[comp.ai.neural-nets] Quantitative test for linear separability

WHITELEY-J@OSU-20.IRCC.OHIO-STATE.EDU (J. Whiteley) (08/07/90)

Can anyone provide pointers to a quantitative test which can
be used to determine whether a set of high dimension patterns
(eg, d > 20) is linearly separable?  I have located a test
by Singleton (1962) which can be used on binary data but I 
need a test for analog (real-valued) data instead.

Duda's book (Pattern Classification and Scene Analysis, 1973) suggests
that the simplex linear programming method can be used (pp 166-169).
However, for a two class problem where the discriminant function
is either > or < zero, I fail to see how LP can be used to arrive
at a meaningful solution.

Any suggestions or help would be greatly appreciated!!!

--Rob Whiteley  (email:  whiteley-j@osu-20.ircc.ohio-state.edu)
  Dept of Chemical Engineering
  Ohio State University
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