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If a family of neurons sharing the same input
field from some part of
the sensorium may be crudely modelled as a dynamical
and sequential form
of a gaussian mixture model finding clusters in
the data, we have some
interesting grounds for speculation about statistical
models. I shall
avoid this and go straight to the propensity for
neurons to form layers,
and for the output of one layer to be the input
to the succeeding layer.
If each layer is accomplishing a model for the
local clustering of its
input, is a sequence of layers of such families
implementing Syntactic
Pattern Recognition? It is easy to see that this
is not too hard a
question to answer in the affirmative. The process
of chunking I have
described is readily seen to be easily implementable
in layers of
cluster finding entitities. The details need rather
more formalism than
I allow myself in this present book, but I claim
it can be done.
Moreover, the evolutionary process of layer formation
can easily be
accounted for along the lines discussed earlier,
when I pointed out the
variation in data that could be accommodated more
effectively by having
intermediate levels of UpWrite. We can essentially
identify the levels
of UpWrite with the layers of processing elements.
Next: Summary of Chapter
Up: Neural Modelling
Previous: Extensions to Higher Order
Mike Alder
9/19/1997