Init

can_recovery.m

@@ -0,0 +1,25 @@
+function flg = can_recovery(n, s)
+    d = 100;
+    eps = 1e-5;
+    theta = randn(n, d);
+    y = theta * x;
+    
+    x = zeros(d, 1);
+    random_indices = randperm(d, s);
+    x(random_indices) = randn(s, 1);
+    x = sign(x);
+
+    cvx_begin
+        variable s1(d)
+        minimize(norm(s1, 1))
+        subject to
+            norm(y - theta * s1) <= eps
+    cvx_end
+
+    p = norm(x-s1, 2);
+    if p < eps
+        flg = 1;
+    else
+        flg = 0;
+    end
+end