Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geodesic of the Quotient-Affine Metrics on Full-Rank Correlation
  Matrices   Correlation matrices are used in many domains of neurosciences such as fMRI,
EEG, MEG. However, statistical analyses often rely on embeddings into a
Euclidean space or into Symmetric Positive Definite matrices which do not
provide intrinsic tools. The quotient-affine metric was recently introduced as
the quotient of the affine-invariant metric on SPD matrices by the action of
diagonal matrices. In this work, we provide most of the fundamental Riemannian
operations of the quotient-affine metric: the expression of the metric itself,
the geodesics with initial tangent vector, the Levi-Civita connection and the
curvature.

31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: econ
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys