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Old 05-06-2013, 05:51 AM
sninoz sninoz is offline
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Default 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.
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Old 05-06-2013, 10:21 AM
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yaser yaser is offline
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Default Re: HW5 Q2 - ambiguity?

Quote:
Originally Posted by sninoz View Post
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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