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We report an emergence of bifurcation in basketball, a single-particle system governed by Newtonian mechanics. When shooting the basketball, the obvious control parameters are the launch speed and the launch angle. We propose to use the…

Popular Physics · Physics 2016-12-06 Byeong June Min

This paper studies the performative prediction problem which optimizes a stochastic loss function with data distribution that depends on the decision variable. We consider a setting where the agent(s) provides samples adapted to the…

Optimization and Control · Mathematics 2021-10-05 Qiang Li , Hoi-To Wai

We introduce a compact probabilistic model for two-player and two-team (four-player) squash matches, along with a practical skill-comparison rule derived from point-scoring probabilities. Using recorded shot types and court locations, we…

Applications · Statistics 2025-12-03 Prathamesh Anwekar , Kaushal Kirpekar , Mahesh B , Sainath Bitragunta

We address the problem of distributed cooperative localization in wireless networks, i.e. nodes without prior position knowledge (agents) wish to determine their own positions. In non-cooperative approaches, positioning is only based on…

Signal Processing · Electrical Eng. & Systems 2018-02-09 Rico Mendrzik , Gerhard Bauch

Basketball games evolve continuously in space and time as players constantly interact with their teammates, the opposing team, and the ball. However, current analyses of basketball outcomes rely on discretized summaries of the game that…

Applications · Statistics 2017-01-11 Daniel Cervone , Alex D'Amour , Luke Bornn , Kirk Goldsberry

Although basketball is a dynamic process sport, with 5 plus 5 players competing on both offense and defense simultaneously, learning some static information is predominant for professional players, coaches and team mangers. In order to have…

Applications · Statistics 2021-04-05 Guanyu Hu , Hou-Cheng Yang , Yishu Xue , Dipak K. Dey

This work addresses task planning under uncertainty for precision agriculture applications whereby task costs are uncertain and the gain of completing a task is proportional to resource consumption (such as water consumption in precision…

Robotics · Computer Science 2021-02-04 Xinyue Kan , Thomas C. Thayer , Stefano Carpin , Konstantinos Karydis

Previous work on fantasy basketball has established methods for optimizing team construction for head-to-head formats. This has been facilitated by the straightforwardness of calculating the objective function for those formats, given that…

Methodology · Statistics 2025-01-03 Zach Rosenof

We present a novel representation of NBA players' shooting patterns based on Functional Data Analysis (FDA). Each player's charts of made and missed shots are treated as smooth functional data defined over a two-dimensional domain…

Applications · Statistics 2026-01-06 Steven Golovkine , Edward Gunning

In the one-dimensional facility assignment problem, m facilities and n agents are positioned along the real line. Each agent will be assigned to a single facility to receive service. Each facility incurs a building cost, which is shared…

Computer Science and Game Theory · Computer Science 2024-04-16 Mengfan Ma , Mingyu Xiao , Tian Bai , Xin Cheng

This paper studies algorithmic fairness when the protected attribute is location. To handle protected attributes that are continuous, such as age or income, the standard approach is to discretize the domain into predefined groups, and…

Machine Learning · Computer Science 2023-02-27 Dimitris Sacharidis , Giorgos Giannopoulos , George Papastefanatos , Kostas Stefanidis

this paper addresses the issue of the relation between the system efficiency and the individual performance with different combinations of agent memory lengths in mix-game model which is an extension of minority game (MG). In mix-game,…

Physics and Society · Physics 2007-05-23 Chengling Gou

We study a model of competition among nomadic agents for time-varying and location-specific resources, arising in crowd-sourced transportation services, online communities, and traditional location-based economic activity. This model…

Computer Science and Game Theory · Computer Science 2018-08-17 Pu Yang , Krishnamurthy Iyer , Peter Frazier

In this work, we propose a novel way of efficiently localizing a soccer field from a single broadcast image of the game. Related work in this area relies on manually annotating a few key frames and extending the localization to similar…

Computer Vision and Pattern Recognition · Computer Science 2016-04-12 Namdar Homayounfar , Sanja Fidler , Raquel Urtasun

Predicting outcomes in sports is important for teams, leagues, bettors, media, and fans. Given the growing amount of player tracking data, sports analytics models are increasingly utilizing spatially-derived features built upon player…

Machine Learning · Computer Science 2022-07-29 Peter Xenopoulos , Claudio Silva

This paper introduces a new model and methodology for estimating the ability of NBA players. The main idea is to directly measure how good a player is by comparing how their team performs when they are on the court as opposed to when they…

Applications · Statistics 2010-08-05 Paul Fearnhead , Benjamin M. Taylor

It is often said that a sign of a great player is that he makes the players around him better. The player may or may not score much himself, but his teammates perform better when he plays. One way a hockey player can improve his or her…

Applications · Statistics 2013-07-25 Brian Macdonald , Christopher Weld , David C. Arney

We study a non-cooperative two-sided facility location game in which facilities and clients behave strategically. This is in contrast to many other facility location games in which clients simply visit their closest facility. Facility…

Computer Science and Game Theory · Computer Science 2024-06-14 Simon Krogmann , Pascal Lenzner , Alexander Skopalik

Congestion games are popular models often used to study the system-level inefficiencies caused by selfish agents, typically measured by the price of anarchy. One may expect that aligning the agents' preferences with the system-level…

Computer Science and Game Theory · Computer Science 2024-09-04 Bryce L Ferguson , Dario Paccagnan , Bary S R Pradelski , Jason R Marden

Feature allocation models postulate a sampling distribution whose parameters are derived from shared features. Bayesian models place a prior distribution on the feature allocation, and Markov chain Monte Carlo is typically used for model…

Methodology · Statistics 2022-07-29 David B. Dahl , Devin J. Johnson , R. Jacob Andros
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