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Hi,

I have a computed numerical bayesian posterior distribution (sampled 
with MCMC), which consists of 10^7 points in 10-d space. The 
distribution is fairly multimodal. I have been thinking about using the 
k-means algorithm for  extracting the point density peaks from this 
data. There is a nice variant called G-means [1], which looks 
attractive. I have also considered using SOM, but it seems to lack 
proper mathematical justification for this task.

Are there any other alternatives? What do people usually use to model a 
  sampled multimodal posterior distribution?

Hamerly et al., "Learning the k in k-means", 
http://www.cs.ucsd.edu/Dienst/UI/2.0/Describe/ncstrl.ucsd_cse/CS2002-0716

juha

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