Quote:
Originally Posted by vsthakur
Sorry for the delayed response here, but i still find that
is not the case for a perceptron in ddimensional space.
When N=6 and d=2, this equation says , while i was able to get 38 dichotomies (by picking 6 equidistant points on the circumference of a circle).
If i am missing something, then can you please point me to the proof.
Thank you.

I checked the case you are describing, and the number of dichotomies in the case is
. (Hint: did you doublecalculate the case of 3positive and 3negative?) Hope this helps.