Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Representation Theory Perspective on Simultaneous Alignment and
  Classification   One of the difficulties in 3D reconstruction of molecules from images in
single particle Cryo-Electron Microscopy (Cryo-EM), in addition to high levels
of noise and unknown image orientations, is heterogeneity in samples: in many
cases, the samples contain a mixture of molecules, or multiple conformations of
one molecule. Many algorithms for the reconstruction of molecules from images
in heterogeneous Cryo-EM experiments are based on iterative approximations of
the molecules in a non-convex optimization that is prone to reaching suboptimal
local minima. Other algorithms require an alignment in order to perform
classification, or vice versa. The recently introduced Non-Unique Games
framework provides a representation theoretic approach to studying problems of
alignment over compact groups, and offers convex relaxations for alignment
problems which are formulated as semidefinite programs (SDPs) with certificates
of global optimality under certain circumstances. In this manuscript, we
propose to extend Non-Unique Games to the problem of simultaneous alignment and
classification with the goal of simultaneously classifying Cryo-EM images and
aligning them within their respective classes. Our proposed approach can also
be extended to the case of continuous heterogeneity.

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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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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: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex