Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multidimensional integration through Markovian sampling under steered
  function morphing: a physical guise from statistical mechanics   We present a computational strategy for the evaluation of multidimensional
integrals on hyper-rectangles based on Markovian stochastic exploration of the
integration domain while the integrand is being morphed by starting from an
initial appropriate profile. Thanks to an abstract reformulation of Jarzynski's
equality applied in stochastic thermodynamics to evaluate the free-energy
profiles along selected reaction coordinates via non-equilibrium
transformations, it is possible to cast the original integral into the
exponential average of the distribution of the pseudo-work (that we may term
"computational work") involved in doing the function morphing, which is
straightforwardly solved. Several tests illustrate the basic implementation of
the idea, and show its performance in terms of computational time, accuracy and
precision. The formulation for integrand functions with zeros and possible sign
changes is also presented. It will be stressed that our usage of Jarzynski's
equality shares similarities with a practice already known in statistics as
Annealed Importance Sampling (AIS), when applied to computation of the
normalizing constants of distributions. In a sense, here we dress the AIS with
its "physical" counterpart borrowed from statistical mechanics.

6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol