Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eigen selection in spectral clustering: a theory guided practice   Based on a Gaussian mixture type model , we derive an eigen selection
procedure that improves the usual spectral clustering in high-dimensional
settings. Concretely, we derive the asymptotic expansion of the spiked
eigenvalues under eigenvalue multiplicity and eigenvalue ratio concentration
results, giving rise to the first theory-backed eigen selection procedure in
spectral clustering. The resulting eigen-selected spectral clustering (ESSC)
algorithm enjoys better stability and compares favorably against canonical
alternatives. We demonstrate the advantages of ESSC using extensive simulation
and multiple real data studies.

20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph