Given a huge, online stream of time-evolving events with multiple attributes, such as online shopping logs: (item, price, brand, time), and local mobility activities: (pick-up and drop-off locations, time), how can we summarize large, dynamic high-order tensor streams? How can we see any hidden patterns, rules, and anomalies? Our answer is to focus on two types of patterns, i.e., ''regimes'' and ''components'', for which we present CubeScope, an efficient and effective method over high-order tensor streams. Specifically, it identifies any sudden discontinuity and recognizes distinct dynamical patterns, ''regimes'' (e.g., weekday/weekend/holiday patterns). In each regime, it also performs multi-way summarization for all attributes (e.g., item, price, brand, and time) and discovers hidden ''components'' representing latent groups (e.g., item/brand groups) and their relationship. Thanks to its concise but effective summarization, CubeScope can also detect the sudden appearance of anomalies and identify the types of anomalies that occur in practice. Our proposed method has the following properties: (a) Effective: it captures dynamical multi-aspect patterns, i.e., regimes and components, and statistically summarizes all the events; (b) General: it is practical for successful application to data compression, pattern discovery, and anomaly detection on various types of tensor streams; (c) Scalable: our algorithm does not depend on the length of the data stream and its dimensionality. Extensive experiments on real datasets demonstrate that CubeScope finds meaningful patterns and anomalies correctly, and consistently outperforms the state-of-the-art methods as regards accuracy and execution speed.
翻译:鉴于在线交易日志等具有多种属性的时间变化事件的巨大在线流,例如在线购物日志(项目、价格、品牌、时间)和本地流动活动:(选择和下降地点、时间),我们如何总结大型、动态高阶高压流?我们如何能看到任何隐藏模式、规则和异常?我们的答案是侧重于两种类型的模式,即“regimes”和“构件 ”,我们为此展示了CubeScope,这是高阶抗冲流的高效和有效方法。具体来说,它识别了任何突发的不连续性,并承认了不同的动态模式、“regime”(如周/周/周/周/周)和“holiday”模式。在每一个制度中,它也能够对所有属性(如项目、价格、品牌和时间)进行多方向的多方向拼凑,并发现“develop compecial resulate conditions” (如:直径、直径、直流/直径、直径、直径、直径、直系组)及其关系。由于其精度、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直、直、直系、直系、直系、直系、直、直系、直、直、直、直、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系、直系</s>