Ed Porter wrote:
Richard,
Any ideas on what do such 10^5 neuron cortical columns represent?  For
example, how do they relate to the multiple topological maps in the brain?
They all represent just one concept, or do they represent families of
related concepts?  Or perhaps do the neurons of each maxi-column act in
unison as one cell assemblies, so that subsets of the roughly one million of
them can be selected to create unique coding for any one of millions or
billions of episodic or pattern memories?

Is there relatively clear demarcation between such columns (i.e., a
surrounding surface were the number of interconnects are much lower than
similar surfaces within the column), or is it such that any given location
on the surface of the cortex the neurons directly below it would be
connected to the nearest 10^5 neurons?

These are big questions.

I think it is fair to say that nobody knows what they represent or do.

The columns are all over the cortex, so in some places they will be in regions where we know there are topological maps. Beyond that, you just have to remember that there all all kinds of different things going on in these different areas, but the columnar organization seems to be everywhere (although with significant column differences in different locations... hence some of the disputes about what exactly is a "column").

The units do not act in unison (they are not synchronized).

Each columns is marked by strong connectivity within it, with less significant numbers of connections to surrounding columns. So it is not the case that connectivity is homogeneous across the cortex.

I have a hypothesis about what they do, but it is still tentative. I believe that each one transiently represents a single concept ("atom" in my terminology), with each column having a large repertoire of atoms stored in a passive state, but only one that (at any moment in time) is in the active state.

Also, I believe that the columns do several other things associated with that basic feature.

FWIW, in the recent neuroscience paper I coauthored, I use this tentative model to give an account of several unrelated pieces of data from brain imaging studies. One of these is, I believe, quite significant, but I am working on a more detailed examination of that one: it might be that I can actually predict the results of a study that Koch et al made (not sure yet, but it looks hopeful).

There:  quick brain dump.



Richard Loosemore.


Ed Porter

-----Original Message-----
From: Richard Loosemore [mailto:[EMAIL PROTECTED] Sent: Wednesday, November 28, 2007 3:25 PM
To: agi@v2.listbox.com
Subject: Cortical Columns [WAS Re: [agi] Funding AGI research]

Benjamin Goertzel wrote:
ED>>>>>I must admit, I have never heard cortical column described as
containing 10^5 neurons.  The figure I have commonly seen is 10^2 neurons
for a cortical column, although my understanding is that the actual
number
could be either less or more.  I guess the 10^5 figure would relate to
so-called hypercolumns.
The term "cortical column" is vague

http://en.wikipedia.org/wiki/Cortical_column

There are minicolumns (around 100 neurons each) and hypercolumns
(around 100 minicolumns each).  Both are called columns..

Ben,

It is true that there is enormous ambiguity and confusion about the definition.

However, a number of people believe that the best compromise values for column size and number are 10,000 neurons per column and 1 million columns.

I came to this conclusion after looking into it for my own purposes, then was gratified that Henry Markham quoted the same numbers:

http://video.google.com/videoplay?docid=-2874207418572601262
Henry Markram, EPFL/BlueBrain: The Emergence of Intelligence in the
Neocortical Microcircuit.



Richard Loosemore

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