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Attribution scores reflect how important the feature values in an input entity are for the output of a machine learning model. One of the most popular attribution scores is the SHAP score, which is an instantiation of the general Shapley…

Artificial Intelligence · Computer Science 2024-08-14 Santiago Cifuentes , Leopoldo Bertossi , Nina Pardal , Sergio Abriola , Maria Vanina Martinez , Miguel Romero

Expected points is a value function fundamental to player evaluation and strategic in-game decision-making across sports analytics, particularly in American football. To estimate expected points, football analysts use machine learning…

Applications · Statistics 2024-09-10 Ryan S. Brill , Ryan Yee , Sameer K. Deshpande , Abraham J. Wyner

Scouting is a major part of talent acquisition for any professional sports team. In the National Hockey League (NHL), the market for scouting is set by the NHLs Central Scouting Service which develops a ranking of draft eligible players. In…

Applications · Statistics 2014-11-24 Michael Schuckers , Steve Argeris

Match-fixing undermines the integrity of sport by eroding public trust and threatening the financial sustainability of clubs and leagues. The global expansion of sports betting markets has created new incentives and opportunities for…

General Economics · Economics 2026-05-29 David Winkelmann , Maya Vienken , Christian Deutscher , Roland Langrock

Sports analytics -- broadly defined as the pursuit of improvement in athletic performance through the analysis of data -- has expanded its footprint both in the professional sports industry and in academia over the past 30 years. In this…

Applications · Statistics 2023-01-11 Benjamin S. Baumer , Gregory J. Matthews , Quang Nguyen

In recent years, great emphasis has been placed on the prediction of association football. Due to this, several studies have proposed different types of statistical models to predict the outcome of a football match. However, most existing…

Methodology · Statistics 2025-08-11 Roberto Macrì-Demartino , Leonardo Egidi , Nicola Torelli

Technological advances have paved the way for collecting high-resolution network data in basketball, football, and other team-based sports. Such data consist of interactions among players of competing teams indexed by space and time.…

Applications · Statistics 2024-02-14 Nicholas Grieshop , Yong Feng , Guanyu Hu , Michael Schweinberger

The Shapley value, which is arguably the most popular approach for assigning a meaningful contribution value to players in a cooperative game, has recently been used intensively in explainable artificial intelligence. Its meaningfulness is…

Machine Learning · Computer Science 2024-01-31 Patrick Kolpaczki , Viktor Bengs , Maximilian Muschalik , Eyke Hüllermeier

The coefficient of determination, the $R^2$, is often used to measure the variance explained by an affine combination of multiple explanatory covariates. An attribution of this explanatory contribution to each of the individual covariates…

Methodology · Statistics 2020-08-11 Daniel Fryer , Inga Strumke , Hien Nguyen

Academic performance depends on a multivariable nexus of socio-academic and financial factors. This study investigates these influences to develop effective strategies for optimizing students' CGPA. To achieve this, we reviewed various…

Machine Learning · Computer Science 2025-08-04 Bushra Akter , Md Biplob Hosen , Sabbir Ahmed , Mehrin Anannya , Md. Farhad Hossain

While Explainable Artificial Intelligence (XAI) is increasingly expanding more areas of application, little has been applied to make deep Reinforcement Learning (RL) more comprehensible. As RL becomes ubiquitous and used in critical and…

Artificial Intelligence · Computer Science 2021-10-05 Alexandre Heuillet , Fabien Couthouis , Natalia Díaz-Rodríguez

Designing fair compensation mechanisms for demand response (DR) is challenging. This paper models the problem in a game theoretic setting and designs a payment distribution mechanism based on the Shapley Value. As exact computation of the…

Computer Science and Game Theory · Computer Science 2014-03-27 Gearóid O'Brien , Abbas El Gamal , Ram Rajagopal

Soccer Simulation 2D (SS2D) is a simulation of a real soccer game in two dimensions. In soccer, passing behavior is an essential action for keeping the ball in possession of our team and creating goal opportunities. Similarly, for SS2D,…

Artificial Intelligence · Computer Science 2024-01-09 Nader Zare , Mahtab Sarvmaili , Aref Sayareh , Omid Amini , Stan Matwin Amilcar Soares

The Shapley value concept from cooperative game theory has become a popular technique for interpreting ML models, but efficiently estimating these values remains challenging, particularly in the model-agnostic setting. Here, we revisit the…

Machine Learning · Computer Science 2021-04-26 Ian Covert , Su-In Lee

The availability of massive data about sports activities offers nowadays the opportunity to quantify the relation between performance and success. In this study, we analyze more than 6,000 games and 10 million events in six European leagues…

Applications · Statistics 2017-11-17 Luca Pappalardo , Paolo Cintia

Drafting strong players is crucial for the team success. We describe a new data-driven interpretable approach for assessing draft prospects in the National Hockey League. Successful previous approaches have built a predictive model based on…

Machine Learning · Computer Science 2018-02-27 Oliver Schulte , Yejia Liu , Chao Li

Originally introduced in cooperative game theory, Shapley values have become a very popular tool to explain machine learning predictions. Based on Shapley's fairness axioms, every input (feature component) gets a credit how it contributes…

Machine Learning · Statistics 2025-08-19 Michael Mayer , Mario V. Wüthrich

This study employs Bayesian methodologies to explore the influence of player or positional factors in predicting the probability of a shot resulting in a goal, measured by the expected goals (xG) metric. Utilising publicly available data…

Applications · Statistics 2025-01-14 Alexander Scholtes , Oktay Karakuş

We address the problem of finding influential training samples for a particular case of tree ensemble-based models, e.g., Random Forest (RF) or Gradient Boosted Decision Trees (GBDT). A natural way of formalizing this problem is studying…

Machine Learning · Computer Science 2018-03-14 Boris Sharchilev , Yury Ustinovsky , Pavel Serdyukov , Maarten de Rijke

While artificial intelligence has achieved superhuman performance in chess, developing models that accurately emulate the individualized decision-making styles of human players remains a significant challenge. Existing human-like chess…

Artificial Intelligence · Computer Science 2026-05-13 Loris Sogliuzzo , Aloïs Rautureau , Eric Piette
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