Dear Bob:
On Sat, 8 Apr 2000, Bob Welch wrote:
> > > Is there any algorithms of Bayesian Network to work directly on the
> > > mixture of continuous and categorical variables?
>
> > I suspect that you have already discovered the work by Lauritzen on mixed
> > models, which is implemented in Hugin. (See, e.g., Kristian
> > G. Olesen. "Causal Probabilistic Networks with Both Discrete and
> > Continuous Variables." _IEEE Transactions on PAMI_, 15, 3 (Match 1993),
> > 275-279.) There is some related ongoing work at Aalborg university, so
> > you may want to contact Kristian directly: kgo@cs.auc.dk. (Sorry,
> > Kristian! :-)
>
>
> In their book, Probabilistic Networks and Expert Systems, R. Cowell, A. P.
> Dawid, S. Lauritzen and D. Spiegelhalter discuss the numerical instability
> of the Lauritzen's algorithm for the conditional gaussian or mixture
> networks. A revised algorithm is discussed in a recent paper by Steffan
> Lauritzen and Frank Jensen, "Stable Local Computation with Conditional
> Gaussian Distributions, research report R-99-2014, Dept of Math Sciences,
> Aalborg University.
Good point! Still, there is even more recent work (by Anders Madsen) than
that at Aalborg on conditional Gaussian distributions. My advice to Julie
remains: send an e-mail message to Kristian Olesen.
>
> Bob Welch
>
>
>
Cheers,
Marco
Marco Valtorta, Associate Professor (on sabbatical leave in 1999/2000)
Department of Computer Science mgv@usceast.cs.sc.edu, mgv@cs.auc.dk (March)
University of South Carolina tel.: (1)(803)777-4641 fax: -3767
Columbia, SC 29208, U.S.A. http://www.cs.sc.edu/~mgv/ tlx: 805038 USC
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"Probability is not about numbers. It is about the structure of reasoning."
--Glenn Shafer
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