Nested for loop vectorization

Hello everyone,
I am trying to vectorize the creation of this symmetric matrix.
I have tried with meshgrid and ngrid, but I could not find a way to make them work with the way I use X.
Any advice?
Thank you!
X = [1:10; 2:11]';
n = length(X);
theta = .1;
Mat = zeros(n,n);
for i=1:n
for j=i+1:n
Mat(i,j)=exp(-sum(theta.*abs(X(i,:)-X(j,:)).^p));
end
end
Mat = Mat+Mat'+eye(n);

 采纳的回答

% Hi, in your code p is not defined. I assume it is a scalar
% If you want to avoid the loop the answer is
% Mat=exp(-theta*(squareform(pdist(X,'minkowski',p))).^p);
% The code below checks that my implementation gives the same answer as
% your implementation
% Best
% Marco
X = [1:10; 2:11]';
p=3;
n = length(X);
theta = 0.1;
Mat = zeros(n,n);
for i=1:n
for j=i+1:n
Mat(i,j)=exp(-sum(theta.*abs(X(i,:)-X(j,:)).^p));
end
end
Mat = Mat+Mat'+eye(n);
Matchk=exp(-theta*(squareform(pdist(X,'minkowski',p))).^p);
disp(max(abs(Mat-Matchk),[],'all'))

1 个评论

It works flawlessly, just a note on performance for future readers. The code is more efficient than the nested loop for n>100.
Grazie Mille Marco

请先登录,再进行评论。

更多回答(0 个)

类别

帮助中心File Exchange 中查找有关 Loops and Conditional Statements 的更多信息

产品

版本

R2019b

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by