validation exercises, unclear about non-linear transformation functions

[Dorian]

Hi,

I am not completely sure about the definition of the functions to for the validation exercises 1-5.

Is it that is , then the rest keep adding the features until has all of them?

thanks,
Dorian.

[Joe Turner]

Same question here. Do we have:
, or ?

[yaser]

Originally Posted by Dorian

Hi,

I am not completely sure about the definition of the functions to for the validation exercises 1-5.

Is it that is , then the rest keep adding the features until has all of them?

thanks,
Dorian.

through correspond to the coordinates given in the preamble to Problem 1, namely . The full transformation of through for a given values of would be given by the vector .

[Dorian]

Thanks professor! It had to be a vector, of course.

As in other exercises, coding concrete examples is great and is really the only way to concretely understand what is taught in class.

In this case, are you also trying to illustrate the balance when chosing the size of the validation sample, i.e. we can get closer to Eout chosing a larger sample but Eout itself will get worse, because we are removing too many points from the training set? I try to understand the point of each exercise, I hope I am not making too much of it

thanks again,
Dorian.

[yaser]

Originally Posted by Dorian

are you also trying to illustrate the balance when chosing the size of the validation sample, i.e. we can get closer to Eout chosing a larger sample but Eout itself will get worse, because we are removing too many points from the training set? I try to understand the point of each exercise, I hope I am not making too much of it

Indeed, this is one of the issues that the problem tests.