How to simulate the given optimization problem related to SVM in MATLAB ?

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charu shree 2023-3-21

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https://ww2.mathworks.cn/matlabcentral/answers/1932400-how-to-simulate-the-given-optimization-problem-related-to-svm-in-matlab

编辑： Torsten 2023-3-23

Hello all, I am trying to optimize the following problem in MATLAB. It is related to multiclass classification using SVM. There are total 16 classes (𝓁 is from 1 to 16).

where

is a column vector of dimension

is also a column vector of dimension

is matrix of dimension

row vector of

and

is the Gaussian radial basis function, where

is the variance.

The main moto in this optmization problem is to obtain the value of α for 16 different 𝓁 i.e., I have to obtain

With the help from Torsten (Level 9 MVP) and Matt J (Level 10 MVP), I had understood how to solve the function

inside two summation.

My query is for 16 different b each of dimension

, how to solve this optimization problem.

Any help in this regard will be highly appreciated.

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Catalytic 2023-3-22

编辑：Catalytic 2023-3-22

So is this approach correct ?

Probably. But why not just try it, rather than waiting hours and hours for other people to weight in? You could have verified by now whether it works.

Torsten 2023-3-23

编辑：Torsten 2023-3-23

在 MATLAB Online 中打开

@charu shree

The code above is not for l=1, but a general code for arbitrary dimension of alpha.

You only need to fill in the correct values for K, b and C instead of the phantasy values used here:

K=rand(3); 
K=K*K.';
b=rand(3,1)-0.5;
C=5;

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