Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hypocoercivity properties of adaptive Langevin dynamics   Adaptive Langevin dynamics is a method for sampling the Boltzmann-Gibbs
distribution at prescribed temperature in cases where the potential gradient is
subject to stochastic perturbation of unknown magnitude. The method replaces
the friction in underdamped Langevin dynamics with a dynamical variable,
updated according to a negative feedback loop control law as in the
Nos\'e-Hoover thermostat. Using a hypocoercivity analysis we show that the law
of Adaptive Langevin dynamics converges exponentially rapidly to the stationary
distribution, with a rate that can be quantified in terms of the key parameters
of the dynamics. This allows us in particular to obtain a central limit theorem
with respect to the time averages computed along a stochastic path. Our
theoretical findings are illustrated by numerical simulations involving
classification of the MNIST data set of handwritten digits using Bayesian
logistic regression.

8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat