Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Feature Screening in Large Scale Cluster Analysis   We propose a novel methodology for feature screening in clustering massive
datasets, in which both the number of features and the number of observations
can potentially be very large. Taking advantage of a fusion penalization based
convex clustering criterion, we propose a very fast screening procedure that
efficiently discards non-informative features by first computing a clustering
score corresponding to the clustering tree constructed for each feature, and
then thresholding the resulting values. We provide theoretical support for our
approach by establishing uniform non-asymptotic bounds on the clustering scores
of the "noise" features. These bounds imply perfect screening of
non-informative features with high probability and are derived via careful
analysis of the empirical processes corresponding to the clustering trees that
are constructed for each of the features by the associated clustering
procedure. Through extensive simulation experiments we compare the performance
of our proposed method with other screening approaches, popularly used in
cluster analysis, and obtain encouraging results. We demonstrate empirically
that our method is applicable to cluster analysis of big datasets arising in
single-cell gene expression studies.

33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex