Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bayesian inverse problems for Burgers and Hamilton-Jacobi equations with
  white-noise forcing   The paper formulates Bayesian inverse problems for inference in a topological
measure space given noisy observations. Conditions for the validity of the
Bayes formula and the well-posedness of the posterior measure are studied. The
abstract theory is then applied to Burgers and Hamilton-Jacobi equations on a
semi-infinite time interval with forcing functions which are white noise in
time. Inference is made on the white noise forcing, assuming the Wiener measure
as the prior.

16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th