Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-asymptotic Confidence Sets for Extrinsic Means on Spheres and
  Projective Spaces   Confidence sets from i.i.d. data are constructed for the extrinsic mean of a
probabilty measure P on spheres, real projective spaces, and complex projective
spaces, as well as Grassmann manifolds, with the latter three embedded by the
Veronese-Whitney embedding. When the data are sufficiently concentrated, these
are projections of a ball around the corresponding Euclidean sample mean.
Furthermore, these confidence sets are rate-optimal. The usefulness of this
approach is illustrated for projective shape data.

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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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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: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex