Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: f-Divergence for convex bodies   We introduce f-divergence, a concept from information theory and statistics,
for convex bodies in R^n. We prove that f-divergences are SL(n) invariant
valuations and we establish an affine isoperimetric inequality for these
quantities. We show that generalized affine surface area and in particular the
L_p affine surface area from the L_p Brunn Minkowski theory are special cases
of f-divergences.

9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
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The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org