论文标题
通过光谱分析确定NBA阵容中的小组贡献
Identifying group contributions in NBA lineups with spectral analysis
论文作者
论文摘要
我们解决了如何量化球员对团队成功的贡献的问题。我们的方法基于光谱分析，这是来自代数信号处理的技术，该技术具有多个吸引人的特征。首先，我们的分析将团队成功信号分解为自然被理解为特定大小的玩家群体的组件：个人，成对，三分球，四分之二和完整的五人赛阵容。其次，分解是正交的，因此可以将玩家组的贡献视为纯粹：例如，归因于三个组的贡献已与组成对和个人的低阶贡献分开。我们使用NBA逐个游戏数据介绍了详细的光谱分析，并展示这是如何理解阵容组成和利用的实用工具。
We address the question of how to quantify the contributions of groups of players to team success. Our approach is based on spectral analysis, a technique from algebraic signal processing, which has several appealing features. First, our analysis decomposes the team success signal into components that are naturally understood as the contributions of player groups of a given size: individuals, pairs, triples, fours, and full five-player lineups. Secondly, the decomposition is orthogonal so that contributions of a player group can be thought of as pure: Contributions attributed to a group of three, for example, have been separated from the lower-order contributions of constituent pairs and individuals. We present detailed a spectral analysis using NBA play-by-play data and show how this can be a practical tool in understanding lineup composition and utilization.
