Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical Properties of Convex Clustering   In this manuscript, we study the statistical properties of convex clustering.
We establish that convex clustering is closely related to single linkage
hierarchical clustering and $k$-means clustering. In addition, we derive the
range of tuning parameter for convex clustering that yields a non-trivial
solution. We also provide an unbiased estimate of the degrees of freedom, and
provide a finite sample bound for the prediction error for convex clustering.
We compare convex clustering to some traditional clustering methods in
simulation studies.

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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph