Everyone seems to want to compute with positives - indicators,
probabilities, confidence, etc. HOWEVER, the math is more solid when
computing with negatives, e.g. the likelihood that there is NO indicator of
the absence of something. The presence/absence is often difficult to
compute, but the indicators are easy to compute - and, lots of indicators
of something is still unreliable, but an indicator of the absence of
something is MUCH more reliable.

See what I mean - simpler math leading to quantitatively correct results?

Steve

On Wed, Jun 12, 2019, 9:18 AM Jim Bromer <[email protected]> wrote:

> I watched the video on Binons but not the one on Hierarchies. I have been
> at this for longer than I care to admit so I feel that I have seen things
> like this before. I am looking forward to watching the video on
> Hierarchies. My imagining of what I might be able to effectively use as a
> kind of conceptual mathematics is not going to be answered by a nodal
> network kind of thing - even though it would probably be accurately
> described as a kind of nodal network. Does that make sense? If someone
> talked about a nodal network I would think of something that was similar to
> a neural network or a conceptual network. But, the thing is, that both
> these networks are going to use conventional mathematical methods to
> represent the weights of the system (or the discrete decision methods of
> the system.) Now, even if I was able to successfully develop my idea of a
> different kind of mathematics it still could be analyzed using traditional
> or conventional computational methods. So it would probably be describable
> using nodal networks along with conventional mathematics. But the point is
> that maybe there is some kind of non-conventional mathematics that could be
> useful and especially efficient in a specialized AI program, just because
> the program is specialized and does not need to apply the broad range of
> utilizations that conventional mathematics can reach.
> I am interested in the video of the Hierarchies and I will watch it
> tonight.
> Jim Bromer
>
>
> On Tue, Jun 11, 2019 at 10:05 PM Brett N Martensen <[email protected]>
> wrote:
>
>> Hi Jim,  I've been following this discussion with interest. Good stuff.
>> If you are looking for a way of representing those millions of bits and
>> only use a small part of it at a time and build it hierarchically may I
>> suggest you look into binons.  In the presentations on binons and the
>> presentation on hierarchies (slide 13) it shows how to combine many
>> independent properties/features using binary nodes.  The website is
>> www.adaptroninc.com   Cheers, Brett
>>
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