Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: History matching with probabilistic emulators and active learning   The scientific understanding of real-world processes has dramatically
improved over the years through computer simulations. Such simulators represent
complex mathematical models that are implemented as computer codes which are
often expensive. The validity of using a particular simulator to draw accurate
conclusions relies on the assumption that the computer code is correctly
calibrated. This calibration procedure is often pursued under extensive
experimentation and comparison with data from a real-world process. The problem
is that the data collection may be so expensive that only a handful of
experiments are feasible. History matching is a calibration technique that,
given a simulator, it iteratively discards regions of the input space using an
implausibility measure. When the simulator is computationally expensive, an
emulator is used to explore the input space. In this paper, a Gaussian process
provides a complete probabilistic output that is incorporated into the
implausibility measure. The identification of regions of interest is
accomplished with recently developed annealing sampling techniques. Active
learning functions are incorporated into the history matching procedure to
refocus on the input space and improve the emulator. The efficiency of the
proposed framework is tested in well-known examples from the history matching
literature, as well as in a proposed testbed of functions of higher dimensions.

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The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom