Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Filtrated Common Functional Principal Components for Multivariate
  Functional data   Local field potentials (LFPs) are signals that measure electrical activity in
localized cortical regions from implanted tetrodes in the human or animal
brain. The LFP signals are curves observed at multiple tetrodes which are
implanted across a patch on the surface of the cortex. Hence, they can be
treated as multi-group functional data, where the trajectories collected across
temporal epochs from one tetrode are viewed as a group of functions. In many
cases, multi-tetrode LFP trajectories contain both global variation patterns
(which are shared in common to all groups, due to signal synchrony) and
isolated variation patterns (common only to a small subset of groups), and such
structure is very informative to the analysis of such data. Therefore, one goal
in this paper is to develop an efficient procedure that is able to capture and
quantify both global and isolated features. We propose a novel tree-structured
functional principal components (filt-fPC) analysis through finite-dimensional
functional representation - specifically via filtration. A major advantage of
the proposed filt-fPC method is the ability to extract the components that are
common to multiple groups (or tetrodes) in a flexible "multi-resolution" manner
and simultaneously preserve the idiosyncratic individual components of
different tetrodes. The proposed filt-fPC approach is highly data-driven and no
"ground-truth" model pre-specification is needed, making it a suitable approach
for analyzing multi-group functional data that is complex. In addition, the
filt-fPC method is able to produce a parsimonious, interpretable, and efficient
low dimensional representation of multi-group functional data with orthonormal
basis functions. Here, the proposed filt-fPCA method is employed to study the
impact of a shock (induced stroke) on the synchrony structure of the rat brain.

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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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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: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an