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Spectral CUSUM for Online Network Structure Change Detection. (arXiv:1910.09083v4 [math.ST] UPDATED)
Web: http://arxiv.org/abs/1910.09083
June 24, 2022, 1:11 a.m. | Minghe Zhang, Liyan Xie, Yao Xie
cs.LG updates on arXiv.org arxiv.org
Detecting abrupt changes in the community structure of a network from noisy
observations is a fundamental problem in statistics and machine learning. This
paper presents an online change detection algorithm called Spectral-CUSUM to
detect unknown network structure changes through a generalized likelihood ratio
statistic. We characterize the average run length (ARL) and the expected
detection delay (EDD) of the Spectral-CUSUM procedure and prove its asymptotic
optimality. Finally, we demonstrate the good performance of the Spectral-CUSUM
procedure and compare it with …
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