Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: intRinsic: an R package for model-based estimation of the intrinsic
  dimension of a dataset   The estimation of the intrinsic dimension of a dataset is a fundamental step
in most dimensionality reduction techniques. This article illustrates
intRinsic, an R package that implements novel state-of-the-art likelihood-based
estimators of the intrinsic dimension of a dataset. In order to make these
novel estimators easily accessible, the package contains a small number of
high-level functions that rely on a broader set of efficient, low-level
routines. Generally speaking, intRinsic encompasses models that fall into two
categories: homogeneous and heterogeneous intrinsic dimension estimators. The
first category contains the TWO-NN model, an estimator derived from the
distributional properties of the ratios of the distances between each data
point and its first two of nearest neighbors. The functions dedicated to this
method carry out inference under both the frequentist and Bayesian frameworks.
In the second category, we find Hidalgo, a Bayesian mixture model, for which an
efficient Gibbs sampler is implemented. After presenting the theoretical
background, we demonstrate the performance of the models on simulated datasets.
This way, we can facilitate the exposition by immediately assessing the
validity of the results. Then, we employ the package to study the intrinsic
dimension of the Alon dataset, obtained from a famous microarray experiment. We
show how the estimation of homogeneous and heterogeneous intrinsic dimensions
allows us to gain valuable insights into the topological structure of a
dataset.

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The categories of this paper are: math
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th