Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Where to Drill Next? A Dual-Weighted Approach to Adaptive Optimal Design
  of Groundwater Surveys   We present a novel approach to adaptive optimal design of groundwater surveys
- a methodology for choosing the location of the next monitoring well. Our
dual-weighted approach borrows ideas from Bayesian Optimisation and
goal-oriented error estimation to propose the next monitoring well, given that
some data is already available from existing wells. Our method is distinct from
other optimal design strategies in that it does not rely on Fisher Information
and it instead directly exploits the posterior uncertainty and the expected
solution to a dual (or adjoint) problem to construct an acquisition function
that optimally reduces the uncertainty in the model as a whole and some
engineering quantity of interest in particular. We demonstrate our approach in
the context of 2D groundwater flow example and show that the dual-weighted
approach outperforms the baseline approach with respect to reducing the error
in the posterior estimate of the quantity of interest.

28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg