Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Composite Gaussian process models for emulating expensive functions   A new type of nonstationary Gaussian process model is developed for
approximating computationally expensive functions. The new model is a composite
of two Gaussian processes, where the first one captures the smooth global trend
and the second one models local details. The new predictor also incorporates a
flexible variance model, which makes it more capable of approximating surfaces
with varying volatility. Compared to the commonly used stationary Gaussian
process model, the new predictor is numerically more stable and can more
accurately approximate complex surfaces when the experimental design is sparse.
In addition, the new model can also improve the prediction intervals by
quantifying the change of local variability associated with the response.
Advantages of the new predictor are demonstrated using several examples.

30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn