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Sparse anomaly detection across referentials: A rank-based higher criticism approach

跨参照总体的稀疏异常检测:基于秩的高阶批判方法

Detecting anomalies in large sets of observations is crucial in various applications, such as epidemiological studies, gene expression studies, and systems monitoring. We consider settings where the units of interest result in multiple independent observations from potentially distinct referentials. Scan statistics and related methods are commonly used in such settings, but rely on stringent modeling assumptions for proper calibration. We instead propose a rank-based variant…

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Anomaly Detection for a Large Number of Streams: A Permutation-Based Higher Criticism Approach

大量数据流的异常检测:基于置换的高批评统计量方法

Anomaly detection when observing a large number of data streams is essential in a variety of applications, ranging from epidemiological studies to monitoring of complex systems. High-dimensional scenarios are usually tackled with scan-statistics and related methods, requiring stringent modeling assumptions for proper calibration. In this work we take a nonparametric stance, and propose a permutation-based variant of the higher criticism statistic not requiring knowledge of…

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Distribution-Free Detection of Structured Anomalies: Permutation and Rank-Based Scans

结构化异常的无分布检测:置换扫描与秩扫描

The scan statistic is by far the most popular method for anomaly detection, being popular in syndromic surveillance, signal and image processing, and target detection based on sensor networks, among other applications. The use of the scan statistics in such settings yields a hypothesis testing procedure, where the null hypothesis corresponds to the absence of anomalous behavior. If the null distribution is known, then calibration of a scan-based test is relatively easy, as…

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