Are there going to be a lot of deletions from the set? Or mostly insertions?

If it's mostly insertions (or if it's just a static data structure that
stays the same once built) then I think I can help.

On Sat, Jun 26, 2010 at 9:01 AM, Nicolas Oury <nicolas.o...@gmail.com>wrote:

> Dear all,
>
> for a project, I need a data structure to represent finite distribution,
> that is a set of elements, each of which having a mass in the set, and two
> functions:
>
> - total-mass : the sum of the masses of each element
> - draw : return an element with a probability proportional to its mass
>
> I currently use the simple idea : a Persistent Hash Map from elt to mass:
> - the total-mass is the reduce of (+ . second)
> - drawing is choosing a random-number between 0 and the total-mass and
> looping through the seq, to look for the corresponding element.
>
> Both operation are linear in the number of elements. This is a problem,
> because these sets tend to be quite big in my project.
>
> I think that if I used a HashTrie with total-mass cached in each node,
> total-mass would be in constant time and draw in log time.
>
> So here is my question : does anyone has, for example for the "clojure in
> clojure" project, a sketch of an implementation of PersistentHashMap
> in clojure itself? (I would be happy to contribute, if it needs more work).
> Or has anyone a better idea that mine to have drawable sets?
>
> Thanks for your help,
>
> Best regards,
>
> Nicolas.
>
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