Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High Dimensional Classification for Spatially Dependent Data with
  Application to Neuroimaging   Discriminating patients with Alzheimer's disease (AD) from healthy subjects
is a crucial task in the research of Alzheimer's disease. The task can be
potentially achieved by linear discriminant analysis (LDA), which is one of the
most classical and popular classification techniques. However, the
classification problem becomes challenging for LDA because of the
high-dimensionally and the spatial dependency of the brain imaging data. To
address the challenges, researchers have proposed various ways to generalize
LDA into high-dimensional context in recent years. However, these existing
methods did not reach any consensus on how to incorporate spatially dependent
structure. In light of the current needs and limitations, we propose a new
classification method, named as Penalized Maximum Likelihood Estimation LDA
(PMLE-LDA). The proposed method uses $Mat\acute{e}rn$ covariance function to
describe the spatial correlation of brain regions. Additionally, PMLE is
designed to model the sparsity of high-dimensional features. The spatial
location information is used to address the singularity of the covariance.
Tapering technique is introduced to reduce computational burden. We show in
theory that the proposed method can not only provide consistent results of
parameter estimation and feature selection, but also generate an asymptotically
optimal classifier driven by high dimensional data with specific spatially
dependent structure. Finally, the method is validated through simulations and
an application into ADNI data for classifying Alzheimer's patients.

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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc