Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Horseshoe mixture model for Bayesian screening with an application to
  light sheet fluorescence microscopy in brain imaging   Most classical screening methods partition the units (e.g., brain regions)
into two classes: significant and non-significant. In our context, some binary
grouping methods lead to overly simplistic discoveries by filtering out weak
but important signals, that could be adulterated by the noise present in the
data. To overcome this limitation, we introduce a new Bayesian approach that
can classify the brain regions into several tiers with varying degrees of
relevance. Our approach is based on a combination of shrinkage priors - widely
used in regression and multiple hypothesis testing problems - and mixture
models - commonly used in model-based clustering. In contrast to the existing
regularizing prior distributions, which either use the spike-and-slab prior or
continuous scale mixtures, our class of priors is based on a discrete mixture
of continuous scale mixtures and As a result, our approach provides a more
general setting for Bayesian sparse estimation, drastically reduces the number
of shrinkage parameters needed, and creates a framework for sharing information
across units of interest. This approach leads to more biologically meaningful
and interpretable results in our brain imaging problem, allowing the
discrimination between active and inactive regions, while ranking the
discoveries into clusters representing tiers of similar importance.

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The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph