On 11/27/06, YKY (Yan King Yin) <[EMAIL PROTECTED]> wrote:

The problem is that this thing, "on", is not definable in n-space via
operations like AND, OR, NOT, etc.  It seems that "on" is not definable by
*any* hypersurface, so it cannot be learned by classifiers like feedforward
neural networks or SVMs.  You can define "apple on table" in n-space, which
is the set of all configurations of apples on tables; but there is no way to
define "X is on Y" as a hypervolume, and thus to make it learnable.


perhaps my view of a hypersurface is wrong, but wouldn't a subset of the
dimensions associated with an object be the physical dimensions?  (ok,
virtual physical dimensions)

Is "On" determined by a point of contact between two objects?  (A is on B
and B is on A)
Or is there a dependancy on the direction of gravity? (A is on B, but B is
on the floor)

You say that "on" could not be learned - why not?  In this case it would
seem that the meaning would effectively be "cultural" and the meaning would
depend on the semantic usage/intent of the tutors..

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