• français
    • English
    français
  • Login
Help
View Item 
  •   Home
  • Institut de Recherche de l’École navale (IRENAV)
  • View Item
  • Home
  • Institut de Recherche de l’École navale (IRENAV)
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Analyse de la vulnérabilité d’un réseau via la mesure de l’entropie de Von Neumann.

Communication avec acte
Author
BAY-AHMED, Hadj-Ahmed
DARE-EMZIVAT, Delphine
ccBOUDRAA, Abdel-Ouahab
13094 Institut de Recherche de l'Ecole Navale [IRENAV]

URI
http://hdl.handle.net/10985/23425
Date
2019-09

Abstract

In this work, we present a new strategy for measuring the vulnerability of network connections, modeled by a graph, via the variations of the Von Neumann entropy of the density matrix associated to this graph, this one being seen as a quantum system. We show that the change of the weight of an edge impacts the resulting Von Neumann entropy, which includes not only the intensity of the perturbation induced but also a quantity related to the degrees of the nodes adjacent to the perturbed edge. An algorithm based on this strategy has been developed. The obtained results confirm the relevance of this new measure. Our algorithm highlights the discontinuities that could appear in the structure by proposing a hierarchical decomposition into subgraphs relative to the degrees of vulnerability of the edges. The obtained map guarantees a better network security.

Files in this item

Name:
IRENAV_GRETSI_2019_BAY-AHMED.pdf
Size:
872.6Kb
Format:
PDF
Description:
Article Gretsi 2019
View/Open

Collections

  • Institut de Recherche de l’École navale (IRENAV)

Related items

Showing items related by title, author, creator and subject.

  • On signal denoising by EMD in the frequency domain 
    Communication avec acte
    BAY-AHMED, Hadj-Ahmed; KOMATY, Ali; DARE-EMZIVAT, Delphine; ccBOUDRAA, Abdel-Ouahab (2015)
    In this work a new denoising scheme based on the empirical mode decomposition associated with a frequency analysis is introduced. Compared to classical approaches where the extracted modes are thresholded in time domain, ...
  • A Joint Spectral Similarity Measure for Graphs Classification 
    Article dans une revue avec comité de lecture
    BAY-AHMED, Hadj-Ahmed; ccBOUDRAA, Abdel-Ouahab; DARE-EMZIVAT, Delphine (Elsevier, 2019)
    In spite of the simple linear relationship between the adjacency A and the Laplacian L matrices, L=D-A where D is the degrees matrix, these matrices seem to reveal informations about the graph in different ways, where it ...
  • Graph Signals Classification Using Total Variation and Graph Energy Informations 
    Communication avec acte
    BAY-AHMED, Hadj-Ahmed; DARE-EMZIVAT, Delphine; ccBOUDRAA, Abdel-Ouahab (2017)
    In this work, we consider the problem of graph signals classification. We investigate the relevance of two attributes, namely the total variation (TV) and the graph energy (GE) for graph signals classification. The TV is ...
  • Classification des Signaux sur Graphes par Mesures Spectrales Algébriques 
    Communication avec acte
    BAY-AHMED, Hadj-Ahmed; ccBOUDRAA, Abdel-Ouahab; DARE-EMZIVAT, Delphine; PREAUX, Yves (2017)
    La notion de mesure de similarité est très importante dans de nombreux domaines tels que l’apprentissage statistique, la fouille de données ou les sciences cognitives. Dans cet article, nous nous intéressons à la similarité ...
  • Détection d’épilepsie dans les signaux EEG par graphe de visibilité et un noyau de SVM adapté 
    Communication avec acte
    AVERTY, Tristan; DARE-EMZIVAT, Delphine; ccBOUDRAA, Abdel-Ouahab (GRETSI, 2022-09)
    Dans cet article, nous présentons une stratégie de détection d’épilepsie à partir de signaux EEG (issus d’un seul capteur) basée sur l’algorithme de visibilité, qui consiste à transformer une série temporelle en un graphe ...

Browse

All SAMCommunities & CollectionsAuthorsIssue DateCenter / InstitutionThis CollectionAuthorsIssue DateCenter / Institution

Newsletter

Latest newsletterPrevious newsletters

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors

ÉCOLE NATIONALE SUPERIEURE D'ARTS ET METIERS

  • Contact
  • Mentions légales

ÉCOLE NATIONALE SUPERIEURE D'ARTS ET METIERS

  • Contact
  • Mentions légales