Exact Reconstruction Conditions for Regularized Modified Basis Pursuit.

In this work, we obtain sufficient conditions for exact recovery of regularized modified basis pursuit (reg-mod-BP) and discuss when the obtained conditions are weaker than those for modified compressive sensing or for basis pursuit (BP). The discussion is also supported by simulation comparisons. Reg-mod-BP provides a solution to the sparse recovery problem when both an erroneous estimate of the signal's support, denoted by T, and an erroneous estimate of the signal values on T are available. [ABSTRACT FROM AUTHOR]