The widespread deployment of smartphones and location-enabled, networked in-vehicle devices renders it increasingly feasible to collect streaming trajectory data of moving objects. The continuous clustering of such data can enable a variety of real-time services, such as identifying representative paths or common moving trends among objects in real-time. However, little attention has so far been given to the quality of clusters -- for example, it is beneficial to smooth short-term fluctuations in clusters to achieve robustness to exceptional data. We propose the notion of evolutionary clustering of streaming trajectories, abbreviated ECO, that enhances streaming-trajectory clustering quality by means of temporal smoothing that prevents abrupt changes in clusters across successive timestamps. Employing the notions of snapshot and historical trajectory costs, we formalize ECO and then formulate ECO as an optimization problem and prove that ECO can be performed approximately in linear time, thus eliminating the iterative processes employed in previous studies. Further, we propose a minimal-group structure and a seed point shifting strategy to facilitate temporal smoothing. Finally, we present all algorithms underlying ECO along with a set of optimization techniques. Extensive experiments with two real-life datasets offer insight into ECO and show that it outperforms state-of-the-art solutions in terms of both clustering quality and efficiency.
翻译:广泛部署智能手机和定位驱动的车辆内装置,使得收集移动物体的流轨数据越来越可行。这些数据的连续组合可以提供各种实时服务,例如实时确定具有代表性的路径或物体之间的共同移动趋势。然而,迄今很少注意集群的质量 -- -- 例如,有利于在集群中平滑短期波动,以实现稳健的例外数据。我们提出流轨的渐进组合组合概念,即简化的经合组织,通过时间平滑的方式提高流轨组合质量,防止连续时间戳破组群突变。采用快照和历史轨迹成本的概念,我们正式确定经合组织,然后将经合组织作为一个优化问题,并证明经合组织可以大约在线性时间进行,从而消除以往研究中使用的迭接过程。此外,我们提议采用一个最小的分组结构和种子点转移战略,以便利时间平滑。最后,我们提出所有经合组织的演算法,同时提出一套优化技术,从而防止连续时间戳破碎的组合群群群群群突变换。我们用快速式的实验,用两种现实-质量数据分析方式展示了经合组织的系统,展示了两种形式,展示了现状-质量解决办法。