Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Riemann-Stein Kernel Method   This paper proposes and studies a numerical method for approximation of
posterior expectations based on interpolation with a Stein reproducing kernel.
Finite-sample-size bounds on the approximation error are established for
posterior distributions supported on a compact Riemannian manifold, and we
relate these to a kernel Stein discrepancy (KSD). Moreover, we prove in our
setting that the KSD is equivalent to Sobolev discrepancy and, in doing so, we
completely characterise the convergence-determining properties of KSD. Our
contribution is rooted in a novel combination of Stein's method, the theory of
reproducing kernels, and existence and regularity results for partial
differential equations on a Riemannian manifold.

4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas