Ratio and difference of $l_1$ and $l_2$ norms and sparse representation with coherent dictionaries
Ratio and difference of $l_1$ and $l_2$ norms and sparse representation with coherent dictionaries
The ratio of l 1 and l 2 norms has been used empirically to enforce sparsity of scale invariant solutions in non-convex blind source separation problems such as nonnegative matrix factorization and blind deblurring.In this paper, we study the mathematical theory of the sparsity promoting properties of the ratio metric …