[topicmaps-comment] SLIP convolutions

[paul <beadmaster@ontologystream.com>]

This note is part of the new paper at:

http://www.ontologystream.com/journal/eCI/C6.htm

We would like to have comments and collaboration from those who ae willing.



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VisualAbstraction (vA) “stands-in-for” the data by being a convolution over
the data and preserving only one abstract construct for each invariant in
the data.


A static type of eventChemistry could be developed without vA by hard coding
a graph structure (ontology) and metadata that informs us about the
information that is attached to the graph nodes and links.  But this hand
coding is often

*  Filled with human error
*  Takes a great amount of human effort
*  Has no mechanism for fully, easily and automatically accounting for
situational scope (semantic context).


The SLIP convolutions are done in a Hilbert space using I-RIB lines where
the ordering of data in base 64 (ASCII base).  With these I-RIB innovations,
one changes how one regards that data.  The change allows one to convert a
set-membership question into a location-on-a-geometric-line question.  This
conversion takes n machine cycles where 2^n is the size of the set.  One can
see this speed in the scatter-gather iterations done with the SLIPCore
browser.  Four hours is reduced to 2 seconds.  The technique is simple and
is public domain.


The result of this aggregation (convolution) process is the production of
elemental Peirce type syntagmatic units in the form of


< a1, b, a2 >


where a1 and a2 are locations in the graph and b is a relational variable.
The atoms and links are “measured” from the data using a link analysis type
conjecture.


It can be noted then that the set of atoms and the set of links is
express-able as XML and thus that XML streaming of the data is possible.  In
doing this, we need not be formally concerned with where the atoms and links
came from, as long as they have a specific form (as syntagmatic units).  If
the set of atoms and the set of links are grounded due a production by the
SLIP conjecture, then the abstractions ARE the data seen through this
convolution.  There is no meaning at all, and this is left for humans to
decide.  The abstractions are an ontology in the full sense, and the
expression of the ontology (gene) as knowing under interpretation
(epistemology – phenome) is left for the human mind and taken away from the
machine.


However, the atoms and links need not some from the SLIP convolutions.

If the set of atoms and the set of links is a descriptively enumerated
machine ontology system like a Cyc upper ontology or a topic map, then the
rendering of the compounds can have a late binding of scope, using any one
of a set of rules.