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27 May 2021

Reply to Legat, B.; Rocher, L. The Limits of Pairwise Correlation to Model the Joint Entropy. Comment on “Nguyen Thi Thanh et al. Entropy Correlation and Its Impacts on Data Aggregation in a Wireless Sensor Network. Sensors 2018, 18, 3118”

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School of Information and Communication Technology, Hanoi University of Science and Technology, Hanoi 11615, Vietnam
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Author to whom correspondence should be addressed.
In the comment, the authors have mentioned that two claims in our paper are incorrect in general. On behalf of all authors, I would like to reply as follows:
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As mentioned in our paper, claim 1 derives from [1,2] such that the correlation coefficient between one cluster and another cluster can be obtained by the smallest/largest/average correlation coefficient from any member of one cluster to any member of the other. Claim 2 is proved by using claim 1.
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We believe that there is a class of datasets such as environmental parameters (temperature as shown in our paper) and vision data (as shown in [1]) that satisfy claim 1. The next work is to find the properties of these datasets and clarify the application range of our result.

Funding

This research received no external funding.

Conflicts of Interest

The authors declare no conflict of interest.

References

  1. Dai, R.; Akyildiz, I.F. A spatial correlation model for visual information in wireless multimedia sensor networks. IEEE Trans. Multimed. 2009, 11, 1148–1159. [Google Scholar] [CrossRef]
  2. Jain, A.K.; Murty, M.N.; Flynn, P.J. Data clustering: A review. ACM Comput. Surv. 1999, 31, 264–323. [Google Scholar] [CrossRef]
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