What do football passes and financial transactions have in common? Both are networked walk processes that we can observe, where records take the form of timestamped events that move something tangible from one node to another. Here we propose an approach to analyze this type of data that extracts the actual trajectories taken by the tangible items involved. The main advantage of analyzing the resulting trajectories compared to using, e.g., existing temporal network analysis techniques, is that sequential, temporal, and domain-specific aspects of the process are respected and retained. As a result, the approach lets us produce contextually-relevant insights. Demonstrating the usefulness of this technique, we consider passing play within association football matches (an unweighted process) and e-money transacted within a mobile money system (a weighted process). Proponents and providers of mobile money care to know how these systems are used—using trajectory extraction we find that 73% of e-money was used for stand-alone tasks and only 21.7% of account holders built up substantial savings at some point during a 6-month period. Coaches of football teams and sports analysts are interested in strategies of play that are advantageous. Trajectory extraction allows us to replicate classic results from sports science on data from the 2018 FIFA World Cup. Moreover, we are able to distinguish teams that consistently exhibited complex, multi-player dynamics of play during the 2017–2018 club season using ball passing trajectories, coincidentally identifying the winners of the five most competitive first-tier domestic leagues in Europe.

足球通行证和金融交易有什么共同点？两者都是我们可以观察到的网络步行过程，其中记录采用带有时间戳记的事件的形式，这些事件将有形的东西从一个节点移动到另一个节点。在这里，我们提出了一种分析此类数据的方法，该方法提取了所涉及的有形物品所采取的实际轨迹。与使用例如现有的时间网络分析技术相比，分析所得轨迹的主要优点是，尊重并保留了过程的顺序，时间和领域特定方面。结果，该方法使我们能够产生与上下文相关的见解。证明了这项技术的实用性，我们考虑在协会足球比赛中传递比赛（非加权过程），并在移动货币系统中进行电子货币交易（加权过程）。支持移动货币的支持者和提供商知道如何使用这些系统-通过使用轨迹提取，我们发现73％的电子货币用于独立任务，而只有21.7％的帐户持有人在交易过程中的某个时候积累了可观的积蓄。 6个月的时间。橄榄球队的教练和体育分析员对有利的比赛策略感兴趣。轨迹提取使我们能够从2018年FIFA世界杯的数据中复制体育科学的经典结果。此外，我们能够通过传球轨迹来区分在2017-2018年俱乐部赛季期间始终展现出复杂的多人游戏动态的球队，