Offense-Defense Approach to Ranking Team Sports
نویسندگان
چکیده
The rank of an object is its relative importance to the other objects in the set. Often a rank is an integer assigned from the set 1,...,n. A ranking model is a method of determining a way in which the ranks are assigned. Usually a ranking model uses information available on the objects to determine their respective ratings. The most recognized application of ranking is the competitive sports. Numerous ranking models have been created over the years to compute the team ratings for various sports. In this paper we propose a flexible, easily coded, fast, iterative approach we call the Offense-Defense Model (ODM), to generating team ratings. The convergence of the ODM is grounded in the theory of matrix balancing. ∗Our special thanks go to Luke Ingram who has worked on developing ODM in his Masters thesis with Amy Langville.
منابع مشابه
Game Intelligence in Team Sports
We set up a game theoretic framework to analyze a wide range of situations from team sports. A fundamental idea is the concept of potential; the probability of the offense scoring the next goal minus the probability that the next goal is made by the defense. We develop categorical as well as continuous models, and obtain optimal strategies for both offense and defense. A main result is that the...
متن کاملThe Evaluation of the Team Performance of MLB Applying PageRank Algorithm
Background. There is a weakness that the win-loss ranking model in the MLB now is calculated based on the result of a win-loss game, so we assume that a ranking system considering the opponent’s team performance is necessary. Objectives. This study aims to suggest the PageRank algorithm to complement the problem with ranking calculated with winning ratio in calculating team ranking of US MLB. ...
متن کاملInvestigating the multivariate nature of NHL player performance with structural equation modeling
Hockey is a complex and multifaceted game, yet many of the statistical tools used to evaluate performance are univariate. To garner a better understanding of hockey's multifaceted nature, two structural equation models (SEMs) assessing the interrelations between offense, defense, and possession were built from three seasons of NHL data. Overall, it was found that the concepts of offense, defens...
متن کاملHalf Field Offense in RoboCup Soccer: A Multiagent Reinforcement Learning Case Study
We present half field offense, a novel subtask of RoboCup simulated soccer, and pose it as a problem for reinforcement learning. In this task, an offense team attempts to outplay a defense team in order to shoot goals. Half field offense extends keepaway [11], a simpler subtask of RoboCup soccer in which one team must try to keep possession of the ball within a small rectangular region, and awa...
متن کاملWho ’ s # 1 ? The Science Of Building Ranking Systems
Sports ranking models were the main area of research for our REU project. We studied several different models and the theory behind them. Utilizing MATLAB as a programming language, we used these models to predict game outcomes and point spreads, and compare the relative value of statistics as indicators of team strength. Keener’s Direct Method (1993) ranking model was the starting point in our...
متن کامل