Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discriminating sample groups with multi-way data   High-dimensional linear classifiers, such as the support vector machine (SVM)
and distance weighted discrimination (DWD), are commonly used in biomedical
research to distinguish groups of subjects based on a large number of features.
However, their use is limited to applications where a single vector of features
is measured for each subject. In practice data are often multi-way, or measured
over multiple dimensions. For example, metabolite abundance may be measured
over multiple regions or tissues, or gene expression may be measured over
multiple time points, for the same subjects. We propose a framework for linear
classification of high-dimensional multi-way data, in which coefficients can be
factorized into weights that are specific to each dimension. More generally,
the coefficients for each measurement in a multi-way dataset are assumed to
have low-rank structure. This framework extends existing classification
techniques, and we have implemented multi-way versions of SVM and DWD. We
describe informative simulation results, and apply multi-way DWD to data for
two very different clinical research studies. The first study uses metabolite
magnetic resonance spectroscopy data over multiple brain regions to compare
patients with and without spinocerebellar ataxia, the second uses publicly
available gene expression time-course data to compare treatment responses for
patients with multiple sclerosis. Our method improves performance and
simplifies interpretation over naive applications of full rank linear
classification to multi-way data. An R package is available at
https://github.com/lockEF/MultiwayClassification .

0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph