Re: Feature Transform
Quote:
Originally Posted by Serega
I don't understand why feature transform formulas have repeated inputs. For example the formula
(3.13) 
includes untransformed  twice. Suppose I find some weight vector  and I have
![h(x) = sign \left ( [w_0 w_1 w_2 w_3 w_4 w_5 w_6] dot [1, x_1, x_2, x_1^2, x_1, x_2, x_2^2]\right )](/vblatex/img/e07fb1d3868cbbeb2cfaacc290d7081d-1.gif "h(x) = sign \left ( [w_0 w_1 w_2 w_3 w_4 w_5 w_6] dot [1, x_1, x_2, x_1^2, x_1, x_2, x_2^2]\right )")
I can replace it with
![h(x) = sign \left ( [w_0 (w_1 + w_2) (w_3+ w_4) w_5 w_6] dot [1, x_1, x_2, x_1^2, x_2^2]\right )](/vblatex/img/653e79a017114d63732bac03a4ee4e40-1.gif "h(x) = sign \left ( [w_0 (w_1 + w_2) (w_3+ w_4) w_5 w_6] dot [1, x_1, x_2, x_1^2, x_2^2]\right )")
and get the same result. What do we get by including the same variable twice?
Thanks. |
The last appearance of  and  in the transform formula is actually  (multiplied) not  (with a comma).
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