First off, I don't believe them. (Incidentally, I now think my polynomial
time 3-SAT solver is not going to work.)

"the machine we built is analog and hence would be scalable to very large
numbers of memprocessors only in the absence of noise or using some
error-correcting codes. This problem derives from the fact that in the
present realization, we use the frequencies of the collective state to
encode information, and to maintain the energy of the system bounded, the
amplitudes of the frequencies are dampened exponentially with the number of
memprocessors involved. However, this latter limitation is due to the
particular choice of encoding the information in the collective state and
could be overcome by using other realizations of digital memcomputing
machines and using error-correcting codes. For example in (*8*
<http://advances.sciencemag.org/content/1/6/e1500031.full#ref-8>), two of
the authors (F.T. and M.D.) proposed a different way to encode a quadratic
information overhead in a network of memristors that is not subject to this
energy bound."

Analog Computers could be used to do fast approximations but there is a
cost to getting the noise out. Noise would have meaning if you could
understand it and one might be able to argue that the noise in their
computer is a form of np combinatorial explosion. In some ways it
is similar to the problem I mentioned to Steve. My recollection is that
there is a cost to using logarithms and while you could find a way to
denote the significant digits of a transformation from logarithm form
(exponent of some base) to the number it represents the cost to do that for
chain calculations would be too great to make it practical. (Either it
would take too many computations to evaluate the result or the precision of
the calculation would deteriorate.)

I was never very interested in stigmergy until now but I always felt that
stigmergy always had something to do with a greater environment. It makes
sense to say that there are more simple (or perhaps more structured)
environments like the 'environment' of a mathematical problem but I always
felt that some excessive simplicity would obscure the potential
significance of stigmergy. But perhaps the environment of a mathematical
problem is actually so complicated that it makes perfect sense to consider
a mathematical solver to be a form of stigmergy. But then any function that
made changes that a subsequent function acted on could be considered a
stigermegy event of this sort.

Jim Bromer

On Mon, Jul 6, 2015 at 6:47 PM, Piaget Modeler <[email protected]>
wrote:

> How does memcomputing differ from stigmergy?
>
> http://phys.org/news/2015-07-memcomputer-prototype.html
> <http://phys.org/news/2015-07-memcomputer-prototype.htmlhttp://advances.sciencemag.org/content/1/6/e1500031.full>
>
> http://advances.sciencemag.org/content/1/6/e1500031.full
> <http://phys.org/news/2015-07-memcomputer-prototype.htmlhttp://advances.sciencemag.org/content/1/6/e1500031.full>
>
> https://en.wikipedia.org/wiki/Stigmergy
>
> Kindly advise.
>
> ~PM
>
>
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