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-   -   HW5 Q2 - ambiguity? (http://book.caltech.edu/bookforum/showthread.php?t=4269)

sninoz 05-06-2013 06:51 AM

HW5 Q2 - ambiguity?
 
If w_0 can be chosen to achieve the desired boundary, is it not the case that there is ambiguity in the answers? In particular, can't switching the signs of w_1 and w_2 work (as long we also have the appropriate change in sign for w_0, which is allowed since w_0 can be 'chosen to achieve the desired boundary')? Or is there an implicit restriction here that w_0 should be >=0, which is not stated in the question.

yaser 05-06-2013 11:21 AM

Re: HW5 Q2 - ambiguity?
 
Quote:

Originally Posted by sninoz (Post 10721)
If w_0 can be chosen to achieve the desired boundary, is it not the case that there is ambiguity in the answers? In particular, can't switching the signs of w_1 and w_2 work (as long we also have the appropriate change in sign for w_0, which is allowed since w_0 can be 'chosen to achieve the desired boundary')?

The sign of \tilde w_1 and \tilde w_2 cannot be compensated by changing the value of \tilde w_0. All these weights enter the formula that determines the function being implemented in a specific way.


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