论文标题

控制足球的球进展

Controlling ball progression in soccer

论文作者

Pfaff, Catherine, Hunter, Emily, Hong, Haozhi, Forestell, Daniel, Fialkov, Ari, Drassinower, Zoey, Chan, Timothy

论文摘要

在本文中,我们研究了足球运动员如何利用他们的空间关系来控制场地的一部分并安全地通过``安全配置''的链条播放场地,即球员在团队中的配置,以确保球拥有者拥有一系列开放的传球选项,这些选项都通过开放的传球通道连接。我们工作背后的基本哲学是,当这支进攻团队有多个``好''选择如何在每时每刻进行的选择时,都最难破坏进攻球队的进步(与球)。我们提供了一些证据。我们的主要结构是一个有向加权图的图形,节点编码玩家的配置,有向边的配置编码这些配置之间的转换,并且权重编码转换的相对频率。我们以一些申请结束,并提出了进一步的调查。我们认为,我们的工作可以作为启动平台,以进一步进一步调查团队如何“安全地进步”球场,战略制定和复杂的决策指标。对于教练和球员来说,我们的目标是简化安全上场的过程。特别是,我们旨在构建一个框架,以创建新的成功运动模式和目标,我们的框架可以制定新战略。同时,我们的工作可以帮助识别现场的配置,这些配置通常会导致失误或允许大量的战略灵活性(也阻碍了攻击团队的防御性遏制)。 *由于女性作者对本文的贡献绝不比男性作者的作者少,因此我们选择逆转惯例并按照字母顺序列出作者,以确保仅在男性作者之后才列出女性作者。

In this paper, we examine how soccer players can use their spatial relationships to control parts of the field and safely move play up the field via chains of ``safe configurations,'' i.e. configurations of players on a team ensuring the possessor of the ball has a collection of open passing options all connected by open passing lanes. An underlying philosophy behind our work is that it is most difficult to disrupt an attacking team's progression forward (with the ball) when this attacking team has multiple ``good'' options of how to proceed at each moment in time. We provide some evidence of this. Our main construction is a directed weighted graph where the nodes encode the configurations of players, the directed edges encode transformations between these configurations, and the weights encode the relative frequencies of the transformations. We conclude with a few applications and proposed further investigations. We believe that our work can serve as a launching platform for significant further investigation into how teams can ``safely progress'' the ball up the field, strategy development, and sophisticated decision making metrics. For coaches and players, we aim to streamline the process of moving safely up the field. In particular, we aim to construct a framework for creating new successful patterns of movement and aim that our framework allows for the development of new strategy. At the same time, our work could help identify configurations on the field which often result in turnovers or that allow for a lot of strategic flexibility (also impeding defensive containment of the attacking team). *Because the contributions of the female authors to this paper were by no means less than those of the male authors, we have chosen to reverse convention and to list the authors in reverse alphabetical order to ensure that the female authors were not listed only after the male authors.

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