On Sat, Nov 23, 2013 at 12:25 AM, Scott Purdy <sc...@numenta.org> wrote:

>
> For some reason having trouble wrapping my head around that but I believe
> that all makes sense. I think you are saying that if your input space was
> varied enough that you saturate the SP, then the number of patterns you can
> represent is inversely proportional to the noise tolerance. The caveat to
> this is that even if you end up with a different SP representation because
> of a small amount of noise, the representation will still be very
> semantically similar to the previous. In fact, you most likely only have
> one or two columns that are different so the higher levels will see a very
> similar pattern.
>
Yes, I wouldn't say it better ;) Thanks for rewording to make sense. (I was
just talking noise at the output layer, where 10% noise would make 100 from
a 1000 bits, that could easily change meaning if you're running on 20 ON
bits).

Btw, could this be an argument for reconstruction against classification?
When I mess with 10% of the SDR, you'll train on a wrong pattern, if we use
"back-propagation" the random-bits will have low permanences, so will
reduce on the way down.


>
>>
>>  PS:
>> Is there a (lower bound) limit on the number of columns in SP? So would a
>> 20 col SP work? That way, I could achieve the (20 choose 3) and reach the
>> state of info-full SP.
>>
>
> The theory relies on large numbers. Subutai's CLA quiz covers it very
> thoroughly. In your 20 choose 3 example, you lose fault
> tolerance/subsampling at higher levels, the ability to represent many
> different patterns (only 1140), and the ability to represent many
> simultaneous patterns.
>
I know, the fault tolerance would be a problem. Lost ability to represent
huge num. of patterns is what I want. Otherwise it's out of reach for
anybody to experiment with a SP in nearly saturated state (input pattern
wise).




-- 
Marek Otahal :o)
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