Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximate Propagation of both Epistemic and Aleatory Uncertainty
  through Dynamic Systems   When ignorance due to the lack of knowledge, modeled as epistemic uncertainty
using Dempster-Shafer structures on closed intervals, is present in the model
parameters, a new uncertainty propagation method is necessary to propagate both
aleatory and epistemic uncertainty. The new framework proposed here, combines
both epistemic and aleatory uncertainty into a second-order uncertainty
representation which is propagated through a dynamic system driven by white
noise. First, a finite parametrization is chosen to model the aleatory
uncertainty by choosing a representative approximation to the probability
density function conditioned on epistemic variables. The epistemic uncertainty
is then propagated through the moment evolution equations of the conditional
probability density function. This way we are able to model the ignorance when
the knowledge about the system is incomplete. The output of the system is a
Dempster-Shafer structure on sets of cumulative distributions which can be
combined using different rules of combination and eventually transformed into a
singleton cumulative distribution function using Smets' pignistic
transformation when decision making is needed.

37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics