LFD Book Forum validation exercises, unclear about non-linear transformation functions
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#1
05-14-2013, 07:54 PM
 Dorian Member Join Date: Apr 2013 Posts: 11
validation exercises, unclear about non-linear transformation functions

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.
#2
05-14-2013, 09:59 PM
 Joe Turner Junior Member Join Date: Apr 2013 Posts: 2
Re: validation exercises, unclear about non-linear transformation functions

Same question here. Do we have:
, or ?
#3
05-14-2013, 10:38 PM
 yaser Caltech Join Date: Aug 2009 Location: Pasadena, California, USA Posts: 1,478
Re: validation exercises, unclear about non-linear transformation functions

Quote:
 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 .
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#4
05-16-2013, 03:51 PM
 Dorian Member Join Date: Apr 2013 Posts: 11
Re: validation exercises, unclear about non-linear transformation functions

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.
#5
05-16-2013, 04:02 PM
 yaser Caltech Join Date: Aug 2009 Location: Pasadena, California, USA Posts: 1,478
Re: validation exercises, unclear about non-linear transformation functions

Quote:
 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.
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