Re: Biological Neural Nets, ANNs, and Turing Machines
From: Roger L. Bagula (rlbtftn_at_netscape.net)
Date: 07/21/04
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Date: Wed, 21 Jul 2004 22:20:44 GMT
You should try reading
" A New Kind of Science"
by Steven Wolfram
He goes into such problems in detail
as related to cellular automata
( which in turn can behave very much like neural networks).
I think that you can emulate a Turing machine with an Neural network,
but it is very much the dumbing down of a much more complex learning
process.
The point of biological neural networks is that they
find solutions missed by straight Turing logic machines
due to a stochastic effect/chaotic effect.
Genetic algorithms are another modern area where
the attempt is to get at self-organizational effects of biological
systems.
I think maybe Per Bak's later work on sand piles might help your
thought processes to become simpler.
Sina Tootoonian wrote:
> Hello all,
>
> I was wondering if those of you wiser than myself may be able to clear
> up an issue that has been nagging at the back of my mind for some
> time:
>
> Is there any fundamental difference between the types of computation
> that biological neural networks perform and those that a universal
> turing machine can? I.e., if a biological neural net is studied well
> enough, it can be modelled as an ANN, which are run on ordinary PCs,
> therefore, in principle, the entire brain can be programmed in C. Is
> this logic correct or am I missing something here? And I don't mean
> implementation details. I understand that to actually implement any
> such system, the hardware on which the software runs may have to use
> something other than von-Neumann architecture (e.g. Connection
> Machine). I am thinking of issues analogous to what happens in
> deterministic dynamic systems, which can theoretically be predicted as
> accurately as required, but in practice exhibit chaotic behavior.
>
> Any insights would be greatly appreciated.
>
> Cheers!
>
> Sina
-- Respectfully, Roger L. Bagula tftn@earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 : URL : http://home.earthlink.net/~tftn URL : http://victorian.fortunecity.com/carmelita/435/
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