The class asked for more detail on using AIC to evaluate clustering solutions. Here are a couple of references that we'll cover regarding AIC.
Here are lecture notes from a class at Univ of Iowa. We'll follow this derivation.
ms_lec_2_ho.pdf
Here's a short paper that describes a correction to AIC when the data set is small.
aic_reg.pdf
This paper is as close as I could get to Akaike's original paper describing the technique.
10.1.1.55.7181.pdf
Here's a relatively recent survey-ish sort of paper with good references for those who need more. This paper also has comparison with BIC (Bayesian Information Criterion)
Burnham_and_Anderson_2004_Multimodel_Inference.pdf
This paper does a comparison of AIC with BIC in the context of mixed model regression.
BestRegression.doc
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