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Compressive Sensing for Wireless Networks by Zhu Han, Wotao Yin, Husheng Li

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4

Sparse optimization algorithms

This chapter reviews a collection of sparse optimization models and algorithms. The review focuses on introducing these algorithms along with their motivations and basic properties.

This chapter is organized as follows. Section 4.1 gives a short overview of convex optimization, including the definitions of convex sets and functions, the concepts of local and global optimality, as well as optimality conditions. A list of sparse optimization models is presented in Section 4.2; it deals with different types of signals and different kinds of noise and can also include additional features as objectives and constraints that arise in practical problems. Section 4.3 demonstrates that the convex sparse optimization problems ...

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