RMSE between two variables
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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
2018-3-5
编辑：MathWorks Support Team
2023-3-2
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 个评论
silvia battistella
2018-3-6
Star Strider
2018-3-6
As always, my pleasure!
Abinaya G EMBDD
2019-8-21
what is v1 and v2
Star Strider
2019-8-21
Anything you want them to be!
Star Strider
2020-1-18
That appears to be the correct way to calculate RMSE.
MAT-Magic
2020-1-18
Thanks. I edited the question and removed the mistakes.
Star Strider
2020-1-18
My pleasure.
I assume ‘single(1)’ and ‘single(2)’ are actually equal-length vectors.
Image Analyst
2020-1-18
There is an rms() function that you can use. It's been in the Signal Processing Toolbox since R2012a.
MAT-Magic
2020-1-19
@Star Yes, it's right.
@Image Thanks for the reply.
Rachel Hall
2020-4-24
@Image Analyst,
I don't think RMSE and RMS are the same; I'm currently fining that out...
Marcos Conde
2022-1-26
Yes and No. Actually, RMSE=rms(E), since E(rror) is the difference. In the example above: RMSE=rms(V1-V2)
更多回答（1 个）
Rik
2018-3-5
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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