Anomaly Detection over Streaming Graphs with Finger-Based Higher-Order Graph Sketch

Min Lu, Qianzhen Zhang () and Xianqiang Zhu ()
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Min Lu: National Key Laboratory of Information Systems Engineering, National University of Defense Technology, Changsha 410073, China
Qianzhen Zhang: National Key Laboratory of Information Systems Engineering, National University of Defense Technology, Changsha 410073, China
Xianqiang Zhu: National Key Laboratory of Information Systems Engineering, National University of Defense Technology, Changsha 410073, China

Mathematics, 2024, vol. 12, issue 19, 1-19

Abstract: A streaming graph is a constantly growing sequence of edges, which forms a dynamic graph that changes with every edge in the stream. An anomalous behavior in a streaming graph can be modeled as an edge or a subgraph that is unusual compared to the rest of the graph. Identifying anomalous behaviors in real time is essential to the early warning of abnormal or notable events. Due to the complexity of the problem, little work has been reported so far to solve the problem. In this paper, we propose Finger-based Higher-order Graph Sketch (FHGS for short), which is an approximate data structure for streaming graphs with linear memory usage, high update speed, and high accuracy and supports both edge and subgraph anomaly detection. FHGS first maps each edge into a matrix based on hash functions, and then counts its frequency in a time window with unique fingerprints for detecting anomalies. Extensive experiments confirm that our approach generate high-quality results compared to baseline methods.

Keywords: streaming graph; data structure; anomaly detection (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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