changeset 40:6416fc12f2b8

(none)

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/DL/RLS-DLA/SMALL_rlsdla 05032011.m	Mon Mar 14 15:35:24 2011 +0000
@@ -0,0 +1,488 @@
+function Dictionary = SMALL_rlsdla(X, params)
+
+
+
+
+
+global CODE_SPARSITY CODE_ERROR codemode
+global MEM_LOW MEM_NORMAL MEM_HIGH memusage
+global ompfunc ompparams exactsvd
+
+CODE_SPARSITY = 1;
+CODE_ERROR = 2;
+
+MEM_LOW = 1;
+MEM_NORMAL = 2;
+MEM_HIGH = 3;
+
+
+% p = randperm(size(X,2));
+
+        % coding mode %
+%X_norm=sqrt(sum(X.^2, 1));
+% X_norm_1=sum(abs(X));
+% X_norm_inf=max(abs(X));
+%[X_norm_sort, p]=sort(X_norm);%, 'descend');
+% [X_norm_sort1, p5]=sort(X_norm_1);%, 'descend');
+
+%         if (isfield(params,'codemode'))
+%           switch lower(params.codemode)
+%             case 'sparsity'
+%               codemode = CODE_SPARSITY;
+%               thresh = params.Tdata;
+%             case 'error'
+%               codemode = CODE_ERROR;
+%               thresh = params.Edata;
+%             otherwise
+%               error('Invalid coding mode specified');
+%           end
+%         elseif (isfield(params,'Tdata'))
+%           codemode = CODE_SPARSITY;
+%           thresh = params.Tdata;
+%         elseif (isfield(params,'Edata'))
+%           codemode = CODE_ERROR;
+%           thresh = params.Edata;
+% 
+%         else
+%           error('Data sparse-coding target not specified');
+%         end
+
+thresh = params.Edata;
+% max number of atoms %
+
+% if (codemode==CODE_ERROR && isfield(params,'maxatoms'))
+%   ompparams{end+1} = 'maxatoms';
+%   ompparams{end+1} = params.maxatoms;
+% end
+
+
+% memory usage %
+
+if (isfield(params,'memusage'))
+  switch lower(params.memusage)
+    case 'low'
+      memusage = MEM_LOW;
+    case 'normal'
+      memusage = MEM_NORMAL;
+    case 'high'
+      memusage = MEM_HIGH;
+    otherwise
+      error('Invalid memory usage mode');
+  end
+else
+  memusage = MEM_NORMAL;
+end
+
+
+% iteration count %
+
+if (isfield(params,'iternum'))
+  iternum = params.iternum;
+else
+  iternum = 10;
+end
+
+
+% omp function %
+
+if (codemode == CODE_SPARSITY)
+  ompfunc = @omp;
+else
+  ompfunc = @omp2;
+end
+
+
+% % status messages %
+% 
+% printiter = 0;
+% printreplaced = 0;
+% printerr = 0;
+% printgerr = 0;
+% 
+% verbose = 't';
+% msgdelta = -1;
+% 
+
+% 
+% for i = 1:length(verbose)
+%   switch lower(verbose(i))
+%     case 'i'
+%       printiter = 1;
+%     case 'r'
+%       printiter = 1;
+%       printreplaced = 1;
+%     case 't'
+%       printiter = 1;
+%       printerr = 1;
+%       if (isfield(params,'testdata'))
+%         printgerr = 1;
+%       end
+%   end
+% end
+% 
+% if (msgdelta<=0 || isempty(verbose))
+%   msgdelta = -1; 
+% end
+% 
+% ompparams{end+1} = 'messages';
+% ompparams{end+1} = msgdelta;
+% 
+% 
+% 
+% % compute error flag %
+% 
+% comperr = (nargout>=3 || printerr);
+% 
+% 
+% % validation flag %
+% 
+% testgen = 0;
+% if (isfield(params,'testdata'))
+%   testdata = params.testdata;
+%   if (nargout>=4 || printgerr)
+%     testgen = 1;
+%   end
+% end
+
+% 
+% % data norms %
+% 
+% XtX = []; XtXg = [];
+% if (codemode==CODE_ERROR && memusage==MEM_HIGH)
+%   XtX = colnorms_squared(data);
+%   if (testgen)
+%     XtXg = colnorms_squared(testdata);
+%   end
+% end
+
+
+% mutual incoherence limit %
+
+if (isfield(params,'muthresh'))
+  muthresh = params.muthresh;
+else
+  muthresh = 0.99;
+end
+if (muthresh < 0)
+  error('invalid muthresh value, must be non-negative');
+end
+
+
+
+
+
+% determine dictionary size %
+
+if (isfield(params,'initdict'))
+  if (any(size(params.initdict)==1) && all(iswhole(params.initdict(:))))
+    dictsize = length(params.initdict);
+  else
+    dictsize = size(params.initdict,2);
+  end
+end
+if (isfield(params,'dictsize'))    % this superceedes the size determined by initdict
+  dictsize = params.dictsize;
+end
+
+if (size(X,2) < dictsize)
+  error('Number of training signals is smaller than number of atoms to train');
+end
+
+
+% initialize the dictionary %
+
+if (isfield(params,'initdict'))
+  if (any(size(params.initdict)==1) && all(iswhole(params.initdict(:))))
+    D = X(:,params.initdict(1:dictsize));
+  else
+    if (size(params.initdict,1)~=size(X,1) || size(params.initdict,2)<dictsize)
+      error('Invalid initial dictionary');
+    end
+    D = params.initdict(:,1:dictsize);
+  end
+else
+  data_ids = find(colnorms_squared(X) > 1e-6);   % ensure no zero data elements are chosen
+  perm = randperm(length(data_ids));
+  D = X(:,data_ids(perm(1:dictsize)));
+end
+
+
+% normalize the dictionary %
+
+% D = normcols(D);
+% DtD=D'*D;
+
+err = zeros(1,iternum);
+gerr = zeros(1,iternum);
+
+if (codemode == CODE_SPARSITY)
+  errstr = 'RMSE';
+else
+  errstr = 'mean atomnum';
+end
+%X(:,p(X_norm_sort<thresh))=0;
+% if (iternum==4)
+%     X_im=col2imstep(X, [256 256], [8 8]);
+% else
+%     X_im=col2imstep(X, [512 512], [8 8]);
+% end
+% figure(10); imshow(X_im);
+
+%p1=p(cumsum(X_norm_sort)./[1:size(X_norm_sort,2)]>thresh);
+%p1=p(X_norm_sort>thresh);
+% X(:,setxor(p1,1:end))=0;
+% X_im=col2imstep(X, [256 256], [8 8]);
+% figure(10); imshow(X_im);
+% if iternum==2
+% D(:,1)=D(:,2);
+% end
+%p1=p1(p2(1:40000));
+%end-min(40000, end)+1:end));%1:min(40000, end)));
+%p1 = randperm(size(data,2));%size(data,2)
+%data=data(:,p1);
+
+C=(100000*thresh)*eye(dictsize);
+% figure(11);
+w=zeros(dictsize,1);
+replaced=zeros(dictsize,1);
+u=zeros(dictsize,1);
+%   dictimg = showdict(D,[8 8],round(sqrt(size(D,2))),round(sqrt(size(D,2))),'lines','highcontrast');
+%   figure(11);imshow(imresize(dictimg,2,'nearest'));
+%  pause(1);
+lambda=0.9997%0.99986;%3+0.0001*params.linc;
+for j=1:1
+    %data=X;
+if size(X,2)>40000
+    p2 = randperm(size(X,2));
