Dear Estevan:

On Fri, 26 Jul 2002, Estevam Rafael Hruschka Junior wrote:

> Dear all,
>
>
> when learning a BN from data, some algorithms (such as K2) are influenced by
> the variable order. And if this initial order is not the most appropriated,
> the results may be prejudiced. Trying to find this best order may be an
> exponential problem (when it's done by exhaustive search). One way to
> minimize this problem may be to prune the "less" significant variables. I've
> already implemented some initial tests and they showed that it's worthwhile
> to look for the best order when trying to improve the learning results.
>
>
> So I was wondering if there is any defined heuristic to deal with this
> problem.

CB uses a constraint-based algorithm to establish a partial or total order
on the variables, before using a Bayesian score.  This seems to work very
well in practice.  See the following two references:

@inProceedings{Singh93,
   author =    {Singh, Moninder and Valtorta, Marco},
   title =     {A New Algorithm for the Construction of {B}ayesian Network
Struc
tures from Data},
   booktitle = {Proceedings of the Ninth Annual Conference on Uncertainty
in Art
ificial Intelligence (UAI-93)},
   year =      1993,
   month =     {July},
   address =   {Washington DC},
   pages =     "259--264",
}
@article{Singh95,
        author =    {Singh, Moninder and Valtorta, Marco},
        title = {Construction of Bayesian Belief Networks from Data: a
Brief
        Survey and an Efficient Algorithm},
        journal = {International Journal of Approximate Reasoning},
        volume = 12,
        number = 2,
        pages = "111-131",
        year = 1995,
        month = {February},
}




>
>
> Thank you so much for your attention.
>
>
>
> Estevam.
>
> - -_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-_-
> Estevam Rafael Hruschka Junior
>
> [EMAIL PROTECTED]
> Curitiba PR. - Brazil.
>
>

Marco Valtorta                  Associate Professor
Department of Computer Science and Engineering
University of South Carolina
Columbia, SC 29208, U.S.A.      http://www.cse.sc.edu/~mgv/
803.777-4641  fax:-3767         [EMAIL PROTECTED]
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"Probability is not about numbers.  It is about the structure of reasoning."
                                --Glenn Shafer
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