Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-sample estimation of centered log-ratio matrix in microbiome
  studies   In microbiome studies, one of the ways of studying bacterial abundances is to
estimate bacterial composition based on the sequencing read counts. Various
transformations are then applied to such compositional data for downstream
statistical analysis, among which the centered log-ratio (clr) transformation
is most commonly used.
  Due to limited sequencing depth and DNA dropouts, many rare bacterial taxa
might not be captured in the final sequencing reads, which results in many zero
counts. Naive composition estimation using count normalization leads to many
zero proportions, which makes clr transformation infeasible. This paper
proposes a multi-sample approach to estimation of the clr matrix directly in
order to borrow information across samples and across species. Empirical
results from real datasets suggest that the clr matrix over multiple samples is
approximately low rank, which motivates a regularized maximum likelihood
estimation with a nuclear norm penalty. An efficient optimization algorithm
using the generalized accelerated proximal gradient is developed. Theoretical
upper bounds of the estimation errors and of its corresponding singular
subspace errors are established. Simulation studies demonstrate that the
proposed estimator outperforms the naive estimators. The method is analyzed on
Gut Microbiome dataset and the American Gut project.

21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th