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Although basketball is a dualistic sport, with all players competing on both offense and defense, almost all of the sport's conventional metrics are designed to summarize offensive play. As a result, player valuations are largely based on…

应用统计 · 统计学 2015-05-29 Alexander Franks , Andrew Miller , Luke Bornn , Kirk Goldsberry

We study how individuals trade off outcome ("what") and process ("how") utility in high-stakes strategic decisions, namely professional tennis. Using optimality conditions and the second-service rule, we derive a sufficient condition for…

计量经济学 · 经济学 2026-05-25 Arnaud Dupuy

Multi-round competitions often double or triple the points awarded in the final round, calling it a bonus, to maximize spectators' excitement. In a two-player competition with $n$ rounds, we aim to derive the optimal bonus size to maximize…

计算机科学与博弈论 · 计算机科学 2024-06-10 Zhihuan Huang , Yuqing Kong , Tracy Xiao Liu , Grant Schoenebeck , Shengwei Xu

Tennis is a popular sport worldwide, boasting millions of fans and numerous national and international tournaments. Like many sports, tennis has benefitted from the popularity of rigorous record-keeping of game and player information, as…

机器学习 · 计算机科学 2019-10-09 Zijian Gao , Amanda Kowalczyk

We consider a two-hop cellular system in which the mobile nodes help the base station by relaying information to the dead spots. While two-hop cellular schemes have been analyzed previously, the distribution of the node locations has not…

信息论 · 计算机科学 2009-11-19 Radha Krishna Ganti , Martin Haenggi

The CoachAI Badminton 2023 Track1 initiative aim to automatically detect events within badminton match videos. Detecting small objects, especially the shuttlecock, is of quite importance and demands high precision within the challenge. Such…

计算机视觉与模式识别 · 计算机科学 2024-02-15 Po-Yung Chou , Yu-Chun Lo , Bo-Zheng Xie , Cheng-Hung Lin , Yu-Yung Kao

We present a comprehensive video-based analytics framework for tennis doubles that addresses the lack of automated analysis tools for this strategically complex sport. Our approach introduces a standardised annotation methodology…

计算机视觉与模式识别 · 计算机科学 2025-07-08 Jia Wei Chen

In this paper, we analyze a polling system on a circle. Random batches of customers arrive at a circle, where each customer, independently, obtains a uniform location. A single server cyclically travels over the circle to serve all…

概率论 · 数学 2025-03-07 Tim Engels , Ivo Adan , Onno Boxma , Jacques Resing

Bimanual tasks performed by human agents present unique optimal control considerations compared to cyberphysical agents. These considerations include minimizing attention, distributing attention across two isolated hands, and coordinating…

系统与控制 · 电气工程与系统科学 2025-03-18 Justin Ting , Jing Shuang Li

This paper is concerned with the reconnaissance game that involves two mobile agents: the Intruder and the Defender. The Intruder is tasked to reconnoiter a territory of interest (target region) and then return to a safe zone (retreat…

系统与控制 · 电气工程与系统科学 2023-03-22 Yoonjae Lee , Efstathios Bakolas

Bicycle-sharing systems, which can provide shared bike usage services for the public, have been launched in many big cities. In bicycle-sharing systems, people can borrow and return bikes at any stations in the service region very…

计算机与社会 · 计算机科学 2016-04-05 Jiawei Zhang , Xiao Pan , Moyin Li , Philip S. Yu

Two Beatty sequences are recorded by athletes running in opposite directions in a round stadium. This approach suggests a nice interpretation for well known partitioning criteria: such sequences (eventually) partition the integers…

数论 · 数学 2011-03-29 Y. Ginosar , I. Yona

Most conventional studies on tennis serve biomechanics rely on phenomenological observations comparing professional and amateur players or, more recently, on AI-driven statistical analyses of motion data. While effective at describing…

应用物理 · 物理学 2025-12-23 Sun-Hyun Youn

Over the past two decades, Machine Learning (ML) techniques have been increasingly utilized for the purpose of predicting outcomes in sport. In this paper, we provide a review of studies that have used ML for predicting results in team…

机器学习 · 计算机科学 2022-04-19 Rory Bunker , Teo Susnjak

Sequentially learning to place items in multi-position displays or lists is a task that can be cast into the multiple-play semi-bandit setting. However, a major concern in this context is when the system cannot decide whether the user…

机器学习 · 计算机科学 2016-06-09 Paul Lagrée , Claire Vernade , Olivier Cappé

In this study, we consider multi-class multi-server asymmetric queueing systems consisting of $N$ queues on one side and $K$ servers on the other side, where jobs randomly arrive in queues at each time. The service rate of each job-server…

机器学习 · 统计学 2025-05-07 Jung-hun Kim , Min-hwan Oh

In a basketball game, scoring efficiency holds significant importance due to the numerous offensive possessions per game. Enhancing scoring efficiency necessitates effective collaboration among players with diverse playing styles. In…

机器学习 · 计算机科学 2024-03-22 Kazuhiro Yamada , Keisuke Fujii

We present some foundational results about the outer length billiard system, including its generating function and the invariant area form. We describe the limiting behavior of the orbits far away from the billiard table: the orbits of the…

动力系统 · 数学 2025-10-10 Peter Albers , Lael Edwards-Costa , Serge Tabachnikov

We consider a billiard in the plane with periodic configuration of convex scatterers. This system is recurrent, in the sense that almost every orbit comes back arbitrarily close to the initial point. In this paper we study the time needed…

动力系统 · 数学 2015-05-13 Françoise Pène , Benoit Saussol

Robots in dynamic environments need fast, accurate models of how objects move in their environments to support agile planning. In sports such as ping pong, analytical models often struggle to accurately predict ball trajectories with spins…

机器人学 · 计算机科学 2025-02-24 Qingyu Xiao , Zixuan Wu , Matthew Gombolay