chenyv / GroupSparseLP_dereverberation

This code solves multichannel sparse linear prediction using the Least Absolute Deviation (LAD) and Group LASSO (GL) algorithms with applications in dereverberation

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                           %
% Speech Dereverberation based on Convex Optimization       %
% Algorithms for Group Sparse Linear Prediction             %
%                                                           %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

This code is designed around solving the following convex optimization 
problems

minimize ||X-X_tau*G||_1,1

minimize ||X-X_tau*G||_1,1 + gamma || G ||_1,1

minimize ||X-X_tau*G||_2,1 

minimize ||X-X_tau*G||_2,1 + gamma || G ||_1,1


The algorithmic background, motivation, etc. is described in

SPEECH DEREVERBERATION BASED ON CONVEX OPTIMIZATION ALGORITHMS 
         FOR GROUP SPARSE LINEAR PREDICTION
            D. Giacobello, T.L. Jensen
                   ICASSP2018

If you use this implementation then please give reference to the 
above paper.