论文标题
点过程的功能覆盖
Functional Covering of Point Processes
论文作者
论文摘要
我们引入了一种新的失真度量，以用于点过程称为功能覆盖失真。它的灵感来自强度理论，并且与点过程的覆盖和对数损耗失真有关。我们在此失真度量下，在大量的点过程中获得了FeedForward的失真率函数。对于泊松过程，速率延伸函数是在称为约束功能覆盖的变形的一般条件下获得的，其中覆盖和功能覆盖都是特殊情况。同样，对于泊松过程，我们表征了两个编码器首席执行官问题的速率延伸区域，并表明FeedForward不会扩大该区域。
We introduce a new distortion measure for point processes called functional-covering distortion. It is inspired by intensity theory and is related to both the covering of point processes and logarithmic loss distortion. We obtain the distortion-rate function with feedforward under this distortion measure for a large class of point processes. For Poisson processes, the rate-distortion function is obtained under a general condition called constrained functional-covering distortion, of which both covering and functional-covering are special cases. Also for Poisson processes, we characterize the rate-distortion region for a two-encoder CEO problem and show that feedforward does not enlarge this region.
