[seqfan] Re: Seeking Board's advice again re EULA -- key points of the OEISF Bylaws, Articles & Goals

[Alexander P-sky]

Perhaps the late Ray Solomonoff's Inductive Inference approach could help ?

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

ARP
==============================
On 2/12/11, Simon Plouffe <simon.plouffe at gmail.com> wrote:
> Hello,
>
>  I am compiling a new set of formulas that
> are automatically generated from my set of
> programs and I have 1 idea that could be useful.
>
>  There is a way to get a measure of the validity of
> a conjectural formula, there are 3 pieces of information
> we can use :
>
> 1) The number of known terms in the sequence.
> 2) The length in characters of the sequence.
> 3) The length of the supposed formula.
>
> measure = log(number of terms)*length(sequence)/length(formula).
>
> This gives a number from 0 to ...
>  a value of < 4 is usualy suspect.
> a value of 20 or more says that given the number of terms,
> the length of the formula, this result can be considered quite good,
>
> I am presently re-calculating all the formulas obtained so far and
> the measure is quite precise.
> So I propose to include this result in my list of formulas I have so
> far, for the moment I will REJECT all formulas with a score of less
> than 4 and look carefuly to the ones in between 4 and let's say 20
> or more. The key measure is in fact the ratio between
> length(sequence)/length(formula) the log part is to add a weight
> , if a sequence contains only 6 terms then the confidence is low,
> if the sequence contains 100 + terms then it add to the value
> or score.
>
>  if someone has a suggestion ? a more precise measure or
> score, please let me know,
>
> ps : I took the list of names from a recent post of mr Lebrun, please
> could you forward this mail to other members of the sequence list
> or the editor board ?
>
>  best regards,
>  Simon Plouffe
>
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