> Converting to/from dP/dt is something you do at the inputs and outputs.

Are you talking about something like post-synaptic potential integration within 
dendrites?




From: Steve Richfield 
Sent: Wednesday, August 29, 2012 7:42 PM
To: AGI 
Subject: Re: [agi] LM741


Ben,


On Wed, Aug 29, 2012 at 12:31 PM, Ben Goertzel <[email protected]> wrote:



    Picking one particular tiny illustrative detail of this - my realization 
that neurons MUST communicate derivatives like dP/dt rather than straight 
probabilities, to be capable of temporal learning without horrendous 
workarounds. I thoroughly explained it on this forum, and no one objected to 
any of it, yet it has changed nothing.


  To those of us not working on neural net models, this sort of insight is 
kinda irrelevant...

I'm not so sure. Don't you use Bayesian methods to compute probabilities, that 
change with circumstances? If so, by converting the inputs to dP/dt notation, 
computation throughout remains in dP/dt. At the outputs, you will need to 
integrate to get back to P. The net result is that you no longer need past 
memory for temporal learning - all without a single neuron-equivalent in your 
code.



  But still, this is an interesting observation.


  It reminds me of work studying neural population coding using Fisher 
information


  http://prl.aps.org/abstract/PRL/v97/i9/e098102


  [Fisher information being an average of the second derivative of a 
probability density, it's kinda like the derivatives you reference...]


  I'm curious: How would you modify, for instance, the Izhikevich neuron 
equations

I wouldn't. This is SO simple, it is almost hard to even see it. Converting 
to/from dP/dt is something you do at the inputs and outputs. Within the 
NN/Bayesian "network" computations remain the SAME, only now things become 
naturally capable of temporal learning.

Of course, with ANY such "simple" change you MUST lose SOMETHING, and here is 
is: No longer will the network learn based on merely the simultaneous presence 
(or absence) of things, where the inputs don't change (nearly) simultaneously. 
For most things, this is a MAJOR improvement, but keep your eyes open for this 
"loss".



  http://www.izhikevich.org/publications/spikes.htm


  in accordance with your idea?  (I reference this just because it's the neuron 
model I've worked with  most recently.)

All the evidence I have seen is that spiking neurons are an "implementation 
detail" to facilitate carrying information over long axons. The spikes 
themselves are relatively uninteresting beyond the information contained in 
their separations. Some bandwidth is lost to conversion to spikes, but not as 
much as would otherwise be lost in the long axons.

There are MANY short non-spiking neurons in our brains, not counting the glial 
cells. The spiking neurons are the ones with the long axons. If you ever get a 
chance to look closely at an exposed brain, you can see what looks like tiny 
glistening fibers. These are bundles of long axons.



  Regarding your idea for a cross-disciplinary math/AI/neuro research institute 
-- I wish I had the power to get something like that formed.

NO ONE has this power. THAT is why it will take a group to push this through. 
The trick would be to get 2 or 3 leaders from each of the 3 disciplines, and 
train everyone to tag-team discussions with potential hosting countries. The 
idea would NOT be to usurp anything in a hosting country, but rather to support 
their efforts as part of the overall project.

It might be easiest to simultaneously sell this to both the technology and the 
health people, as new cures will doubtless come from such an effort. The 
presence of the scanning UV fluorescence microscope (or other similarly capable 
technology) would greatly facilitate this. Right now, the health people have 
more money.


  Maybe I'll be able to do it in a few years time, in HK or China or Singapore, 
we'll see...

I wasn't really expecting a return message to report of China  8-:D>

It would probably take a year or so just to recruit the people and get a robust 
plan together, to even start to "shop it".

I suggest that you start looking for the people who would be the nucleus of 
such a project. You should probably recruit about twice the number you will 
need, as many will fall by the wayside rather than putting in the work needed 
to forge a good plan. When you finally have a group and a plan, get everyone to 
start sending it to the agencies who might fund at least part of such a thing.

Alternatively (the easier way for you) send people you think might be a useful 
part of such a project to me, and I'll coordinate the forging of a plan for 
prospective funding.

[Hey you nerds, wanna go work on a REALLY BIG project far away?]

Note that like fresh fish, THIS IS PERISHABLE. In a few years, unless my sense 
of history is WAY off (don't bet on it), AGI will become every bit as much of 
an anathema as perceptrons became. Note that "perceptron" isn't even in my 
spell checker. Creating such a group will become MORE difficult with time, 
because funding agencies will no longer see the pot of AGI gold at the end of 
this rainbow, so there will be less money available.

IMHO the one BIG plus in AGI is that it has the potential to attract money - if 
only the feasibility issues can be addressed. The envisioned project would seem 
to satisfy at least some of the feasibility concerns. From a funding POV, AGI 
and the envisioned project are MUCH stronger together than they could ever be 
separately.


Steve


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