>
> We do NOT know what mathematics are involved in the computations.

Wow. Hodgkin, Huxley, Nagumo, Izhikevich and the others must, then, be
totally delusional. The more I know.

[..] but we really don't know how they work and which of the observed
> features are actually important.

Sure, there are still a lot of white spots in our understanding of how
brain works on its different levels. On the other hand, there exists a
massive corpus of academical neuroscience, both empirical and
computational, that *clearly *disagrees with the picture you apparently are
painting here - one where we are nearly clueless about what and how goes on
in our cerebral matter.

/NJ/


On Wed, Aug 29, 2012 at 12:11 AM, Steve Richfield <[email protected]
> wrote:

> Arets,
>
> On Tue, Aug 28, 2012 at 10:00 AM, Arets Paeglis <[email protected]>wrote:
>
>> Are you seriously going to suggest that we still have no idea as to what
>> "neurons are doing"?
>>
>
> Yes.
>
> Most synapses are NOT the simplistic fractional transfer mechanisms used
> in NNs, We have NO idea how neurons learn as fast as they do. We have NO
> idea what guides their self-organization. We do NOT know what mathematics
> are involved in the computations. We have observed some interesting things,
> like some neurons becoming active under particular circumstances, but that
> is about all we now "know".
>
> The equivalent in astronomy: We still think the earth is at the center of
> the universe, that planets orbit in bizarre ways, and that celestial
> spheres make it all work as it does.
>
> Steve
> =================
>
>> On Tue, Aug 28, 2012 at 7:52 PM, Steve Richfield <
>> [email protected]> wrote:
>>
>>> Alan,
>>>
>>> Your discussion fits right in with some of my postings. I have discussed
>>> the equivalent unity gain frequency of neurons (for 741s it is ~1MHz),
>>> negative feedback in the form of variable driven impedance, etc. It appears
>>> that internally, neurons may "compute" about as fast as vacuum tubes, and
>>> NOT at the much slower pulse rates seen at the outputs of spiking neurons.
>>>
>>> However, I fear that we are throwing pearls before swine.
>>>
>>> Also, I wonder if everyone else is missing an essential point. We are
>>> NOT saying "neurons are SO much faster and smarter that we can never
>>> duplicate such function on a human scale", but rather "if we make the
>>> effort to understand what neurons are doing, then we will have some chance
>>> of understanding the problems they are solving, after which we can then
>>> engineer human scale systems without being encumbered by the neuronal
>>> legacy."
>>>
>>> Steve
>>> ===================
>>> On Tue, Aug 28, 2012 at 9:34 AM, Alan Grimes <[email protected]>wrote:
>>>
>>>> om
>>>>
>>>> The elemental unit of an analog computer, akin to an NAND gate, is the
>>>> operational amplifier. The canonical opamp is the LM741, which was
>>>> introduced in 1968 and is still the standard opamp that everyone uses.
>>>> The Japanese have an equivalent part which has pretty much identical
>>>> specs.
>>>>
>>>> Better parts are now available but engineers usually start out with the
>>>> LM741 and chose a different part only if it can't meet their performance
>>>> goals. I'm kinda fond of the Jfet input opamps myself but they can be a
>>>> bit more fragile.
>>>>
>>>> I did some computer simulations of my father's stereo (made in 1974).
>>>> The power amplifiers are basically power opamps made with discreet
>>>> parts.
>>>>
>>>> You think of an amplifier as conveying a signal from input to output. A
>>>> classic tube amplifier does exactly that, sometimes with 6-12 db of
>>>> negative feedback.The creepy thing about the simulation was that the
>>>> signal appeared to disappear in the middle of the circuit, so I had
>>>> trouble even figuring out which wire was even conveying it.
>>>>
>>>> Logically, the signal MUST pass from the collector of Q402 to the base
>>>> of Q410. However the voltage swing at that point is many decimal places
>>>> below the DC voltage at that point.
>>>>
>>>> But that's the thing. The amplifier doesn't amplify signal! The
>>>> difference between the voltages at the input parts, (Q402, non
>>>> inverting, Q404 inverting). is in the microvolts range. (Q406 is
>>>> basically a 2mA CCS with a 20-30 second time delay), so the input signal
>>>> to the amplifier is essentially null.
>>>>
>>>> But the circuit does work. It has a gain defined by R410 and R414.
>>>>
>>>> It is an error amplifier. The brain works in much the same way. Neurons
>>>> don't say much to each other unless there is an error signal. The
>>>> amplifier's output is your imagination and the input signal are your
>>>> sense organs.
>>>>
>>>> Anyway, just a different perspective. =P
>>>>
>>>> --
>>>> E T F
>>>> N H E
>>>> D E D
>>>>
>>>> Powers are not rights.
>>>>
>>>>
>>>>
>>>>
>>>> -------------------------------------------
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>>>
>>>
>>>
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