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Mathematics > Algebraic Topology

arXiv:2210.08891 (math)
[Submitted on 17 Oct 2022]

Title:A Simplified Algorithm for Identifying Abnormal Changes in Dynamic Networks

Authors:Bouchaib Azamir, Driss Bennis, Bertrand Michel
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Abstract:Topological data analysis has recently been applied to the study of dynamic networks. In this context, an algorithm was introduced and helps, among other things, to detect early warning signals of abnormal changes in the dynamic network under study. However, the complexity of this algorithm increases significantly once the database studied grows. In this paper, we propose a simplification of the algorithm without affecting its performance. We give various applications and simulations of the new algorithm on some weighted networks. The obtained results show clearly the efficiency of the introduced approach. Moreover, in some cases, the proposed algorithm makes it possible to highlight local information and sometimes early warning signals of local abnormal changes.
Subjects: Algebraic Topology (math.AT); Combinatorics (math.CO); Statistics Theory (math.ST)
MSC classes: 55N35, 55U99, 91B84
Cite as: arXiv:2210.08891 [math.AT]
  (or arXiv:2210.08891v1 [math.AT] for this version)
  https://doi.org/10.48550/arXiv.2210.08891
Journal reference: Physica A: Statistical Mechanics and its Applications, Available online 5 October 2022, 128224
Related DOI: https://doi.org/10.1016/j.physa.2022.128224

Submission history

From: Driss Bennis [view email]
[v1] Mon, 17 Oct 2022 09:39:42 UTC (4,247 KB)
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