RMSE between two variables
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silvia battistella
le 5 Mar 2018
Modifié(e) : MathWorks Support Team
le 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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Star Strider
le 5 Mar 2018
Modifié(e) : MathWorks Support Team
le 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.
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Rachel Hall
le 24 Avr 2020
@Image Analyst,
I don't think RMSE and RMS are the same; I'm currently fining that out...
Marcos Conde
le 26 Jan 2022
Yes and No. Actually, RMSE=rms(E), since E(rror) is the difference. In the example above: RMSE=rms(V1-V2)
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Rik
le 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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