Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparing Model Selection and Regularization Approaches to Variable
  Selection in Model-Based Clustering   We compare two major approaches to variable selection in clustering: model
selection and regularization. Based on previous results, we select the method
of Maugis et al. (2009b), which modified the method of Raftery and Dean (2006),
as a current state of the art model selection method. We select the method of
Witten and Tibshirani (2010) as a current state of the art regularization
method. We compared the methods by simulation in terms of their accuracy in
both classification and variable selection. In the first simulation experiment
all the variables were conditionally independent given cluster membership. We
found that variable selection (of either kind) yielded substantial gains in
classification accuracy when the clusters were well separated, but few gains
when the clusters were close together. We found that the two variable selection
methods had comparable classification accuracy, but that the model selection
approach had substantially better accuracy in selecting variables. In our
second simulation experiment, there were correlations among the variables given
the cluster memberships. We found that the model selection approach was
substantially more accurate in terms of both classification and variable
selection than the regularization approach, and that both gave more accurate
classifications than $K$-means without variable selection.

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The categories of this paper are: alg-geom
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org