This paper focuses on developing new and fast algorithms for recovering a sparse vector from a small number of measurements in compressive sensing (CS).
Conventional methods like L1 minimization do not work well in coherent systems where measurements are correlated.
The L1-L2 norm difference, which has shown superior performance, is computationally expensive.
The paper presents an analytical solution for the proximal operator of the L1-L2 metric, making fast L1 solvers applicable and efficient.