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Detecting Stubborn Behaviors in Influence Networks : A Model-Based Approach for Resilient Analysis

Raineri, Roberta ; Ravazzi, Chiara ; Como, Giacomo LU and Fagnani, Fabio (2024) In IEEE Control Systems Letters 8. p.2343-2348
Abstract

The wide spread of on-line social networks poses new challenges in information environment and cybersecurity. A key issue is detecting stubborn behaviors to identify leaders and influencers for marketing purposes, or extremists and automatic bots as potential threats. Existing literature typically relies on known network topology and extensive centrality measures computation. However, the size of social networks and their often unknown structure could make social influence computation impractical. We propose a new approach based on opinion dynamics to estimate stubborn agents from data. We consider a DeGroot model in which regular agents adjust their opinions as a linear combination of their neighbors' opinions, whereas stubborn agents... (More)

The wide spread of on-line social networks poses new challenges in information environment and cybersecurity. A key issue is detecting stubborn behaviors to identify leaders and influencers for marketing purposes, or extremists and automatic bots as potential threats. Existing literature typically relies on known network topology and extensive centrality measures computation. However, the size of social networks and their often unknown structure could make social influence computation impractical. We propose a new approach based on opinion dynamics to estimate stubborn agents from data. We consider a DeGroot model in which regular agents adjust their opinions as a linear combination of their neighbors' opinions, whereas stubborn agents keep their opinions constant over time. We formulate the stubborn nodes identification and their influence estimation problems as a low-rank approximation problem. We then propose an interpolative decomposition algorithm for their solution. We determine sufficient conditions on the model parameters to ensure the algorithm's resilience to noisy observations. Finally, we corroborate our theoretical analysis through numerical results.

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
detection, identification, Network analysis and control, social networks
in
IEEE Control Systems Letters
volume
8
pages
6 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85205761984
ISSN
2475-1456
DOI
10.1109/LCSYS.2024.3472495
language
English
LU publication?
yes
id
0cec94df-18f5-4ade-a098-73638f0b63eb
date added to LUP
2025-01-02 13:24:29
date last changed
2025-04-04 14:02:00
@article{0cec94df-18f5-4ade-a098-73638f0b63eb,
  abstract     = {{<p>The wide spread of on-line social networks poses new challenges in information environment and cybersecurity. A key issue is detecting stubborn behaviors to identify leaders and influencers for marketing purposes, or extremists and automatic bots as potential threats. Existing literature typically relies on known network topology and extensive centrality measures computation. However, the size of social networks and their often unknown structure could make social influence computation impractical. We propose a new approach based on opinion dynamics to estimate stubborn agents from data. We consider a DeGroot model in which regular agents adjust their opinions as a linear combination of their neighbors' opinions, whereas stubborn agents keep their opinions constant over time. We formulate the stubborn nodes identification and their influence estimation problems as a low-rank approximation problem. We then propose an interpolative decomposition algorithm for their solution. We determine sufficient conditions on the model parameters to ensure the algorithm's resilience to noisy observations. Finally, we corroborate our theoretical analysis through numerical results.</p>}},
  author       = {{Raineri, Roberta and Ravazzi, Chiara and Como, Giacomo and Fagnani, Fabio}},
  issn         = {{2475-1456}},
  keywords     = {{detection; identification; Network analysis and control; social networks}},
  language     = {{eng}},
  pages        = {{2343--2348}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Control Systems Letters}},
  title        = {{Detecting Stubborn Behaviors in Influence Networks : A Model-Based Approach for Resilient Analysis}},
  url          = {{http://dx.doi.org/10.1109/LCSYS.2024.3472495}},
  doi          = {{10.1109/LCSYS.2024.3472495}},
  volume       = {{8}},
  year         = {{2024}},
}