On 11/26/06, Pei Wang <[EMAIL PROTECTED]> wrote:
Therefore, the problem of using an n-space representation for AGI is
not its theoretical possibility (it is possible), but its practical
feasibility. I have no doubt that for many limited application,
n-space representation is the most natural and efficient choice.
However, for a general purpose system, the situation is very
different. I'm afraid for AGI we may have to need millions (if not
more) dimensions, and it won't be easy to decide in advance what
dimensions are necessary.

I see evidence of dimensionality reduction by humans in the fact that
adopting a viewpoint has such a strong effect on the kind of
information a person is able to absorb.  In conversations about
politics or religion, I often find ideas that to me seem simple, that
I cannot communicate to someone of a different viewpoint.  We both
start with the same input - some English sentences, say - but I think
we compress them in different, yet internally consistent, ways.  Their
viewpoint is based on a compression scheme that simply compresses out
what I am trying to communicate.

It may be that psychological repression is the result of compressing
out dimensions, or data, that had low utility.  Someone who is
repeatedly exposed to a trauma which they are unable to do anything
about may calculate, subconsciously, that the awareness of that trauma
is simply useless information.

Trying to suggest a PCA-like dimensionality reduction of concepts by
humans has the difficulty that a human should then remember, or be
aware of, those implications of a sentence which have had the most
variance, or the most impact, in their experiences.  In fact, we often
find people make the greatest compression along dimensions that have
the highest importance to them, compressing a whole set of important
distinctions into the binary "good-evil" dimension.  It may be that
our motivational system can handle only a small number of dimensions -
say, five - and that "good-evil" is one of the principle components
whose impact is so large we are actually aware of it.

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