Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distance between configurations in MCMC simulations and the geometrical
  optimization of the tempering algorithms   For a given Markov chain Monte Carlo (MCMC) algorithm, we define the distance
between configurations that quantifies the difficulty of transitions. This
distance enables us to investigate MCMC algorithms in a geometrical way, and we
investigate the geometry of the simulated tempering algorithm implemented for
an extremely multimodal system with highly degenerate vacua. We show that the
large scale geometry of the extended configuration space is given by an
asymptotically anti-de Sitter metric, and argue in a simple, geometrical way
that the tempering parameter should be best placed exponentially to acquire
high acceptance rates for transitions in the extra dimension. We also discuss
the geometrical optimization of the tempered Lefschetz thimble method, which is
an algorithm towards solving the numerical sign problem.

32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
14
The categories of this paper are: math-ph