+    
+    p2=sort(p2(1:40000));%min(floor(size(p1,2)/2),40000)));
+    size(p2,2)
+    data=X(:,p2);
+elseif size(X,2)>0
+    %p2 = randperm(size(p1,2));
+    size(X,2)
+    data=X;
+else
+    break;
+end
+% figure(1);
+% plot(sqrt(sum(data.^2, 1)));
+% a=size(data,2)/4;
+% lambda0=0.99;%1-16/numS+iternum*0.0001-0.0002
+%C(1,1)=0;
+modi=1000;
+for i = 1:size(data,2)
+%     if norm(data(:,i))>thresh
+    %      par.multA= @(x,par)  multMatr(D,x);     % user function   y=Ax
+    %      par.multAt=@(x,par)  multMatrAdj(D,x);  % user function  y=A'*x
+    %      par.y=data(:,i);
+     %  w=SolveFISTA(D,data(:,i),'lambda',0.5*thresh);
+     % w=sesoptn(zeros(dictsize,1),par.func_u, par.func_x, par.multA, par.multAt,options,par);
+   %w = SMALL_chol(D,data(:,i), 256,32, thresh);%
+   %w = sparsecode(data(:,i), D, [], [], thresh);
+   w = omp2mex(D,data(:,i),[],[],[],thresh,0,-1,-1,0);
+
+   %w(find(w<1))=0; 
+   %^2;
+%   lambda(i)=1-0.001/(1+i/a);
+% if i<a
+%     lambda(i)=1-0.001*(1-(i/a));
+% else
+%     lambda(i)=1;
+% end
+%    param.lambda=thresh;
+%    param.mode=2;
+%    param.L=32;
+%    w=mexLasso(data(:,i), D, param);
+    spind=find(w);
+    %replaced(spind)=replaced(spind)+1;
+    %-0.001*(1/2)^(i/a);
+%   w_sp(i)=nnz(w);
+    residual = data(:,i) - D * w;
+   %if ~isempty(spind) 
+    %i
+   if (j==1) 
+    C = C *(1/ lambda);
+   end
+    u = C(:,spind) * w(spind);
+  
+   %spindu=find(u);
+   % v = D' * residual;
+    
+    alfa = 1/(1 + w' * u);
+    
+    D = D + (alfa * residual) * u';
+    
+    %uut=;
+    C = C - (alfa * u)* u';
+   % lambda=(19*lambda+1)/20;
+   % DtD = DtD + alfa * ( v*u' + u*v') + alfa^2 * (residual'*residual) * uut;
+   
+%    if (mod(i,modi)==0)
+%        Ximd=zeros(size(X));
+%        Ximd(:,p1((i-modi+1:i)))=data(:,i-modi+1:i);
+%        
+%        if (iternum==4)
+%             X_ima(:,:,1)=col2imstep(Ximd, [256 256], [8 8]);
+%             X_ima(:,:,2)=col2imstep(X, [256 256], [8 8]);
+%             X_ima(:,:,3)=zeros(256,256);
+%        else
+%             X_ima(:,:,1)=col2imstep(Ximd, [512 512], [8 8]);
+%             X_ima(:,:,2)=col2imstep(X, [512 512], [8 8]);
+%             X_ima(:,:,3)=zeros(512,512);
+%        end
+%        
+%        dictimg1=dictimg;
+%        dictimg = showdict(D,[8 8],...
+%         round(sqrt(size(D,2))),round(sqrt(size(D,2))),'lines','highcontrast');
+%         dictimg1=(dictimg-dictimg1);
+%         
+%         figure(2);
+%         subplot(2,2,1); imshow(X_ima); title(sprintf('%d',i));
+%         subplot(2,2,3); imshow(imresize(dictimg,2,'nearest'));
+%         subplot(2,2,4);    imshow(imresize(dictimg1,2,'nearest'));
+%         subplot(2,2,2);imshow(C*(255/max(max(C))));
+%         pause(0.02);
+%         if (i>=35000) 
+%             modi=100;
+%             pause 
+%         end;
+%     end
+%    end
+end
+%p1=p1(setxor(p2,1:end));
+%[D,cleared_atoms] = cleardict(D,X,muthresh,p1,replaced);
+%replaced=zeros(dictsize,1);
+% W=sparsecode(data, D, [], [], thresh);
+% data=D*W;
+%lambda=lambda+0.0002
+end
+%Gamma=mexLasso(data, D, param);
+%err=compute_err(D,Gamma, data);
+%[y,i]=max(err);
+%D(:,1)=data(:,i)/norm(data(:,i));
+
+Dictionary = D;%D(:,p);
+% figure(3);
+% plot(lambda);
+% mean(lambda);
+% figure(4+j);plot(w_sp);
+end
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%             sparsecode               %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+function Gamma = sparsecode(data,D,XtX,G,thresh)
+
+global CODE_SPARSITY codemode
+global MEM_HIGH memusage
+global ompfunc ompparams
+
+if (memusage < MEM_HIGH)
+  Gamma = ompfunc(D,data,G,thresh,ompparams{:});
+  
+else  % memusage is high
+  
+  if (codemode == CODE_SPARSITY)
+    Gamma = ompfunc(D'*data,G,thresh,ompparams{:});
+    
+  else
+    Gamma = ompfunc(D, data, G, thresh,ompparams{:});
+  end
+  
+end
+
+end
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%             compute_err              %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+function err = compute_err(D,Gamma,data)
+  
+global CODE_SPARSITY codemode
+
+if (codemode == CODE_SPARSITY)
+  err = sqrt(sum(reperror2(data,D,Gamma))/numel(data));
+else
+  err = nnz(Gamma)/size(data,2);
+end
+
+end
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%           cleardict                  %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+function [D,cleared_atoms] = cleardict(D,X,muthresh,unused_sigs,replaced_atoms)
+
+use_thresh = 4;  % at least this number of samples must use the atom to be kept
+
+dictsize = size(D,2);
+
+% compute error in blocks to conserve memory
+% err = zeros(1,size(X,2));
+% blocks = [1:3000:size(X,2) size(X,2)+1];
+% for i = 1:length(blocks)-1
+%   err(blocks(i):blocks(i+1)-1) = sum((X(:,blocks(i):blocks(i+1)-1)-D*Gamma(:,blocks(i):blocks(i+1)-1)).^2);
+% end
+
+cleared_atoms = 0;
+usecount = replaced_atoms;%sum(abs(Gamma)>1e-7, 2);
+
+for j = 1:dictsize
+  
+  % compute G(:,j)
+  Gj = D'*D(:,j);
+  Gj(j) = 0;
+  
+  % replace atom
+  if ( (max(Gj.^2)>muthresh^2 || usecount(j)<use_thresh) && ~replaced_atoms(j) )
+%     [y,i] = max(err(unused_sigs));
+    D(:,j) = X(:,unused_sigs(end)) / norm(X(:,unused_sigs(end)));
+    unused_sigs = unused_sigs([1:end-1]);
+    cleared_atoms = cleared_atoms+1;
+  end
+end
+
+end
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%            misc functions            %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+function err2 = reperror2(X,D,Gamma)
+
+% compute in blocks to conserve memory
+err2 = zeros(1,size(X,2));
+blocksize = 2000;
+for i = 1:blocksize:size(X,2)
+  blockids = i : min(i+blocksize-1,size(X,2));
+  err2(blockids) = sum((X(:,blockids) - D*Gamma(:,blockids)).^2);
+end
+
+end
+
+
+function Y = colnorms_squared(X)
+
+% compute in blocks to conserve memory
+Y = zeros(1,size(X,2));
+blocksize = 2000;
+for i = 1:blocksize:size(X,2)
+  blockids = i : min(i+blocksize-1,size(X,2));
+  Y(blockids) = sum(X(:,blockids).^2);
+end
+
+end
+
+

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/DL/RLS-DLA/SMALL_rlsdla.m	Mon Mar 14 15:35:24 2011 +0000
@@ -0,0 +1,148 @@
+function Dictionary = SMALL_rlsdla(X, params)
+
+
+
+
+
+
+CODE_SPARSITY = 1;
+CODE_ERROR = 2;
+
+
+% Determine which method will be used for sparse representation step -
+% Sparsity or Error mode
+
+if (isfield(params,'codemode'))
+    switch lower(params.codemode)
+        case 'sparsity'
+            codemode = CODE_SPARSITY;
+            thresh = params.Tdata;
+        case 'error'
+            codemode = CODE_ERROR;
+            thresh = params.Edata;
+            
+        otherwise
+            error('Invalid coding mode specified');
+    end
+elseif (isfield(params,'Tdata'))
+    codemode = CODE_SPARSITY;
+    thresh = params.Tdata;
+elseif (isfield(params,'Edata'))
+    codemode = CODE_ERROR;
+    thresh = params.Edata;
+    
+else
+    error('Data sparse-coding target not specified');
+end
+
+
+% max number of atoms %
+
+if (codemode==CODE_ERROR && isfield(params,'maxatoms'))
+  maxatoms = params.maxatoms;
+else
+  maxatoms = -1;
+end
+
+
+% Forgetting factor
+
+if (isfield(params,'forgettingMode'))
+     switch lower(params.forgettingMode)
+       case 'fix'
+                if (isfield(params,'forgettingFactor'))
+                    lambda=params.forgettingFactor;
+                else
+                    lambda=1;
+                end
+       otherwise
+              error('This mode is still not implemented');
+     end
+elseif (isfield(params,'forgettingFactor'))
+     lambda=params.forgettingFactor;
+else
+     lambda=1;
+end
+
+% determine dictionary size %
+
+if (isfield(params,'initdict'))
+  if (any(size(params.initdict)==1) && all(iswhole(params.initdict(:))))
+    dictsize = length(params.initdict);
+  else
+    dictsize = size(params.initdict,2);
+  end
+end
+if (isfield(params,'dictsize'))    % this superceedes the size determined by initdict
+  dictsize = params.dictsize;
+end
+
+if (size(X,2) < dictsize)
+  error('Number of training signals is smaller than number of atoms to train');
+end
+
+
+% initialize the dictionary %
+
+if (isfield(params,'initdict'))
+  if (any(size(params.initdict)==1) && all(iswhole(params.initdict(:))))
+    D = X(:,params.initdict(1:dictsize));
+  else
+    if (size(params.initdict,1)~=size(X,1) || size(params.initdict,2)<dictsize)
+      error('Invalid initial dictionary');
+    end
+    D = params.initdict(:,1:dictsize);
+  end
+else
+  data_ids = find(colnorms_squared(X) > 1e-6);   % ensure no zero data elements are chosen
+  perm = randperm(length(data_ids));
+  D = X(:,data_ids(perm(1:dictsize)));
+end
+
+
+% normalize the dictionary %
+
+D = normcols(D);
+
+% Training data
+
+data=X;
+
+%
+
+C=(100000*thresh)*eye(dictsize);
+w=zeros(dictsize,1);
+u=zeros(dictsize,1);
+
+
+for i = 1:size(data,2)
+
+   if (codemode == CODE_SPARSITY)
+        w = ompmex(D,data(:,i),[],[],thresh,1,-1,0);
+   else
+        w = omp2mex(D,data(:,i),[],[],[],thresh,0,-1,maxatoms,0);
+   end
+   
+   spind=find(w);
+   
+   residual = data(:,i) - D * w;
+   
+   if (lambda~=1) 
+       C = C *(1/ lambda);
+   end
+   
+   u = C(:,spind) * w(spind);
+  
+    
+   alfa = 1/(1 + w' * u);
+    
+   D = D + (alfa * residual) * u';
+    
+   
+   C = C - (alfa * u)* u';
+   
+end
+
+Dictionary = D;
+
+end

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/DL/RLS-DLA/SMALL_rlsdla1.m	Mon Mar 14 15:35:24 2011 +0000
@@ -0,0 +1,479 @@
+function Dictionary = SMALL_rlsdla1(X, params)
+
+
+
+
+
+global CODE_SPARSITY CODE_ERROR codemode
+global MEM_LOW MEM_NORMAL MEM_HIGH memusage
+global ompfunc ompparams exactsvd
+
+CODE_SPARSITY = 1;
+CODE_ERROR = 2;
+
+MEM_LOW = 1;
+MEM_NORMAL = 2;
+MEM_HIGH = 3;
+
+
+% p = randperm(size(X,2));
+
+        % coding mode %
+X_norm=sqrt(sum(X.^2, 1));
+% X_norm_1=sum(abs(X));
+% X_norm_inf=max(abs(X));
+[X_norm_sort, p]=sort(X_norm);%, 'descend');
+% [X_norm_sort1, p5]=sort(X_norm_1);%, 'descend');
+
+%         if (isfield(params,'codemode'))
+%           switch lower(params.codemode)
+%             case 'sparsity'
+%               codemode = CODE_SPARSITY;
+%               thresh = params.Tdata;
+%             case 'error'
+%               codemode = CODE_ERROR;
+%               thresh = params.Edata;
+%             otherwise
+%               error('Invalid coding mode specified');
+%           end
+%         elseif (isfield(params,'Tdata'))
+%           codemode = CODE_SPARSITY;
+%           thresh = params.Tdata;
+%         elseif (isfield(params,'Edata'))
+%           codemode = CODE_ERROR;
+%           thresh = params.Edata;
+% 
+%         else
+%           error('Data sparse-coding target not specified');
+%         end
+
+thresh = params.Edata;
+% max number of atoms %
+
+% if (codemode==CODE_ERROR && isfield(params,'maxatoms'))
+%   ompparams{end+1} = 'maxatoms';
+%   ompparams{end+1} = params.maxatoms;
+% end
+
+
+% memory usage %
+
+if (isfield(params,'memusage'))
+  switch lower(params.memusage)
+    case 'low'
+      memusage = MEM_LOW;
+    case 'normal'
+      memusage = MEM_NORMAL;
+    case 'high'
+      memusage = MEM_HIGH;
+    otherwise
+      error('Invalid memory usage mode');
+  end
+else
+  memusage = MEM_NORMAL;
+end
+
+
+% iteration count %
+
+if (isfield(params,'iternum'))
+  iternum = params.iternum;
+else
+  iternum = 10;
+end
+
+
+% omp function %
+
+if (codemode == CODE_SPARSITY)
+  ompfunc = @omp;
+else
+  ompfunc = @omp2;
+end
+
+
+% % status messages %
+% 
+% printiter = 0;
+% printreplaced = 0;
+% printerr = 0;
+% printgerr = 0;
+% 
+% verbose = 't';
+% msgdelta = -1;
+% 
+
+% 
+% for i = 1:length(verbose)
+%   switch lower(verbose(i))
+%     case 'i'
+%       printiter = 1;
+%     case 'r'
+%       printiter = 1;
+%       printreplaced = 1;
+%     case 't'
+%       printiter = 1;
+%       printerr = 1;
+%       if (isfield(params,'testdata'))
+%         printgerr = 1;
+%       end
+%   end
+% end
+% 
+% if (msgdelta<=0 || isempty(verbose))
+%   msgdelta = -1; 
+% end
+% 
+% ompparams{end+1} = 'messages';
+% ompparams{end+1} = msgdelta;
+% 
+% 
+% 
+% % compute error flag %
+% 
+% comperr = (nargout>=3 || printerr);
+% 
+% 
+% % validation flag %
+% 
+% testgen = 0;
+% if (isfield(params,'testdata'))
+%   testdata = params.testdata;
+%   if (nargout>=4 || printgerr)
+%     testgen = 1;
+%   end
+% end
+
+% 
+% % data norms %
+% 
+% XtX = []; XtXg = [];
+% if (codemode==CODE_ERROR && memusage==MEM_HIGH)
+%   XtX = colnorms_squared(data);
+%   if (testgen)
+%     XtXg = colnorms_squared(testdata);
+%   end
+% end
+
+
+% mutual incoherence limit %
+
+if (isfield(params,'muthresh'))
+  muthresh = params.muthresh;
+else
+  muthresh = 0.99;
+end
+if (muthresh < 0)
+  error('invalid muthresh value, must be non-negative');
+end
+
+
+
+
+
+% determine dictionary size %
+
+if (isfield(params,'initdict'))
+  if (any(size(params.initdict)==1) && all(iswhole(params.initdict(:))))
+    dictsize = length(params.initdict);
+  else
+    dictsize = size(params.initdict,2);
+  end
+end
+if (isfield(params,'dictsize'))    % this superceedes the size determined by initdict
+  dictsize = params.dictsize;
+end
+
+if (size(X,2) < dictsize)
+  error('Number of training signals is smaller than number of atoms to train');
+end
+
+
+% initialize the dictionary %
+
+if (isfield(params,'initdict'))
+  if (any(size(params.initdict)==1) && all(iswhole(params.initdict(:))))
+    D1 = X(:,params.initdict(1:dictsize));
+     D2 = X(:,params.initdict(1:dictsize));
+  else
+    if (size(params.initdict,1)~=size(X,1) || size(params.initdict,2)<dictsize)
+      error('Invalid initial dictionary');
+    end
+    D1 = params.initdict(:,1:dictsize);
+    D2 = params.initdict(:,1:dictsize);
+  end
+else
+  data_ids = find(colnorms_squared(X) > 1e-6);   % ensure no zero data elements are chosen
+  perm = randperm(length(data_ids));
+  D = X(:,data_ids(perm(1:dictsize)));
+end
+
+
+% normalize the dictionary %
+
+% D = normcols(D);
+% DtD=D'*D;
+
+err = zeros(1,iternum);
+gerr = zeros(1,iternum);
+
+if (codemode == CODE_SPARSITY)
+  errstr = 'RMSE';
+else
+  errstr = 'mean atomnum';
+end
+X(:,p(X_norm_sort<thresh))=0;
+% if (iternum==4)
+%     X_im=col2imstep(X, [256 256], [8 8]);
+% else
+%     X_im=col2imstep(X, [512 512], [8 8]);
+% end
+% figure(10); imshow(X_im);
+p1=p(X_norm_sort>thresh);
+
+%p1=p1(p2(1:40000));
+%end-min(40000, end)+1:end));%1:min(40000, end)));
+%p1 = randperm(size(data,2));%size(data,2)
+%data=data(:,p1);
+
+C1=(100000*thresh)*eye(dictsize);
+C2=(100000*thresh)*eye(dictsize);
+% figure(11);
+w=zeros(dictsize,1);
+replaced=zeros(dictsize,1);
+u=zeros(dictsize,1);
+ dictimg = showdict(D1,[8 8],round(sqrt(size(D1,2))),round(sqrt(size(D1,2))),'lines','highcontrast');
+%  h=imshow(imresize(dictimg,2,'nearest'));
+lambda=0.9998
+for j=1:3
+if size(p1,2)>20000
+    p2 = randperm(floor(size(p1,2)/2));
+    p2=sort(p2(1:20000));
+    data1=X(:,p1(p2));
+    data2=X(:,p1(floor(size(p1,2)/2)+p2));
+elseif size(p1,2)>0
+    data=X(:,p1);
+else
+    break;
+end
+% figure(1);
+% plot(sqrt(sum(data.^2, 1)));
+% a=size(data,2)/4;
+% lambda0=0.99;%1-16/numS+iternum*0.0001-0.0002
+C1(1,1)=0;
+C2(1,1)=0;
+for i = 1:size(data1,2)
+%     if norm(data(:,i))>thresh
+    %      par.multA= @(x,par)  multMatr(D,x);     % user function   y=Ax
+    %      par.multAt=@(x,par)  multMatrAdj(D,x);  % user function  y=A'*x
+    %      par.y=data(:,i);
+     %  w=SolveFISTA(D,data(:,i),'lambda',0.5*thresh);
+     % w=sesoptn(zeros(dictsize,1),par.func_u, par.func_x, par.multA, par.multAt,options,par);
+   %w = SMALL_chol(D,data(:,i), 256,32, thresh);%
+   %w = sparsecode(data(:,i), D, [], [], thresh);
+   w1 = omp2mex(D1,data1(:,i),[],[],[],thresh,0,-1,-1,0);
+ w2 = omp2mex(D2,data2(:,i),[],[],[],thresh,0,-1,-1,0);
+   %w(find(w<1))=0; 
+   %^2;
+%   lambda(i)=1-0.001/(1+i/a);
+% if i<a
+%     lambda(i)=1-0.001*(1-(i/a));
+% else
+%     lambda(i)=1;
+% end
+%    param.lambda=thresh;
+%    param.mode=2;
+%    param.L=32;
+%    w=mexLasso(data(:,i), D, param);
+    spind1=find(w1);
+    spind2=find(w2);
+    
+    %replaced(spind)=replaced(spind)+1;
+    %-0.001*(1/2)^(i/a);
+%   w_sp(i)=nnz(w);
+    residual1 = data1(:,i) - D1 * w1;
+    residual2 = data2(:,i) - D2 * w2;
+   %if ~isempty(spind) 
+    %i
+    
+   C1 = C1 *(1/ lambda);
+    C2 = C2 *(1/ lambda);
+    u1 = C1(:,spind1) * w1(spind1);
+  u2 = C2(:,spind2) * w2(spind2);
+   %spindu=find(u);
+   % v = D' * residual;
+    
+    alfa1 = 1/(1 + w1' * u1);
+    alfa2 = 1/(1 + w2' * u2);
+    D1 = D1 + (alfa1 * residual1) * u1';
+    D2 = D2 + (alfa2 * residual2) * u2';
+    %uut=;
+    C1 = C1 - (alfa1 * u1)* u1';
+    C2 = C2 - (alfa2 * u2)* u2';
+   % lambda=(19*lambda+1)/20;
+   % DtD = DtD + alfa * ( v*u' + u*v') + alfa^2 * (residual'*residual) * uut;
+%    modi=5000;
+%    if (mod(i,modi)==0)
+%        Ximd=zeros(size(X));
+%        Ximd(:,p((i-modi+1:i)))=data(:,i-modi+1:i);
+%        
+%        if (iternum==4)
+%             X_ima=col2imstep(Ximd, [256 256], [8 8]);
+%        else
+%             X_ima=col2imstep(Ximd, [512 512], [8 8]);
+%        end
+%        dictimg1=dictimg;
+%        dictimg = showdict(D,[8 8],...
+%         round(sqrt(size(D,2))),round(sqrt(size(D,2))),'lines','highcontrast');
+%         dictimg1=(dictimg-dictimg1)*255;
+%         
+%         figure(2);
+%         subplot(2,2,1); imshow(X_ima);
+%         subplot(2,2,3); imshow(imresize(dictimg,2,'nearest'));
+%         subplot(2,2,4);    imshow(imresize(dictimg1,2,'nearest'));
+%         subplot(2,2,2);imshow(C*(255/max(max(C))));
+%         pause(0.02);
+%     end
+%    end
+end
+%p1=p1(setxor(p2,1:end));
+%[D,cleared_atoms] = cleardict(D,X,muthresh,p1,replaced);
+%replaced=zeros(dictsize,1);
+% W=sparsecode(data, D, [], [], thresh);
+% data=D*W;
+lambda=lambda+0.0001
+end
+%Gamma=mexLasso(data, D, param);
+%err=compute_err(D,Gamma, data);
+%[y,i]=max(err);
+%D(:,1)=data(:,i)/norm(data(:,i));
+% D=normcols(D);
+% D_norm=sqrt(sum(D.^2, 1));
+% D_norm_1=sum(abs(D));
+% X_norm_1=sum(abs(X));
+% X_norm_inf=max(abs(X));
+% [D_norm_sort, p]=sort(D_norm_1, 'descend');
+Dictionary =[D1 D2];
+% figure(3);
+% plot(lambda);
+% mean(lambda);
+% figure(4+j);plot(w_sp);
+end
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%             sparsecode               %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+function Gamma = sparsecode(data,D,XtX,G,thresh)
+
+global CODE_SPARSITY codemode
+global MEM_HIGH memusage
+global ompfunc ompparams
+
+if (memusage < MEM_HIGH)
+  Gamma = ompfunc(D,data,G,thresh,ompparams{:});
+  
+else  % memusage is high
+  
+  if (codemode == CODE_SPARSITY)
+    Gamma = ompfunc(D'*data,G,thresh,ompparams{:});
+    
+  else
+    Gamma = ompfunc(D, data, G, thresh,ompparams{:});
+  end
+  
+end
+
+end
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%             compute_err              %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+function err = compute_err(D,Gamma,data)
+  
+global CODE_SPARSITY codemode
+
+if (codemode == CODE_SPARSITY)
+  err = sqrt(sum(reperror2(data,D,Gamma))/numel(data));
+else
+  err = nnz(Gamma)/size(data,2);
+end
+
+end
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%           cleardict                  %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+function [D,cleared_atoms] = cleardict(D,X,muthresh,unused_sigs,replaced_atoms)
+
+use_thresh = 4;  % at least this number of samples must use the atom to be kept
+
+dictsize = size(D,2);
+
+% compute error in blocks to conserve memory
+% err = zeros(1,size(X,2));
+% blocks = [1:3000:size(X,2) size(X,2)+1];
+% for i = 1:length(blocks)-1
+%   err(blocks(i):blocks(i+1)-1) = sum((X(:,blocks(i):blocks(i+1)-1)-D*Gamma(:,blocks(i):blocks(i+1)-1)).^2);
+% end
+
+cleared_atoms = 0;
+usecount = replaced_atoms;%sum(abs(Gamma)>1e-7, 2);
+
+for j = 1:dictsize
+  
+  % compute G(:,j)
+  Gj = D'*D(:,j);
+  Gj(j) = 0;
+  
+  % replace atom
+  if ( (max(Gj.^2)>muthresh^2 || usecount(j)<use_thresh) && ~replaced_atoms(j) )
+%     [y,i] = max(err(unused_sigs));
+    D(:,j) = X(:,unused_sigs(end)) / norm(X(:,unused_sigs(end)));
+    unused_sigs = unused_sigs([1:end-1]);
+    cleared_atoms = cleared_atoms+1;
+  end
+end
+
+end
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%            misc functions            %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+function err2 = reperror2(X,D,Gamma)
+
+% compute in blocks to conserve memory
+err2 = zeros(1,size(X,2));
+blocksize = 2000;
+for i = 1:blocksize:size(X,2)
+  blockids = i : min(i+blocksize-1,size(X,2));
+  err2(blockids) = sum((X(:,blockids) - D*Gamma(:,blockids)).^2);
+end
+
+end
+
+
+function Y = colnorms_squared(X)
+
+% compute in blocks to conserve memory
+Y = zeros(1,size(X,2));
+blocksize = 2000;
+for i = 1:blocksize:size(X,2)
+  blockids = i : min(i+blocksize-1,size(X,2));
+  Y(blockids) = sum(X(:,blockids).^2);
+end
+
+end
+
+

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/DL/RLS-DLA/SMALL_rlsdlaFirstClustTry.m	Mon Mar 14 15:35:24 2011 +0000
@@ -0,0 +1,494 @@
+function Dictionary = SMALL_rlsdla(X, params)
+
+
+
+
+
+global CODE_SPARSITY CODE_ERROR codemode
+global MEM_LOW MEM_NORMAL MEM_HIGH memusage
+global ompfunc ompparams exactsvd
+
+CODE_SPARSITY = 1;
+CODE_ERROR = 2;
+
+MEM_LOW = 1;
+MEM_NORMAL = 2;
+MEM_HIGH = 3;
+
+
+% p = randperm(size(X,2));
+
+        % coding mode %
+X_norm=sqrt(sum(X.^2, 1));
+% X_norm_1=sum(abs(X));
+% X_norm_inf=max(abs(X));
+[X_norm_sort, p]=sort(X_norm);%, 'descend');
+% [X_norm_sort1, p5]=sort(X_norm_1);%, 'descend');
+
+%         if (isfield(params,'codemode'))
+%           switch lower(params.codemode)
+%             case 'sparsity'
+%               codemode = CODE_SPARSITY;
+%               thresh = params.Tdata;
+%             case 'error'
+%               codemode = CODE_ERROR;
+%               thresh = params.Edata;
+%             otherwise
+%               error('Invalid coding mode specified');
+%           end
+%         elseif (isfield(params,'Tdata'))
+%           codemode = CODE_SPARSITY;
+%           thresh = params.Tdata;
+%         elseif (isfield(params,'Edata'))
+%           codemode = CODE_ERROR;
+%           thresh = params.Edata;
+% 
+%         else
+%           error('Data sparse-coding target not specified');
+%         end
+
+thresh = params.Edata;
+% max number of atoms %
+
+% if (codemode==CODE_ERROR && isfield(params,'maxatoms'))
+%   ompparams{end+1} = 'maxatoms';
+%   ompparams{end+1} = params.maxatoms;
+% end
+
+
+% memory usage %
+
+if (isfield(params,'memusage'))
+  switch lower(params.memusage)
+    case 'low'
+      memusage = MEM_LOW;
+    case 'normal'
+      memusage = MEM_NORMAL;
+    case 'high'
+      memusage = MEM_HIGH;
+    otherwise
+      error('Invalid memory usage mode');
+  end
+else
+  memusage = MEM_NORMAL;
+end
+
+
+% iteration count %
+
+if (isfield(params,'iternum'))
+  iternum = params.iternum;
+else
+  iternum = 10;
+end
+
+
+% omp function %
+
+if (codemode == CODE_SPARSITY)
+  ompfunc = @omp;
+else
+  ompfunc = @omp2;
+end
+
+
+% % status messages %
+% 
+% printiter = 0;
+% printreplaced = 0;
+% printerr = 0;
+% printgerr = 0;
+% 
+% verbose = 't';
+% msgdelta = -1;
+% 
+
+% 
+% for i = 1:length(verbose)
+%   switch lower(verbose(i))
+%     case 'i'
+%       printiter = 1;
+%     case 'r'
+%       printiter = 1;
+%       printreplaced = 1;
+%     case 't'
+%       printiter = 1;
+%       printerr = 1;
+%       if (isfield(params,'testdata'))
+%         printgerr = 1;
+%       end
+%   end
+% end
+% 
+% if (msgdelta<=0 || isempty(verbose))
+%   msgdelta = -1; 
+% end
+% 
+% ompparams{end+1} = 'messages';
+% ompparams{end+1} = msgdelta;
+% 
+% 
+% 
+% % compute error flag %
+% 
+% comperr = (nargout>=3 || printerr);
+% 
+% 
+% % validation flag %
+% 
+% testgen = 0;
+% if (isfield(params,'testdata'))
+%   testdata = params.testdata;
+%   if (nargout>=4 || printgerr)
+%     testgen = 1;
+%   end
+% end
+
+% 
+% % data norms %
+% 
+% XtX = []; XtXg = [];
+% if (codemode==CODE_ERROR && memusage==MEM_HIGH)
+%   XtX = colnorms_squared(data);
+%   if (testgen)
+%     XtXg = colnorms_squared(testdata);
+%   end
+% end
+
+
+% mutual incoherence limit %
+
+if (isfield(params,'muthresh'))
+  muthresh = params.muthresh;
+else
+  muthresh = 0.99;
+end
+if (muthresh < 0)
+  error('invalid muthresh value, must be non-negative');
+end
+
+
+
+
+
+% determine dictionary size %
+
+if (isfield(params,'initdict'))
+  if (any(size(params.initdict)==1) && all(iswhole(params.initdict(:))))
+    dictsize = length(params.initdict);
+  else
+    dictsize = size(params.initdict,2);
+  end
+end
+if (isfield(params,'dictsize'))    % this superceedes the size determined by initdict
+  dictsize = params.dictsize;
+end
+
+if (size(X,2) < dictsize)
+  error('Number of training signals is smaller than number of atoms to train');
+end
+
+
+% initialize the dictionary %
+
+if (isfield(params,'initdict'))
+  if (any(size(params.initdict)==1) && all(iswhole(params.initdict(:))))
+    D = X(:,params.initdict(1:dictsize));
+  else
+    if (size(params.initdict,1)~=size(X,1) || size(params.initdict,2)<dictsize)
+      error('Invalid initial dictionary');
+    end
+    D = params.initdict(:,1:dictsize);
+  end
+else
+  data_ids = find(colnorms_squared(X) > 1e-6);   % ensure no zero data elements are chosen
+  perm = randperm(length(data_ids));
+  D = X(:,data_ids(perm(1:dictsize)));
+end
+
+% normalize the dictionary %
+
+% D = normcols(D);
+% DtD=D'*D;
+
+err = zeros(1,iternum);
+gerr = zeros(1,iternum);
+
+if (codemode == CODE_SPARSITY)
+  errstr = 'RMSE';
+else
+  errstr = 'mean atomnum';
+end
+%X(:,p(X_norm_sort<thresh))=0;
+% if (iternum==4)
+%     X_im=col2imstep(X, [256 256], [8 8]);
+% else
+%     X_im=col2imstep(X, [512 512], [8 8]);
+% end
+% figure(10); imshow(X_im);
+
+%p1=p(cumsum(X_norm_sort)./[1:size(X_norm_sort,2)]>thresh);
+p1=p(X_norm_sort>thresh);
+tic; idx=kmeans(X(:,p1)',4, 'Start', 'cluster','MaxIter',200); toc
+D=[D D D D];
+dictsize1=4*dictsize;
+% X(:,setxor(p1,1:end))=0;
+% X_im=col2imstep(X, [256 256], [8 8]);
+% figure(10); imshow(X_im);
+% if iternum==2
+% D(:,1)=D(:,2);
+% end
+%p1=p1(p2(1:40000));
+%end-min(40000, end)+1:end));%1:min(40000, end)));
+%p1 = randperm(size(data,2));%size(data,2)
+%data=data(:,p1);
+
+C=(100000*thresh)*eye(dictsize1);
+% figure(11);
+w=zeros(dictsize,1);
+replaced=zeros(dictsize,1);
+u=zeros(dictsize,1);
+%   dictimg = showdict(D,[8 8],round(sqrt(size(D,2))),round(sqrt(size(D,2))),'lines','highcontrast');
+%   figure(11);imshow(imresize(dictimg,2,'nearest'));
+%  pause(1);
+lambda=0.99986;%3+0.0001*params.linc;
+for j=1:1
+if size(p1,2)>60000
+    p2 = randperm(size(p1,2));
+    
+    p2=sort(p2(1:60000));%min(floor(size(p1,2)/2),40000)));
+    size(p2,2)
+    data=X(:,p1(p2));
+elseif size(p1,2)>0
+    p2 = randperm(size(p1,2));
+    size(p2,2)
+    data=X(:,p1);
+else
+    break;
+end
+% figure(1);
+% plot(sqrt(sum(data.^2, 1)));
+% a=size(data,2)/4;
+% lambda0=0.99;%1-16/numS+iternum*0.0001-0.0002
+%C(1,1)=0;
+modi=1000;
+for i = 1:size(data,2)
+%     if norm(data(:,i))>thresh
+    %      par.multA= @(x,par)  multMatr(D,x);     % user function   y=Ax
+    %      par.multAt=@(x,par)  multMatrAdj(D,x);  % user function  y=A'*x
+    %      par.y=data(:,i);
+     %  w=SolveFISTA(D,data(:,i),'lambda',0.5*thresh);
+     % w=sesoptn(zeros(dictsize,1),par.func_u, par.func_x, par.multA, par.multAt,options,par);
+   %w = SMALL_chol(D,data(:,i), 256,32, thresh);%
+   %w = sparsecode(data(:,i), D, [], [], thresh);
+   w = omp2mex(D(:,((idx(i)-1)*dictsize+1):idx(i)*dictsize),data(:,i),[],[],[],thresh,0,-1,-1,0);
+
+   %w(find(w<1))=0; 
+   %^2;
+%   lambda(i)=1-0.001/(1+i/a);
+% if i<a
+%     lambda(i)=1-0.001*(1-(i/a));
+% else
+%     lambda(i)=1;
+% end
+%    param.lambda=thresh;
+%    param.mode=2;
+%    param.L=32;
+%    w=mexLasso(data(:,i), D, param);
+    spind=find(w);
+    %replaced(spind)=replaced(spind)+1;
+    %-0.001*(1/2)^(i/a);
+%   w_sp(i)=nnz(w);
+    residual = data(:,i) - D (:,((idx(i)-1)*dictsize+1):idx(i)*dictsize)* w;
+   %if ~isempty(spind) 
+    %i
+   if (j==1) 
+    C = C *(1/ lambda);
+   end
+    u = C(((idx(i)-1)*dictsize+1):idx(i)*dictsize,((idx(i)-1)*dictsize)+spind) * w(spind);
+  
+   %spindu=find(u);
+   % v = D' * residual;
+    
+    alfa = 1/(1 + w' * u);
+    
+    D(:,((idx(i)-1)*dictsize+1):idx(i)*dictsize) = D (:,((idx(i)-1)*dictsize+1):idx(i)*dictsize)+ (alfa * residual) * u';
+    
+    %uut=;
+    C (((idx(i)-1)*dictsize+1):idx(i)*dictsize,((idx(i)-1)*dictsize+1):idx(i)*dictsize)= C(((idx(i)-1)*dictsize+1):idx(i)*dictsize,((idx(i)-1)*dictsize+1):idx(i)*dictsize) - (alfa * u)* u';
+   % lambda=(19*lambda+1)/20;
+   % DtD = DtD + alfa * ( v*u' + u*v') + alfa^2 * (residual'*residual) * uut;
+   
+%    if (mod(i,modi)==0)
+%        Ximd=zeros(size(X));
+%        Ximd(:,p1((i-modi+1:i)))=data(:,i-modi+1:i);
+%        
+%        if (iternum==4)
+%             X_ima(:,:,1)=col2imstep(Ximd, [256 256], [8 8]);
+%             X_ima(:,:,2)=col2imstep(X, [256 256], [8 8]);
+%             X_ima(:,:,3)=zeros(256,256);
+%        else
+%             X_ima(:,:,1)=col2imstep(Ximd, [512 512], [8 8]);
+%             X_ima(:,:,2)=col2imstep(X, [512 512], [8 8]);
+%             X_ima(:,:,3)=zeros(512,512);
+%        end
+%        
+%        dictimg1=dictimg;
+%        dictimg = showdict(D,[8 8],...
+%         round(sqrt(size(D,2))),round(sqrt(size(D,2))),'lines','highcontrast');
+%         dictimg1=(dictimg-dictimg1);
+%         
+%         figure(2);
+%         subplot(2,2,1); imshow(X_ima); title(sprintf('%d',i));
+%         subplot(2,2,3); imshow(imresize(dictimg,2,'nearest'));
+%         subplot(2,2,4);    imshow(imresize(dictimg1,2,'nearest'));
+%         subplot(2,2,2);imshow(C*(255/max(max(C))));
+%         pause(0.02);
+%         if (i>=35000) 
+%             modi=100;
+%             pause 
+%         end;
+%     end
+%    end
+end
+%p1=p1(setxor(p2,1:end));
+%[D,cleared_atoms] = cleardict(D,X,muthresh,p1,replaced);
+%replaced=zeros(dictsize,1);
+% W=sparsecode(data, D, [], [], thresh);
+% data=D*W;
+lambda=lambda+0.0002
+end
+%Gamma=mexLasso(data, D, param);
+%err=compute_err(D,Gamma, data);
+%[y,i]=max(err);
+%D(:,1)=data(:,i)/norm(data(:,i));
+D=normcols(D);
+D_norm=sqrt(sum(D.^2, 1));
+D_norm_1=sum(abs(D));
+% X_norm_1=sum(abs(X));
+% X_norm_inf=max(abs(X));
+[D_norm_sort, p]=sort(D_norm_1, 'descend');
+Dictionary = D;%D(:,p);
+% figure(3);
+% plot(lambda);
+% mean(lambda);
+% figure(4+j);plot(w_sp);
+end
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%             sparsecode               %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+function Gamma = sparsecode(data,D,XtX,G,thresh)
+
+global CODE_SPARSITY codemode
+global MEM_HIGH memusage
+global ompfunc ompparams
+
+if (memusage < MEM_HIGH)
+  Gamma = ompfunc(D,data,G,thresh,ompparams{:});
+  
+else  % memusage is high
+  
+  if (codemode == CODE_SPARSITY)
+    Gamma = ompfunc(D'*data,G,thresh,ompparams{:});
+    
+  else
+    Gamma = ompfunc(D, data, G, thresh,ompparams{:});
+  end
+  
+end
+
+end
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%             compute_err              %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+function err = compute_err(D,Gamma,data)
+  
+global CODE_SPARSITY codemode
+
+if (codemode == CODE_SPARSITY)
+  err = sqrt(sum(reperror2(data,D,Gamma))/numel(data));
+else
+  err = nnz(Gamma)/size(data,2);
+end
+
+end
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%           cleardict                  %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+function [D,cleared_atoms] = cleardict(D,X,muthresh,unused_sigs,replaced_atoms)
+
+use_thresh = 4;  % at least this number of samples must use the atom to be kept
+
+dictsize = size(D,2);
+
+% compute error in blocks to conserve memory
+% err = zeros(1,size(X,2));
+% blocks = [1:3000:size(X,2) size(X,2)+1];
+% for i = 1:length(blocks)-1
+%   err(blocks(i):blocks(i+1)-1) = sum((X(:,blocks(i):blocks(i+1)-1)-D*Gamma(:,blocks(i):blocks(i+1)-1)).^2);
+% end
+
+cleared_atoms = 0;
+usecount = replaced_atoms;%sum(abs(Gamma)>1e-7, 2);
+
+for j = 1:dictsize
+  
+  % compute G(:,j)
+  Gj = D'*D(:,j);
+  Gj(j) = 0;
+  
+  % replace atom
+  if ( (max(Gj.^2)>muthresh^2 || usecount(j)<use_thresh) && ~replaced_atoms(j) )
+%     [y,i] = max(err(unused_sigs));
+    D(:,j) = X(:,unused_sigs(end)) / norm(X(:,unused_sigs(end)));
+    unused_sigs = unused_sigs([1:end-1]);
+    cleared_atoms = cleared_atoms+1;
+  end
+end
+
+end
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%            misc functions            %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+function err2 = reperror2(X,D,Gamma)
+
+% compute in blocks to conserve memory
+err2 = zeros(1,size(X,2));
+blocksize = 2000;
+for i = 1:blocksize:size(X,2)
+  blockids = i : min(i+blocksize-1,size(X,2));
+  err2(blockids) = sum((X(:,blockids) - D*Gamma(:,blockids)).^2);
+end
+
+end
+
+
+function Y = colnorms_squared(X)
+
+% compute in blocks to conserve memory
+Y = zeros(1,size(X,2));
+blocksize = 2000;
+for i = 1:blocksize:size(X,2)
+  blockids = i : min(i+blocksize-1,size(X,2));
+  Y(blockids) = sum(X(:,blockids).^2);
+end
+
+end
+
+

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/DL/RLS-DLA/SolveFISTA.m	Mon Mar 14 15:35:24 2011 +0000
@@ -0,0 +1,211 @@
+% Copyright ©2010. The Regents of the University of California (Regents). 
+% All Rights Reserved. Contact The Office of Technology Licensing, 
+% UC Berkeley, 2150 Shattuck Avenue, Suite 510, Berkeley, CA 94720-1620, 
+% [phone], for commercial licensing opportunities.
+
+% Authors: Arvind Ganesh, Allen Y. Yang, Zihan Zhou.
+% Contact: Allen Y. Yang, Department of EECS, University of California,
+% Berkeley. <[e-mail]>
+
+% IN NO EVENT SHALL REGENTS BE LIABLE TO ANY PARTY FOR DIRECT, INDIRECT, 
+% SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES, INCLUDING LOST PROFITS, 
+% ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION, EVEN IF 
+% REGENTS HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+% REGENTS SPECIFICALLY DISCLAIMS ANY WARRANTIES, INCLUDING, BUT NOT LIMITED
+% TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A 
+% PARTICULAR PURPOSE. THE SOFTWARE AND ACCOMPANYING DOCUMENTATION, IF ANY, 
+% PROVIDED HEREUNDER IS PROVIDED "AS IS". REGENTS HAS NO OBLIGATION TO 
+% PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.
+
+%% This function is modified from Matlab code proximal_gradient_bp
+
+function [x_hat,nIter] = SolveFISTA(A,b, varargin)
+
+% b - m x 1 vector of observations/data (required input)
+% A - m x n measurement matrix (required input)
+%
+% tol - tolerance for stopping criterion.
+%     - DEFAULT 1e-7 if omitted or -1.
+% maxIter - maxilambdam number of iterations
+%         - DEFAULT 10000, if omitted or -1.
+% lineSearchFlag - 1 if line search is to be done every iteration
+%                - DEFAULT 0, if omitted or -1.
+% continuationFlag - 1 if a continuation is to be done on the parameter lambda
+%                  - DEFAULT 1, if omitted or -1.
+% eta - line search parameter, should be in (0,1)
+%     - ignored if lineSearchFlag is 0.
+%     - DEFAULT 0.9, if omitted or -1.
+% lambda - relaxation parameter
+%    - ignored if continuationFlag is 1.
+%    - DEFAULT 1e-3, if omitted or -1.
+% outputFileName - Details of each iteration are dumped here, if provided.
+%
+% x_hat - estimate of coeeficient vector
+% numIter - number of iterations until convergence
+%
+%
+% References
+% "Robust PCA: Exact Recovery of Corrupted Low-Rank Matrices via Convex Optimization", J. Wright et al., preprint 2009.
+% "An Accelerated Proximal Gradient Algorithm for Nuclear Norm Regularized Least Squares problems", K.-C. Toh and S. Yun, preprint 2009.
+%
+% Arvind Ganesh, Summer 2009. Questions? [e-mail]
+
+DEBUG = 0 ;
+
+STOPPING_GROUND_TRUTH = -1;
+STOPPING_DUALITY_GAP = 1;
+STOPPING_SPARSE_SUPPORT = 2;
+STOPPING_OBJECTIVE_VALUE = 3;
+STOPPING_SUBGRADIENT = 4;
+STOPPING_DEFAULT = STOPPING_SUBGRADIENT;
+
+stoppingCriterion = STOPPING_DEFAULT;
+maxIter = 1000 ;
+tolerance = 1e-3;
+[m,n] = size(A) ;
+x0 = zeros(n,1) ;
+xG = [];
+
+%% Initializing optimization variables
+t_k = 1 ; 
+t_km1 = 1 ;
+L0 = 1 ;
+G = A'*A ;
+nIter = 0 ;
+c = A'*b ;
+lambda0 = 0.99*L0*norm(c,inf) ;
+eta = 0.6 ;
+lambda_bar = 1e-4*lambda0 ;
+xk = zeros(n,1) ;
+lambda = lambda0 ;
+L = L0 ;
+beta = 1.5 ;
+
+% Parse the optional inputs.
+if (mod(length(varargin), 2) ~= 0 ),
+    error(['Extra Parameters passed to the function ''' mfilename ''' lambdast be passed in pairs.']);
+end
+parameterCount = length(varargin)/2;
+
+for parameterIndex = 1:parameterCount,
+    parameterName = varargin{parameterIndex*2 - 1};
+    parameterValue = varargin{parameterIndex*2};
+    switch lower(parameterName)
+        case 'stoppingcriterion'
+            stoppingCriterion = parameterValue;
+        case 'groundtruth'
+            xG = parameterValue;
+        case 'tolerance'
+            tolerance = parameterValue;
+        case 'linesearchflag'
+            lineSearchFlag = parameterValue;
+        case 'lambda'
+            lambda_bar = parameterValue;
+        case 'maxiteration'
+            maxIter = parameterValue;
+        case 'isnonnegative'
+            isNonnegative = parameterValue;
+        case 'continuationflag'
+            continuationFlag = parameterValue;
+        case 'initialization'
+            xk = parameterValue;
+            if ~all(size(xk)==[n,1])
+                error('The dimension of the initial xk does not match.');
+            end
+        case 'eta'
+            eta = parameterValue;
+            if ( eta <= 0 || eta >= 1 )
+                disp('Line search parameter out of bounds, switching to default 0.9') ;
+                eta = 0.9 ;
+            end
+        otherwise
+            error(['The parameter ''' parameterName ''' is not recognized by the function ''' mfilename '''.']);
+    end
+end
+clear varargin
+
+if stoppingCriterion==STOPPING_GROUND_TRUTH && isempty(xG)
+    error('The stopping criterion must provide the ground truth value of x.');
+end
+
+keep_going = 1 ;
+nz_x = (abs(xk)> eps*10);
+f = 0.5*norm(b-A*xk)^2 + lambda_bar * norm(xk,1);
+xkm1 = xk;
+while keep_going && (nIter < maxIter)
+    nIter = nIter + 1 ;
+    
+    yk = xk + ((t_km1-1)/t_k)*(xk-xkm1) ;
+    
+    stop_backtrack = 0 ;
+    
+    temp = G*yk - c ; % gradient of f at yk
+    
+    while ~stop_backtrack
+        
+        gk = yk - (1/L)*temp ;
+        
+        xkp1 = soft(gk,lambda/L) ;
+        
+        temp1 = 0.5*norm(b-A*xkp1)^2 ;
+        temp2 = 0.5*norm(b-A*yk)^2 + (xkp1-yk)'*temp + (L/2)*norm(xkp1-yk)^2 ;
+        
+        if temp1 <= temp2
+            stop_backtrack = 1 ;
+        else
+            L = L*beta ;
+        end
+        
+    end
+    
+    switch stoppingCriterion
+        case STOPPING_GROUND_TRUTH
+            keep_going = norm(xG-xkp1)>tolerance;
+        case STOPPING_SUBGRADIENT
+            sk = L*(yk-xkp1) + G*(xkp1-yk) ;
+            keep_going = norm(sk) > tolerance*L*max(1,norm(xkp1));
+        case STOPPING_SPARSE_SUPPORT
+            % compute the stopping criterion based on the change
+            % of the number of non-zero components of the estimate
+            nz_x_prev = nz_x;
+            nz_x = (abs(xkp1)>eps*10);
+            num_nz_x = sum(nz_x(:));
+            num_changes_active = (sum(nz_x(:)~=nz_x_prev(:)));
+            if num_nz_x >= 1
+                criterionActiveSet = num_changes_active / num_nz_x;
+                keep_going = (criterionActiveSet > tolerance);
+            end
+        case STOPPING_OBJECTIVE_VALUE
+            % compute the stopping criterion based on the relative
+            % variation of the objective function.
+            prev_f = f;
+            f = 0.5*norm(b-A*xkp1)^2 + lambda_bar * norm(xk,1);
+            criterionObjective = abs(f-prev_f)/(prev_f);
+            keep_going =  (criterionObjective > tolerance);
+        case STOPPING_DUALITY_GAP
+            error('Duality gap is not a valid stopping criterion for PGBP.');
+        otherwise
+            error('Undefined stopping criterion.');
+    end
+    
+    lambda = max(eta*lambda,lambda_bar) ;
+    
+    
+    t_kp1 = 0.5*(1+sqrt(1+4*t_k*t_k)) ;
+    
+    t_km1 = t_k ;
+    t_k = t_kp1 ;
+    xkm1 = xk ;
+    xk = xkp1 ;
+end
+
+x_hat = xk ;
+
+function y = soft(x,T)
+if sum(abs(T(:)))==0
+    y = x;
+else
+    y = max(abs(x) - T, 0);
+    y = sign(x).*y;
+end