Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Infill Criterion for Multimodal Model-Based Optimisation   Physical systems are modelled and investigated within simulation software in
an increasing range of applications. In reality an investigation of the system
is often performed by empirical test scenarios which are related to typical
situations. Our aim is to derive a method which generates diverse test
scenarios each representing a challenging situation for the corresponding
physical system.
  From a mathematical point of view challenging test scenarios correspond to
local optima. Hence, we focus to identify all local optima within mathematical
functions. Due to the fact that simulation runs are usually expensive we use
the model-based optimisation approach with its well-known representative
efficient global optimisation. We derive an infill criterion which focuses on
the identification of local optima. The criterion is checked via fifteen
different artificial functions in a computer experiment. Our new infill
criterion performs better in identifying local optima compared to the expected
improvement infill criterion and Latin Hypercube Samples.

29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph