LFD Book Forum Exercise 4.4
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#1
08-15-2015, 08:15 AM
 prithagupta.nsit Junior Member Join Date: Jun 2015 Posts: 7
Exercise 4.4

For Exercise 4.4

I am not able to understand that in this exercise 4.4, what is actually w and do we have to consider the regularizatio also and if the formulae:
Ein(w) =1/N (Zwlin − y)T * (Zwlin − y)

how can w-wlin come in picture.
by this formula I am able to get the second term but not the second term?
Can anyone help me derive this expression or can anyone share his/her solution with me.

http://book.caltech.edu/bookforum/showthread.php?t=4512
same is the Ein used here??? is it out of sample error... I am not able to understand the conflict. What my understanding is that we have derived wlin but for a variable vector we first check how much does it vary from the wlin and multiplied by Z vector gives us how much function vary from average hypothesis and the second term gives us the error of Wlin predicting outputs. Is my understanding right??
#2
08-24-2015, 06:04 AM
 magdon RPI Join Date: Aug 2009 Location: Troy, NY, USA. Posts: 595
Re: Exercise 4.4

is given in eq. (4.2). The exercise is asking you to rewrite this expression using and as defined in the problem.

is a variable parameter, it is not known. It is to be obtained by optimizing .

Quote:
 Originally Posted by prithagupta.nsit For Exercise 4.4 I am not able to understand that in this exercise 4.4, what is actually w and do we have to consider the regularizatio also and if the formulae: Ein(w) =1/N (Zwlin − y)T * (Zwlin − y) how can w-wlin come in picture. by this formula I am able to get the second term but not the second term? Can anyone help me derive this expression or can anyone share his/her solution with me. http://book.caltech.edu/bookforum/showthread.php?t=4512 same is the Ein used here??? is it out of sample error... I am not able to understand the conflict. What my understanding is that we have derived wlin but for a variable vector we first check how much does it vary from the wlin and multiplied by Z vector gives us how much function vary from average hypothesis and the second term gives us the error of Wlin predicting outputs. Is my understanding right??
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