AIXI is a purely theoretic construct, requiring infinite computational resources

AIXItl is a version that could be implemented in principle, but not in
practice due to truly insane computational resource requirements

Whether the line of thinking and body of theory underlying these
things can be useful for inspiring more practical AGI designs, is a
matter of opinion and intuition, at this point...

-- Ben G

On Sun, Nov 30, 2008 at 10:58 AM, Philip Hunt <[EMAIL PROTECTED]> wrote:
> 2008/11/29 Matt Mahoney <[EMAIL PROTECTED]>:
>>
>> The general problem of detecting overfitting is not computable. The 
>> principle according to Occam's Razor, formalized and proven by Hutter's AIXI 
>> model, is to choose the shortest program (simplest hypothesis) that 
>> generates the data. Overfitting is the case of choosing a program that is 
>> too large.
>
>
> Can someone explain AIXI to me? My understanding is that you've got
> some black-box process emitting output, and you generate all possible
> programs that emit the same output, then choose the shortest one. You
> then run this program and its subsequent output is what you predict
> the black-box process will do. This has the minor drawback, of course,
> that it requires infinite processing power and is therefore slightly
> impractical.
>
> I've read Hutter's paper "Universal algorithmic intelligence, A
> mathematical top->down approach" which amusingly describes itself as
> "a gentle introduction to the AIXI model".
>
> Hutter also describes AIXItl of computation time Ord(t*2^L) where I
> assume L is the length of the program and I'm not sure what t is. Is
> AIXItl something that could be practically written or is it purely a
> theoretical construct?
>
> In short, is there something to AIXI or is it something I can safely ignore?
>
> --
> Philip Hunt, <[EMAIL PROTECTED]>
> Please avoid sending me Word or PowerPoint attachments.
> See http://www.gnu.org/philosophy/no-word-attachments.html
>
>
> -------------------------------------------
> agi
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-- 
Ben Goertzel, PhD
CEO, Novamente LLC and Biomind LLC
Director of Research, SIAI
[EMAIL PROTECTED]

"I intend to live forever, or die trying."
-- Groucho Marx


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agi
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