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Re: Noise is your friend



Olivier Devillers a écrit :
>
>
> Just to let you know
>
>
> I  add some details in the computations  (but a lot of things has to 
> be polished)
>
> I justified the point raised by Xavier (conditioning of the size of 
> the big region by the fact that the small ones are non empty)
>
> I made some computation in higher dimension (where the constraint on 
> delat in terms of n are stronger)
>
>
> I do nat have a clean explanation for the fact that for delta =1 we 
> get a better result that
> for points random in a sphere. (even in 2d)
> Either - we miss some constrain on delta forbiding to take delta = 1
>           - there is a mistake somewhere
>           - we are right : the convex hull size is first decreasing 
> then increasing when delta increase ?
explanation added

+ experiments

Attachment: convex-hull.pdf
Description: convex-hull.pdf