How to make a plane curved
Fitting hyperplanes as
separators is mathematically
easy.
The mathematics is linear.
By replacing the raw input
variables with a much larger
set of features we get a nice
property:
A planar separator in the
high-dimensional space of
feature vectors is a curved
separator in the low
dimensional space of the
raw input variables.
A planar separator in
a 20-D feature space
projected back to the
original 2-D space