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Information Theoretic Strategies in Private Distributed Hypothesis Testing

Abbasalipour, Reza | 2021

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 54835 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Mirmohseni, Mahtab
  7. Abstract:
  8. The problem of distributed binary hypothesis testing in the Gray-Wyner network with side information is studied in this dissertation. An observer agent has access to a discrete memoryless and stationary source and describes its observation to two detecting agents via one common and two private channels. The channels are considered error-free but rate-limited. Each detecting agent also has access to its own discrete memoryless and stationary source, i.e., the side information. The goal is to perform two distinct binary hypothesis testings on the joint distribution of observations at detecting agents. Additionally, the observing agent aims to keep a correlated latent source private against the detecting agents. Equivocation is used as the measure of the privacy preserved for the latent source. An achievable inner bound is derived for the general case by introducing a non-asymptotic account of the output statistics of the random binning. Also, the acquired bound is used to derive another inner bound for the simpler case of distributed hypothesis testing in the Wyner-Ziv network with side information. Also, it is shown that the soft covering lemma, i.e., channel resolvability, could be used to craft another technique similar to that of the output statistics of the random binning. By using this technique, another inner bound for the Wyner-Ziv network with side information is derived
  9. Keywords:
  10. Privacy ; Soft Covering ; Wyner-Ziv Network ; Gray-Wyner Network ; Random Binning ; Binary Hypothesis Testing ; Equivocation

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