questions on konhonen's map

[Geunbae Lee]

>What does "ordering" mean when your projecting inputs to a lower dimensional
>space? 
It means topological ordering

>For example, the "Peano" type curves that result from a one-D
>neighborhood learning a 2-D input distribution, it is obviously NOT 
>true that nearby points in the input space maximally activate nearby
>points on the neighborhood chain. 
It depends on what you mean by "near by" If it is near by in 
relative sense (in topological relation), not absolute sense, then
the nearby points in the input space DOES maximally activate nearby
points on the neighborhood chain.

--Geunbae Lee
  AI Lab, UCLA