Question 2 - Meaning of /g

TonySuarez · #1 09-07-2012, 12:48 PM

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

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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