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open-connectome-classes / StatConn-Spring-2015-Info

introductory material
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GMMs and SBMs #92

Open mblohr opened 9 years ago

mblohr commented 9 years ago

How do Gaussian mixture models play a part in SBMs?

jtmatterer commented 9 years ago

I think the idea was to motivate the SBM with mixture models.Suppose you had to generate a sample from each model:

Gaussian Mixture Model: For each sample point, assign it to Gaussian distribution according to the mixing distribution, then generate one sample from that specific Gaussian distribution.

SBM: For each vertex, assign it to a block according to the block membership distribution rho. Then choose edges ...

The analogy breaks down for the second half, because the samples from the GMM are independent, but the edges in a SBM are not.