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A correlation measure based on vector-valued Lp norms

Mojahedian, M. M ; Sharif University of Technology | 2019

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  1. Type of Document: Article
  2. DOI: 10.1109/ISIT.2019.8849703
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2019
  4. Abstract:
  5. In this paper, a new measure of correlation is introduced. This measure depends on a parameter α, and is defined in terms of vector-valued Lp norms. The measure is within a constant of the exponential of α-Rényi mutual information, and reduces to the trace norm (total variation distance) for α = 1. We provide some properties and applications of this measure of correlation. In particular, we establish a bound on the secrecy exponent of the wiretap channel (under the total variation metric) in terms of the α-Rényi mutual information according to Csiszár's proposal. © 2019 IEEE
  6. Keywords:
  7. Correlation measures ; Lp-norm ; Mutual informations ; Total variation ; Total variation metric ; Trace-norms ; Vector valued ; Wire-tap channels ; Information theory
  8. Source: 2019 IEEE International Symposium on Information Theory, ISIT 2019, 7 July 2019 through 12 July 2019 ; Volume 2019-July , 2019 , Pages 1132-1136 ; 21578095 (ISSN); 9781538692912 (ISBN)
  9. URL: https://ieeexplore.ieee.org/document/8849703