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. […]
Continue.. Minimal Joint Entropy and Order-Preserving Couplings