Question about the link parameter C has with he strength of the regularization in SVC #33142
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smahalia-cmyk
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Hello everyone,
There is something I don't understand in the SVC and LinearSVC documentation :
C is said to be a "Regularization parameter. The strength of the regularization is inversely proportional to C". So that seems that it's the constraint ∑ϵi≤C with ϵi being the amount of violation each data point xi is allowed to have. (*)
But when I click on the link given in the same scikit-learn definition, C seems to be the cost associated with the loss function :
Wouldn't it be proportional to the strength of the regularization then ?
(*) For more details, here is the definition of the optimization problem I am writing about in the first bullet point, taken from Introduction to Statistical Leanring:

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