Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asteroid Taxonomy from Cluster Analysis of Spectrometry and Albedo   The classification of the minor bodies of the Solar System based on
observables has been continuously developed and iterated over the past 40
years. While prior iterations followed either the availability of large
observational campaigns or new instrumental capabilities opening novel
observational dimensions, we see the opportunity to improve primarily upon the
established methodology. We develop an iteration of the asteroid taxonomy which
allows for classification of partial and complete observations, i.e. visible,
near-infrared, and visible-near-infrared spectrometry, and which re-introduces
the visual albedo into the classification observables. The resulting class
assignments are given probabilistically, enabling to quantify the uncertainty
of a classification. We build the taxonomy based on 2983 observations of 2125
unique asteroids, representing an almost tenfold increase of sample size
compared with the previous taxonomy. The asteroid classes are identified in a
lower-dimensional representation of the observations using a Mixture of Common
Factor Analyzers model. We identify 17 classes split into the three complexes
C, M, and S, including the novel Z-class for extremely-red objects in the Main
Belt. The visual albedo information resolves the spectral degeneracy of the
X-complex and establishes the P-class as part of the C-complex. We present a
classification tool which computes probabilistic class assignments within this
taxonomic scheme from asteroid observations, intrinsically accounting for
degeneracies between classes based on the observed wavelength region. The
ability to classify partial observations and the re-introduction of the visual
albedo into the classification provide a taxonomy which is well suited for the
current and future datasets of asteroid observations, in particular provided by
Gaia, the MITHNEOS-, and the SPHEREx surveys.

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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th