MSE and RMSE of a matrix

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Sadiq Akbar 2020-10-3

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评论： KSSV 2020-10-4

I have a reference vector u of size 1x8. In this matrix the 1st four columns are voltage readings and last four columns are current readings.i.e.

u=[v1 v2 v3 v4 i1 i2 i3 i4];

Likewise I have another set of 100 vectors.The size of each of them is also 1x8. The nature of those vectors is also same like u i.e. 1st four columns are voltages and last four columns are currents in each of them. If I write those 100 vectors in a matrix called two. The size of the matrix two becomes 100x8. Now I find the difference between each of the row of matrix two and u. i.e.This gives me another matrix Error of size 100x8. i.e.

Error(nn,:)= abs(u(1,:)-two(nn,:));

Now I want to find the MSE and RMSE of this matrix Error and plot both the MSE and RMSE.

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Sadiq Akbar 2020-10-3

在 MATLAB Online 中打开

This is my code. Is this correct?

u=[1 1.5 2 2.5 150 20 60 110];
two=randi(100,8);
for nn=1:100
Error(nn,:)= abs(u(1,:)-two(nn,:));
Error4sn0(nn)=abs(Error(nn,:)).^2;  % Sqaured Error of Four sources
MSE4sn0(nn) = sum(Error4sn0(nn,:))/8;
end
MSE4sn0=MSE4sn0';
MSE4sn0=sort(MSE4sn0,'descend');
t=1:100;
semilogy(t,smooth(MSE4sn0),'linewidth',2)
xlabel('Runs')
ylabel('MSE')
title('MSE of All ')

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回答（1 个）

KSSV 2020-10-3

0
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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/604126-mse-and-rmse-of-a-matrix#answer_504355

在 MATLAB Online 中打开

If yt and ye are the column vectors of theory and experimental values. You can get MSE, RMSE using:

e = (ye - yt)    % Errors
suqre_e = (ye - yt).^2   % Squared Error
MSE = mean((ye - yt).^2)   % Mean Squared Error
RMSE = sqrt(mean((ye - yt).^2));  % Root Mean Squared Error