real-world problems can be challenging using Bayesian methods when the data analyst has only limited prior knowledge. In this paper we consider a class of problems, called…

Methodology · Statistics 2019-11-20 Yixuan Qiu , Lingsong Zhang , Chuanhai Liu

Datascouting is one of the most known data applications in professional sport, and specifically football. Its objective is to analyze huge database of players in order to detect high potentials that can be then individually considered by…

Machine Learning · Computer Science 2024-03-15 Simon Lacan

In the run-up to any major sports tournament, winning probabilities of participants are publicized for engagement and betting purposes. These are generally based on simulating the tournament tens of thousands of times by sampling from…

Computation · Statistics 2023-07-21 Ulrik Brandes , Gordana Marmulla , Ivana Smokovic

A team of association football players may be envisioned as a directed network with player nodes and weighted pass edges. Such a simplistic representation of an otherwise complex structure yields several benefits, but also permits the…

Social and Information Networks · Computer Science 2021-08-12 Vid Stropnik , Vuk Đuranović , Maruša Oražem

Statistical modelling strategy is the key for success in data analysis. The trade-off between flexibility and parsimony plays a vital role in statistical modelling. In clustered data analysis, in order to account for the heterogeneity…

Methodology · Statistics 2023-02-17 Tao Huang , Youquan Pei , Jinhong You , Wenyang Zhang

This paper describes how automated deduction methods for natural language processing can be applied more efficiently by encoding context in a more elaborate way. Our work is based on formal approaches to context, and we provide a tableau…

Artificial Intelligence · Computer Science 2007-05-23 Christof Monz

In this article, a model is proposed using Bayesian techniques to account for the high correlation between many observed set of contingency tables. In many real life data this high correlation is encountered. Simulation studies are also…

Methodology · Statistics 2013-10-01 Abhik Ghosh , Samit Roy , Sujatro Chaklader

In Major League Baseball, strategy and planning are major factors in determining the outcome of a game. Previous studies have aided this by building machine learning models for predicting the winning team of any given game. We extend this…

Machine Learning · Computer Science 2025-11-05 Morgan Allen , Paul Savala

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…

Machine Learning · Statistics 2015-11-19 Stylianos Kampakis , William Thomas

We illustrate how one can use basic combinatorial theory and computer programming technique (Python) to analyze the combinatorial game: Mahjong. The results confirm some folklore concerning the game, and expose some unexpected results.…

History and Overview · Mathematics 2019-01-24 Yuan Cheng , Chi-Kwong Li , Sharon H. Li

Huge amounts of money are invested every year by football clubs on transfers. For both growth and survival, it is crucial for recruiting departments to make smart choices when targeting players. Therefore, it is very important to identify…

Consider a multiplayer game, and assume a system level objective function, which the system wants to optimize, is given. This paper aims at accomplishing this goal via potential game theory when players can only get part of other players'…

Optimization and Control · Mathematics 2018-07-17 Changxi Li , Fenghua He , Hongsheng Qi , Daizhan Cheng

Women's football is gaining supporters and practitioners worldwide, raising questions about what the differences are with men's football. While the two sports are often compared based on the players' physical attributes, we analyze the…

Applications · Statistics 2021-09-15 Luca Pappalardo , Alessio Rossi , Giuseppe Pontillo , Michela Natilli , Paolo Cintia

Learning-augmented algorithms -- in which, traditional algorithms are augmented with machine-learned predictions -- have emerged as a framework to go beyond worst-case analysis. The overarching goal is to design algorithms that perform…

Data Structures and Algorithms · Computer Science 2022-02-10 Sungjin Im , Ravi Kumar , Aditya Petety , Manish Purohit

Fictitious play is an algorithm for computing Nash equilibria of matrix games. Recently, machine learning variants of fictitious play have been successfully applied to complicated real-world games. This paper presents a simple modification…

Computer Science and Game Theory · Computer Science 2022-12-21 Alex Cloud , Albert Wang , Wesley Kerr

The research area of algorithms with predictions has seen recent success showing how to incorporate machine learning into algorithm design to improve performance when the predictions are correct, while retaining worst-case guarantees when…

Machine Learning · Computer Science 2022-12-06 Michael Dinitz , Sungjin Im , Thomas Lavastida , Benjamin Moseley , Sergei Vassilvitskii