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research article

Partial Information Sharing Over Social Learning Networks

Bordignon, Virginia  
•
Matta, Vincenzo
•
Sayed, Ali H. H.  
March 1, 2023
Ieee Transactions On Information Theory

This work addresses the problem of sharing partial information within social learning strategies. In social learning, agents solve a distributed multiple hypothesis testing problem by performing two operations at each instant: first, agents incorporate information from private observations to form their beliefs over a set of hypotheses; second, agents combine the entirety of their beliefs locally among neighbors. Within a sufficiently informative environment and as long as the connectivity of the network allows information to diffuse across agents, these algorithms enable agents to learn the true hypothesis. Instead of sharing the entirety of their beliefs, this work considers the case in which agents will only share their beliefs regarding one hypothesis of interest, with the purpose of evaluating its validity, and draws conditions under which this policy does not affect truth learning. We propose two approaches for sharing partial information, depending on whether agents behave in a self-aware manner or not. The results show how different learning regimes arise, depending on the approach employed and on the inherent characteristics of the inference problem. Furthermore, the analysis interestingly points to the possibility of deceiving the network, as long as the evaluated hypothesis of interest is close enough to the truth.

  • Details
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Type
research article
DOI
10.1109/TIT.2022.3227587
Web of Science ID

WOS:000965521200001

Author(s)
Bordignon, Virginia  
•
Matta, Vincenzo
•
Sayed, Ali H. H.  
Date Issued

2023-03-01

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC

Published in
Ieee Transactions On Information Theory
Volume

69

Issue

3

Start page

2033

End page

2058

Subjects

Computer Science, Information Systems

•

Engineering, Electrical & Electronic

•

Computer Science

•

Engineering

•

social learning

•

bayesian update

•

information diffusion

•

partial information

•

distributed detection

•

multiple sensors

•

diffusion

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
ASL  
Available on Infoscience
May 8, 2023
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/197408
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