Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the construction of nested space-filling designs   Nested space-filling designs are nested designs with attractive
low-dimensional stratification. Such designs are gaining popularity in
statistics, applied mathematics and engineering. Their applications include
multi-fidelity computer models, stochastic optimization problems, multi-level
fitting of nonparametric functions, and linking parameters. We propose methods
for constructing several new classes of nested space-filling designs. These
methods are based on a new group projection and other algebraic techniques. The
constructed designs can accommodate a nested structure with an arbitrary number
of layers and are more flexible in run size than the existing families of
nested space-filling designs. As a byproduct, the proposed methods can also be
used to obtain sliced space-filling designs that are appealing for conducting
computer experiments with both qualitative and quantitative factors.

7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn