Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High-Dimensional Functional Mixed-effect Model for Bilevel Repeated
  Measurements   The bilevel functional data under consideration has two sources of repeated
measurements. One is to densely and repeatedly measure a variable from each
subject at a series of regular time/spatial points, which is named as
functional data. The other is to repeatedly collect one functional data at each
of the multiple visits. Compared to the well-established single-level
functional data analysis approaches, those that are related to high-dimensional
bilevel functional data are limited. In this article, we propose a
high-dimensional functional mixed-effect model (HDFMM) to analyze the
association between the bilevel functional response and a large scale of scalar
predictors. We utilize B-splines to smooth and estimate the
infinite-dimensional functional coefficient, a sandwich smoother to estimate
the covariance function and integrate the estimation of covariance-related
parameters together with all regression parameters into one framework through a
fast updating MCMC procedure. We demonstrate that the performance of the HDFMM
method is promising under various simulation studies and a real data analysis.
As an extension of the well-established linear mixed model, the HDFMM model
extends the response from repeatedly measured scalars to repeatedly measured
functional data/curves, while maintaining the ability to account for the
relatedness among samples and control for confounding factors.

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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga