Sparse signal recovery via generalized gaussian function

• Published in: Journal of global optimization Vol. 83; no. 4; pp. 783 - 801
• Main Authors: Li, Haiyang, Zhang, Qian, Lin, Shoujin, Peng, Jigen
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.08.2022; Springer; Springer Nature B.V
• Subjects: Algorithms; Analysis; Approximation; Computer Science; Equivalence; Gaussian processes; Iterative methods; Mathematics; Mathematics and Statistics; Operations Research/Decision Theory; Optimization; Real Functions; Recovery; Regularization; Signal reconstruction; Sparsity; 49M20; minimization; Regularization minimization; Generalized Gaussian function; 34K29; 90C26; Sparse signal recovery; The DCS algorithm

In this paper, we replace the ℓ 0 norm with the variation of generalized Gaussian function Φ α ( x ) in sparse signal recovery. We firstly show that Φ α ( x ) is a type of non-convex sparsity-promoting function and clearly demonstrate the equivalence among the three minimization models ( P 0 ) : min...