The Gray-Wyner network subject to a fidelity criterion is studied. Upper and lower bounds for the trade-offs between the private sum-rate and the common rate are obtained for arbitrary sources subject to mean-squared error distortion. The bounds meet exactly, leading to the computation of the rate region, when the source is jointly Gaussian. They meet partially when the sources are modeled via an additive Gaussian "channel". The bounds are inspired from the Shannon bounds on the rate-distortion problem.

翻译：研究了受忠诚标准约束的灰色-怀伊纳网络;对任意来源的私人总和和共同比率之间的取舍上限和下限进行了研究,但有中度误差的扭曲;界限完全吻合,导致计算费率区域,当源是共同高斯时;当源是通过加添加剂高斯 " 通道 " 建模时,界限部分吻合。界限来自香农关于利率扭曲问题的界限。