Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak Convergence Rates of Population versus Single-Chain Stochastic
  Approximation MCMC Algorithms   In this paper, we establish the theory of weak convergence (toward a normal
distribution) for both single-chain and population stochastic approximation
MCMC algorithms. Based on the theory, we give an explicit ratio of convergence
rates for the population SAMCMC algorithm and the single-chain SAMCMC
algorithm. Our results provide a theoretic guarantee that the population SAMCMC
algorithms are asymptotically more efficient than the single-chain SAMCMC
algorithms when the gain factor sequence decreases slower than O(1/t), where t
indexes the number of iterations. This is of interest for practical
applications.

13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat