Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large Margin Nearest Neighbor Classification using Curved Mahalanobis
  Distances   We consider the supervised classification problem of machine learning in
Cayley-Klein projective geometries: We show how to learn a curved Mahalanobis
metric distance corresponding to either the hyperbolic geometry or the elliptic
geometry using the Large Margin Nearest Neighbor (LMNN) framework. We report on
our experimental results, and further consider the case of learning a mixed
curved Mahalanobis distance. Besides, we show that the Cayley-Klein Voronoi
diagrams are affine, and can be built from an equivalent (clipped) power
diagrams, and that Cayley-Klein balls have Mahalanobis shapes with displaced
centers.

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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc