Computer Science ›› 2017, Vol. 44 ›› Issue (Z6): 97-98, 132.doi: 10.11896/j.issn.1002-137X.2017.6A.020

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Equivalent Representation of Compressed Sensing Optimization Problem and Its Penalty Function Method

MENG Zhi-qing, XU Lei-yan, JIANG Min and SHEN Rui   

  • Online:2017-12-01 Published:2018-12-01

Abstract: Firstly,the definition of an equivalent representation for compressed sensing optimization problem was given.It is proved that an optimal solution to the equivalent representation problem is an optimal solution to compressed sen-sing problem.Then an objective penalty function was defined,which has more than 2 order of smoothness,and its iterative algorithm was given.The convergence of the algorithm was proved.By solving the objective penalty function,the approximate optimal solution of compressed sensing optimization problem can be obtained.This method provides a new tool for us to study and solve the actual compressed sensing.

Key words: Compressive sensing,Equivalent representation,Sparse optimization,Object penalty function

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