Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-scale coupling for preconditioned Hamiltonian Monte Carlo in
  infinite dimensions   We derive non-asymptotic quantitative bounds for convergence to equilibrium
of the exact preconditioned Hamiltonian Monte Carlo algorithm (pHMC) on a
Hilbert space. As a consequence, explicit and dimension-free bounds for pHMC
applied to high-dimensional distributions arising in transition path sampling
and path integral molecular dynamics are given. Global convexity of the
underlying potential energies is not required. Our results are based on a
two-scale coupling which is contractive in a carefully designed distance.

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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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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: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn