Add lyh-非满秩相变

2024-11-11 16:33:48 +08:00
parent e6a19b477e
commit e0b910b56d
52 changed files with 208020 additions and 0 deletions
@@ -0,0 +1,51 @@
+%初值设定
+N = 64; %最大行数
+D = 32; %块数
+m = 4;  %块的列数
+d = 2;  %块内rank/维度
+result = zeros(N,D);    %保留结果
+%按行数循环
+for n = 1:N
+A = zeros(n,m*D);
+B = zeros(n,d*D);
+%按稀疏度循环
+for k = 1:D
+    %50次重复实验
+    for j = 1:50
+	re_err = 0;
+        for i = 0:D-1
+        %生成高斯基集
+	    set = randn(n,d);
+        %生成随机的模为1的向量，与基集相乘得到块不满秩的高斯矩阵
+	    theta = rand(1,4)*2*pi;
+	    temp = [sin(theta);cos(theta)];
+            A(:,m*i+1:m*i+m) = set*temp;
+        end
+        x = zeros(m,D);
+        col = randperm(D,k);
+        x(:,col) = randn(m,k);
+        y = A * x(:);
+        %凸优化利用l21范数求解恢复问题
+        cvx_begin
+        variable x_e(m,D) 
+        norm21 = 0;
+        for i = 1:D
+            norm21 = norm21 + norm(x_e(:,i));
+        end
+        minimize(norm21)
+        subject to
+        A*x_e(:) == y
+        cvx_end
+        
+        
+         %得到重建效果
+        for i = 1:D
+            re_err = re_err+norm(A(:,(i-1)*m+1:i*m)*(x_e(:,i)-x(:,i)));
+       	end
+	if re_err<10e-4
+		result(n,k) = result(n,k)+1;
+	end 
+    end
+end
+end
+save('gaussD32m4d2class.mat');