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We present a novel algorithm for game-theoretic trajectory planning, tailored for settings in which agents can only observe one another in specific regions of the state space. Such problems arise naturally in the context of multi-robot…

Multiagent Systems · Computer Science 2024-06-18 Kushagra Gupta , David Fridovich-Keil

The field of machine learning has seen tremendous progress in recent years, with deep learning models delivering exceptional performance across a range of tasks. However, these models often come at the cost of interpretability, as they…

Machine Learning · Computer Science 2024-01-08 Shun Liu

A hybrid simulation-based framework involving system dynamics and agent-based simulation is proposed to address duopoly game considering multiple strategic decision variables and rich payoff, which cannot be addressed by traditional…

Computer Science and Game Theory · Computer Science 2020-09-22 Dong Xu , Chao Meng , Qingpeng Zhang , Puneet Bhardwaj , Young-Jun Son

Determining an individual's strategic reasoning capability based solely on choice data is a complex task. This complexity arises because sophisticated players might have non-equilibrium beliefs about others, leading to non-equilibrium…

General Economics · Economics 2026-02-04 Wei James Chen , Meng-Jhang Fong , Po-Hsuan Lin

In many predictive decision-making scenarios, such as credit scoring and academic testing, a decision-maker must construct a model that accounts for agents' propensity to "game" the decision rule by changing their features so as to receive…

Machine Learning · Computer Science 2022-08-26 Yonadav Shavit , Benjamin Edelman , Brian Axelrod

We propose a multidimensional tensor clustering approach for studying how professional basketball players' shooting patterns vary over court locations and game time. Unlike most existing methods that only study continuous-valued tensors or…

Methodology · Statistics 2022-05-23 Guanyu Hu , Yishu Xue , Weining Shen

The past century has seen a steady increase in the need of estimating and predicting complex systems and making (possibly critical) decisions with limited information. Although computers have made possible the numerical evaluation of…

Statistics Theory · Mathematics 2017-01-13 Houman Owhadi , Clint Scovel

In the sports of soccer, hockey and basketball the most commonly used statistics for player performance assessment are divided into two categories: offensive statistics and defensive statistics. However, qualitative assessments of…

Applications · Statistics 2017-04-04 Shael Brown

In-game win probability models, which provide a sports team's likelihood of winning at each point in a game based on historical observations, are becoming increasingly popular. In baseball, basketball and American football, they have become…

Machine Learning · Computer Science 2021-08-16 Pieter Robberechts , Jan Van Haaren , Jesse Davis

Modeling the purposeful behavior of imperfect agents from a small number of observations is a challenging task. When restricted to the single-agent decision-theoretic setting, inverse optimal control techniques assume that observed behavior…

Computer Science and Game Theory · Computer Science 2013-08-19 Kevin Waugh , Brian D. Ziebart , J. Andrew Bagnell

Sports game data is becoming increasingly complex, often consisting of multivariate data such as player performance stats, historical team records, and athletes' positional tracking information. While numerous visual analytics systems have…

Human-Computer Interaction · Computer Science 2022-09-02 Tica Lin , Zhutian Chen , Yalong Yang , Daniele Chiappalupi , Johanna Beyer , Hanspeter Pfister

Dynamic game theory is an increasingly popular tool for modeling multi-agent, e.g. human-robot, interactions. Game-theoretic models presume that each agent wishes to minimize a private cost function that depends on others' actions. These…

Robotics · Computer Science 2025-10-17 Cade Armstrong , Ryan Park , Xinjie Liu , Kushagra Gupta , David Fridovich-Keil

This paper aims to reduce randomness in football by analysing the role of lineups in final scores using machine learning prediction models we have developed. Football clubs invest millions of dollars on lineups and knowing how individual…

Machine Learning · Computer Science 2023-01-18 George Peters , Diogo Pacheco

Today's competition between the professional eSports teams is so strong that in-depth analysis of players' performance literally crucial for creating a powerful team. There are two main approaches to such an estimation: obtaining features…

Human-Computer Interaction · Computer Science 2019-08-20 Anton Smerdov , Evgeny Burnaev , Andrey Somov

This paper presents a data driven universal ball trajectory prediction method integrated with physics equations. Existing methods are designed for specific ball types and struggle to generalize. This challenge arises from three key factors.…

Machine Learning · Computer Science 2025-03-26 Zhiwei Shi , Chengxi Zhu , Fan Yang , Jun Yan , Zheyun Qin , Songquan Shi , Zhumin Chen

In this paper, we describe an approach to rank sport players based on their efficiency. Although is extremely useful to analyze the performance of team games there is no unanimity on the use of a single index to perform such a ranking. We…

Optimization and Control · Mathematics 2018-02-21 Víctor Blanco , Román Salmerón , Samuel Gómez-Haro

Interactive multi-agent simulation algorithms are used to compute the trajectories and behaviors of different entities in virtual reality scenarios. However, current methods involve considerable parameter tweaking to generate plausible…

Graphics · Computer Science 2018-12-04 Jiaping Ren , Wei Xiang , Yangxi Xiao , Ruigang Yang , Dinesh Manocha , Xiaogang Jin

In this paper I present several algorithmic techniques for improving the decision process of multiple types of agents behaving in environments where their interests are in conflict. The interactions between the agents are modelled by using…

Computer Science and Game Theory · Computer Science 2009-08-04 Mugurel Ionut Andreica

Box score statistics in the National Basketball Association are used to measure and evaluate player performance. Some of these statistics are subjective in nature and since box score statistics are recorded by scorekeepers hired by the home…

Applications · Statistics 2019-09-10 Matthew van Bommel , Luke Bornn

This manuscript is focused on features' definition for the outcome prediction of matches of NBA basketball championship. It is shown how models based on one a single feature (Elo rating or the relative victory frequency) have a quality of…

Machine Learning · Computer Science 2021-11-19 Manlio Migliorati
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