Different kind of normalization

Question

Sam Da 2011-3-15

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/3237-different-kind-of-normalization

回答： Steven Lord 2020-5-11

I have read in Matlab that normalization of a vector is u/norm(u).

However, I have a matrix (N x N)where the columns are different vectors. I want for each element of column vectors to do something like: (u(i) - mean(u))/std(u) without looping so that at the end of it each column vectors are bunch of standard normals.

Is there a standard way to do it in matlab or do I really have to code the loop.

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Answer 1

Oleg Komarov 2011-3-15

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/3237-different-kind-of-normalization#answer_4843

在 MATLAB Online 中打开

% Create standard normal distributed samples with std = 100;
A = randn(100000,10)*100;
% Normalize
B = bsxfun(@rdivide,bsxfun(@minus,A,mean(A)), std(A));
% Check first column
hist(B(:,1),100)

Note that mean and std operate along rows, i.e. for a matrix they give a result for each column.

Oleg