Multiterminal Source Coding Under Logarithmic Loss
Characterizing the rate distortion region for the two-encoder lossy source coding problem is perhaps the most well-known, long-standing open problem in the field of multi-terminal source coding. The authors consider the two-encoder multi-terminal source coding problem subject to distortion constraints computed under logarithmic loss. They provide a single-letter description of the achievable rate distortion region for arbitrarily correlated sources with finite alphabets. In doing so, they also give the rate distortion region for the CEO problem under logarithmic loss. Notably, the Berger-Tung inner bound is tight in both settings.