Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Experimental Design for Inverse Problems in the Presence of
  Observation Correlations   Optimal experimental design (OED) is the general formalism of sensor
placement and decisions about the data collection strategy for engineered or
natural experiments. This approach is prevalent in many critical fields such as
battery design, numerical weather prediction, geosciences, and environmental
and urban studies. State-of-the-art computational methods for experimental
design, however, do not accommodate correlation structure in observational
errors produced by many expensive-to-operate devices such as X-ray machines,
radars, and satellites. Discarding evident data correlations leads to biased
results, higher expenses, and waste of valuable resources. We present a general
formulation of the OED formalism for model-constrained large-scale Bayesian
linear inverse problems, where measurement errors are generally correlated. The
proposed approach utilizes the Hadamard product of matrices to formulate the
weighted likelihood and is valid for both finite- and infinite-dimensional
Bayesian inverse problems. Extensive numerical experiments are carried out for
empirical verification of the proposed approach using an advection-diffusion
model, where the objective is to optimally place a small set of sensors, under
a limited budget, to predict the concentration of a contaminant in a closed and
bounded domain.

26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs