I have a vector X with n features previously standardized.
If I want to generate new polynomial features (let say adding square features), do I need to do another standardization on these new features after the computing ?
Because knowing that my original features are already between 0 and 1, the new polynomial features will also be between 0 and 1. But the higher the degree is, the higher the "ratio" between the original one and the polynomial one will be.
Also, would that be better to do the square computing on the values of the non standardized features, and then standardize these new features ?
By the way, when I say "standardization", I m thinking about substrat each value by the mean and divide it by the std.
Thanks in advance,