Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient parameter estimation for a methane hydrate model with active
  subspaces   Methane gas hydrates have increasingly become a topic of interest because of
their potential as a future energy resource. There are significant economical
and environmental risks associated with extraction from hydrate reservoirs, so
a variety of multiphysics models have been developed to analyze prospective
risks and benefits. These models generally have a large number of empirical
parameters which are not known a priori. Traditional optimization-based
parameter estimation frameworks may be ill-posed or computationally
prohibitive. Bayesian inference methods have increasingly been found effective
for estimating parameters in complex geophysical systems. These methods often
are not viable in cases of computationally expensive models and
high-dimensional parameter spaces. Recently, methods have been developed to
effectively reduce the dimension of Bayesian inverse problems by identifying
low-dimensional structures that are most informed by data. Active subspaces is
one of the most generally applicable methods of performing this dimension
reduction. In this paper, Bayesian inference of the parameters of a
state-of-the-art mathematical model for methane hydrates based on experimental
data from a triaxial compression test with gas hydrate-bearing sand is
performed in an efficient way by utilizing active subspaces. Active subspaces
are used to identify low-dimensional structure in the parameter space which is
exploited by generating a cheap regression-based surrogate model and
implementing a modified Markov chain Monte Carlo algorithm. Posterior densities
having means that match the experimental data are approximated in a
computationally efficient way.

32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio