Quote:
Originally Posted by marek
I think I can answer my own question here, but it would add peace of mind to get a confirmation. In the perceptron model, once you fix a dividing line/plane, you still have the choice of which region gets assigned the +1, correct?
I believe this to be the case, because the vector w and the vector w both give the same geometry, but sign of the two vectors give opposite values. I ask because if this is not the case, and the geometry does fix the region (say "above" the plane is +1), then that would change my answer for #4.

A little more completely, a vector
gives a real value
to every point
. The points at which
form a hyperplane. The points at which
are on one side of the hyperplane, the points at which
are on the other side. Changing from
to
, all the values of
are multiplied by
. As a result, the hyperplane where
stays the same, but the two regions defined by the sign of
swap over.