RMSE between two variables
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silvia battistella
on 5 Mar 2018
Edited: MathWorks Support Team
on 2 Mar 2023
Hello, I am really new at matlab. I am trying to create a sub-function that has an input of two vectors and output the RMSE between the values in the vectors. Anyone can help? I would love to understand step by step. thanks to anybody that can help!!
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Accepted Answer
Star Strider
on 5 Mar 2018
Edited: MathWorks Support Team
on 2 Mar 2023
UPDATE: Starting in R2022b, you can now calculate Root Mean Square Error using the built in MATLAB function ‘rmse’:
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‘RMSE’ of course means ‘root mean squared error’, or the square root of the mean of the squared error.
The simplest code for this is then:
V1 = rand(10,1);
V2 = rand(10,1);
RMSE = sqrt(mean((V1-V2).^2));
where the error is (V1-V2), and ‘.^2’ denotes element-wise squaring of the error (the difference between ‘V1’ and ‘V2’). The rest of the expression takes the mean of the squared differences, and sqrt takes the square root, completing the definition.
12 Comments
Rachel Hall
on 24 Apr 2020
@Image Analyst,
I don't think RMSE and RMS are the same; I'm currently fining that out...
Marcos Conde
on 26 Jan 2022
Yes and No. Actually, RMSE=rms(E), since E(rror) is the difference. In the example above: RMSE=rms(V1-V2)
More Answers (1)
Rik
on 5 Mar 2018
There are two main ways of doing this: an anonymous function and a 'normal' function.
%anonymous function:
calculate_RMSE=@(a,b) sqrt(mean((a(:)-b(:)).^2));
%normal function (save this in calc_RMSE.m)
function rmse=calc_RMSE(a,b)
rmse=sqrt(mean((a(:)-b(:)).^2));
The two function can be used in the exact same way. The second option provides more options for checking if the input is correct.
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