Hi Antoine

Initial message from Yohan was not sufficient to determine whether Interval Analysis could do it or not.

As I said in my previous answer - IntLab is for determining mathematical rounding errors and other errors of operation ... for example if you make almost division-by-zero, then you have a big gap of potentially correct solutions. This is what IntLab is for, robust mathematics, not curve fitting or analyzing measurement data.

Best regards,
Claus

On 2/21/2014 16:06, Antoine Monmayrant wrote:
On 02/19/2014 08:55 PM, Samuel Gougeon wrote:
Le 19/02/2014 17:32, Claus Futtrup a écrit :
Hi Yohan

I see that I'm not alone wondering a bit about what you'd like to do.

A mathematically solid and readily available technique to corner mathematical rounding errors and other errors of operation is called Interval Analysis.

For matlab there's INTLAB. See:
http://www.ti3.tu-harburg.de/~rump/intlab/

I'm sure it could be converted to Scilab without big trouble. Maybe I even have an old one laying around (??) somewhere ... maybe.
Yes indeed, here : http://www-sop.inria.fr/coprin/logiciels/Int4Sci/

The thing is I don't see how to use these tools to do what Yoahn wants to do. I think I have the same kind of issues than Yoahn (I've done a fit, how good is it as compare to another one, and what kind of "confidence" or "error bar" should I associate to each parameter). Could you tell us how we can use interval analysis to adress this (just curious, it's a bit far from my field of expertise)?

Cheers,

Antoine





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