The Dantzig selector: Recovery of Signal via $\ell_1-α\ell_2$ Minimization
Huanmin Ge,
Peng Li
Abstract:In the paper, we proposed the Dantzig selector based on the ℓ 1 − αℓ 2 (0 < α ≤ 1) minimization for the signal recovery. In the Dantzig selector, the constraint A ⊤ (b − Ax) ∞ ≤ η for some small constant η > 0 means the columns of A has very weakly correlated with the error vector e = Ax − b. First, recovery guarantees based on the restricted isometry property (RIP) are established for signals. Next, we propose the effective algorithm to solve the proposed Dantzig selector. Last, we illustrate the proposed mod… Show more
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