Eigen-Value Based Multivariate Selfsimilarity Analysis in Internet Traffic: A Case Study

Internet traffic modeling and analysis is critical for network design and for cybersecurity. Internet time series are well characterized by scalefree temporal dynamics. However, scalefree analysis remained so far univariate, applied independently to directional counts of either bytes or packets while chal-lenges in cybersecurity naturally call for multivariate analysis. Elaborating on recent theoretical developments on eigenvalue-based multivariate self-similarity analysis, this work provides evidence, for the first time, of multivariate self-similarity in 17 years of Internet traffic data from the MAWI repository. It discusses the potential use of multivariate self-similarity for regular background traffic characterization and anomaly detection.

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Published
2025-09-08
DOI
https://doi.org/10.23919/eusipco63237.2025.11226771
Primary Topic
Network Traffic and Congestion Control
Type
article
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Eigen-Value Based Multivariate Selfsimilarity Analysis in Internet Traffic: A Case Study

Herwig Wendt, Patrice Abry, Kenjiro Cho, Romain Fontugne et al.
Network Traffic and Congestion Control
article

Eigen-Value Based Multivariate Selfsimilarity Analysis in Internet Traffic: A Case Study

Herwig Wendt, Patrice Abry, Kenjiro Cho, Romain Fontugne, Gustavo Didier, Kensuke Fukuda
article en

Abstract

Internet traffic modeling and analysis is critical for network design and for cybersecurity. Internet time series are well characterized by scalefree temporal dynamics. However, scalefree analysis remained so far univariate, applied independently to directional counts of either bytes or packets while chal-lenges in cybersecurity naturally call for multivariate analysis. Elaborating on recent theoretical developments on eigenvalue-based multivariate self-similarity analysis, this work provides evidence, for the first time, of multivariate self-similarity in 17 years of Internet traffic data from the MAWI repository. It discusses the potential use of multivariate self-similarity for regular background traffic characterization and anomaly detection.

École Normale Supérieure de Lyon (FR), Tulane University (US), Centre National de la Recherche Scientifique (FR), Université Toulouse III - Paul Sabatier (FR), National Institute of Informatics (JP), Université Toulouse-I-Capitole (FR), Laboratoire de Physique de l'ENS de Lyon (FR), Institut de Recherche en Informatique de Toulouse (FR), IIJ Research Laboratory (JP), Université Toulouse - Jean Jaurès (FR), Institut Polytechnique de Bordeaux (FR)
Openalex Percentile: Top 61%
Network Traffic and Congestion Control
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Eigen-Value Based Multivariate Selfsimilarity Analysis in Internet Traffic: A Case Study — Herwig Wendt, Patrice Abry, et al. · (2025) | TGRS Research Map | TGRS