Kavli Affiliate: Feng Wang
| First 5 Authors: Ya-Jing Ma, Feng Wang, Xian-Yuan Wu, Kai-Yuan Cai,
| Summary:
This paper focuses on the extreme-value problem for Shannon entropy of the
joint distribution with given marginals. It is proved that the minimum-entropy
coupling must be of order-preserving, while the maximum-entropy coupling
coincides with the independent one. Note that in this sense, we interpret
entropy as a measure of system disorder.
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