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.

yaser · #2 09-07-2012, 01:19 PM

Quote:

Originally Posted by TonySuarez

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.

TonySuarez · #3 09-07-2012, 01:33 PM

Quote:

Originally Posted by yaser

The average of the functional form.

Thank you very much Professor.

TS

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