GoDec:Randomized Low-rank & Sparse Matrix Decomposition in Noisy Case

function [LSRMSEerror]=GoDec（Xrankcardpower）

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%                        GoDec Algotithm
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%INPUTS:
%X: nxp data matrix with n samples and p features
%rank: rank（L）<=rank
%card: card（S）<=card
%power: >=0 power scheme modification increasing it lead to better
%accuracy and more time cost
%OUTPUTS:
%L:Low-rank part
%S:Sparse part
%RMSE: error
%error: ||X-L-S||/||X||
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%REFERENCE:
%Tianyi Zhou and Dacheng Tao “GoDec: Randomized Lo-rank & Sparse Matrix
%Decomposition in Noisy Case“ ICML 2011
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%Tianyi Zhou 2011 All rights reserved