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From: bs@linus.UUCP (Robert D. Silverman)
Newsgroups: net.math
Subject: Re: Neural Net COmputing
Message-ID: <55@linus.UUCP>
Date: Mon, 18-Nov-85 10:57:47 EST
Article-I.D.: linus.55
Posted: Mon Nov 18 10:57:47 1985
Date-Received: Wed, 20-Nov-85 20:58:04 EST
References: <663@lasspvax.UUCP> <17@sbcs.UUCP>
Organization: The MITRE Corporation, Bedford, MA
Lines: 36

> > The work I heard about is being done at Bell Labs by Larry Jaeckel's
> > group. The idea is fairly simple: you take N "neurons", connect each to
> > all the others, and let the firing rate of a given neuron depend on
> > the stimuli on its inputs, which can be excitatory or inhibitory. 
> 
> Sounds an awful lot like perceptrons (Marvin Minsky, MIT, early '70s).  But
> as far as I remember, Minsky's conclusion was that the simple perceptron
> model wasn't very powerful at all.  Does anyone have more details on
> Jaeckel's work?
> -- 
> Saumya Debray
> SUNY at Stony Brook
> 
> 	uucp: {allegra, hocsd, philabs, ogcvax} !sbcs!debray
> 	arpa: debray%suny-sb.csnet@csnet-relay.arpa
> 	CSNet: debray@sbcs.csnet

The math content of this group has become low to negative recently. Can
we please have less of this sophistry and more math??? Most of the discussion
about turing machines vs. humans belongs in net.ai or net.philosophy. Also,
much of the content of these discussions leaves me wondering whether their
writers possess any natural intelligence. It certainly sounds as if many
people simply like to shoot their mouths off concerning a subject which
they haven't studied. This is not a newsgroup for speculation.

Now for an interesting variational problem:

A particle travels along a continuous path from (-a,a) to (a,a) such that
the magnitude of its velocity at any given point on that path is k/s where
s is the current distance to the origin. [k and a are fixed].

Question: What is the path for minimal travel time?  Don't just present
the Euler equation. You must solve it as well.
 
Bob Silverman   (they call me Mr. 9)