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Corrections to “Wyner’s Common Information Under Rényi Divergence Measures”

机译:“Wyner在Rényi分歧措施下的普通信息”的修正

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摘要

In this correspondence, we correct an erroneous result on the achievability part of the Renyi common information with order $1+sin (1,2]$ in (L. Yu and V. Y. F. Tan, "Wyner's common information under Renyi divergence measures," IEEE Trans. Inf. Theory, vol. 64, no. 5, pp. 3616-3632, May 2018). The new achievability result (upper bound) of the Renyi common information no longer coincides with Wyner's common information. We also provide a new converse result (lower bound) in this correspondence for the Renyi common information with order $1+sin (1,infty]$ . Numerical results show that for doubly symmetric binary sources, the new upper and lower bounds coincide for the order $1+sin (1,2]$ and they are both strictly larger than Wyner's common information for this case.
机译:在这封对应中,我们纠正了瑞安(L. Yu和Vyf Tan)的renyi常见信息的可实现性部分的错误结果,Wyner在瑞安在仁尼分歧措施下的普通信息,“ IEEE Trans。INF。理论,第64卷。64,NO。5,PP。2018年5月3616-3632)。瑞尼的新成就结果(上限)普通信息不再与Wyner的常见信息一致。我们还提供了一个新的匡威结果(下限)在这对应于renyi常见信息的通用订单$ 1 + s in(1, idty] $。数值结果表明,对于双重对称二进制来源,新的上限和下限一致为订单$ 1 + s in(1,2] $,它们既严格大于此案例的Wyner的常见信息。

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