Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well-posed Bayesian inverse problems and heavy-tailed stable
  quasi-Banach space priors   This article extends the framework of Bayesian inverse problems in
infinite-dimensional parameter spaces, as advocated by Stuart (Acta Numer.
19:451--559, 2010) and others, to the case of a heavy-tailed prior measure in
the family of stable distributions, such as an infinite-dimensional Cauchy
distribution, for which polynomial moments are infinite or undefined. It is
shown that analogues of the Karhunen--Lo\`eve expansion for square-integrable
random variables can be used to sample such measures on quasi-Banach spaces.
Furthermore, under weaker regularity assumptions than those used to date, the
Bayesian posterior measure is shown to depend Lipschitz continuously in the
Hellinger metric upon perturbations of the misfit function and observed data.

21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an