Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A divergence center interpretation of general symmetric Kubo-Ando means,
  and related weighted multivariate operator means   It is well known that special Kubo-Ando operator means admit divergence
center interpretations, moreover, they are also mean squared error estimators
for certain metrics on positive definite operators. In this paper we give a
divergence center interpretation for every symmetric Kubo-Ando mean. This
characterization of the symmetric means naturally leads to a definition of
weighted and multivariate versions of a large class of symmetric Kubo-Ando
means. We study elementary properties of these weighted multivariate means, and
note in particular that in the special case of the geometric mean we recover
the weighted $\mathcal{A} \# \mathcal{H}$-mean introduced by Kim, Lawson, and
Lim.

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The categories of this paper are: bayes-an
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin