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Old 09-07-2012, 12:48 PM
TonySuarez TonySuarez is offline
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Default Question 2 - Meaning of /g

I would like to clarify the meaning of \bar{g} in question 2 of the final exam, if possible...

Suppose the polynomial model g^{(D)}(X)=(1+W_D^T X)^Q which is applied to all X in a data (sub)set D. There are N_D data subsets, indexed by d. Under this model, \bar{g} is considered to be:

\bar{g}=\overline{g^{(D)}(X)}=\frac{1}{N_D}\sum_{d=1}^{N_D} (1+W_d^T X)^Q

or

\bar{g}=(1+\overline{W}^T X)^Q

where

\overline{W}=\frac{1}{N_D}\sum_{d=1}^{N_D} W_d \qquad ?

In other words, we average the "functional form" of the function, or we average the parameters of the function over the training subsets?

Thanks in advance.
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Old 09-07-2012, 01:19 PM
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yaser yaser is offline
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Default Re: Question 2 - Meaning of /g

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Originally Posted by TonySuarez View Post
In other words, we average the "functional form" of the function, or we average the parameters of the function over the training subsets?
The average of the functional form.
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Old 09-07-2012, 01:33 PM
TonySuarez TonySuarez is offline
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Default Re: Question 2 - Meaning of /g

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Originally Posted by yaser View Post
The average of the functional form.
Thank you very much Professor.

TS
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