在这个简短的论述中,我们提供一些基于这一新理论的关键性数学见解,并解释了一些压缩采样和其他领域,如统计学、信息论、编码理论以及理论性的计算机科学之间的交互。-In this short survey, we provide some of the key mathematical insights underlying this new

theory, and explain some of the interactions between compressive sampling and other fields such

as statistics, information theory, coding theory, and theoretical computer science.