Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the two-filter approximations of marginal smoothing distributions in
  general state space models   A prevalent problem in general state space models is the approximation of the
smoothing distribution of a state conditional on the observations from the
past, the present, and the future. The aim of this paper is to provide a
rigorous analysis of such approximations of smoothed distributions provided by
the two-filter algorithms. We extend the results available for the
approximation of smoothing distributions to these two-filter approaches which
combine a forward filter approximating the filtering distributions with a
backward information filter approximating a quantity proportional to the
posterior distribution of the state given future observations.

7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat