Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric ergodicity of the bouncy particle sampler   The Bouncy Particle Sampler (BPS) is a Monte Carlo Markov Chain algorithm to
sample from a target density known up to a multiplicative constant. This method
is based on a kinetic piecewise deterministic Markov process for which the
target measure is invariant. This paper deals with theoretical properties of
BPS. First, we establish geometric ergodicity of the associated semi-group
under weaker conditions than in [10] both on the target distribution and the
velocity probability distribution. This result is based on a new coupling of
the process which gives a quantitative minorization condition and yields more
insights on the convergence. In addition, we study on a toy model the
dependency of the convergence rates on the dimension of the state space.
Finally, we apply our results to the analysis of simulated annealing algorithms
based on BPS.

8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs