YALL1-Group: A solver for group/joint sparse reconstruction

From Wikimization

YALL1-Group is a MATLAB software package for group/joint sparse reconstruction, written by Wei Deng, Wotao Yin and Yin Zhang at Rice University.

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Model

(1) Group-sparse basis pursuit model:

                  Minimize     
  
                  subject to   

where , , denotes the index set of the -th group, and is the weight for the -th group.

(2) Jointly-sparse basis pursuit model:

                  Minimize     
                  subject to   

where , denotes the -th row of matrix , and is the weight for the -th row.

Syntax

[x,Out] = YALL1_group(A,b,groups,'param1',value1,'param2',value2,...);

Input Arguments

• A: an m-by-n matrix with m < n, or a structure with the following fields:

1) A.times: a function handle for ;

2) A.trans: a function handle for ;

3) A.invIpAAt: a function handle for ;

4) A.invAAt: a function handle for