Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Simulation and Trajectory Prediction with Gaussian Process Dynamics   Established techniques for simulation and prediction with Gaussian process
(GP) dynamics often implicitly make use of an independence assumption on
successive function evaluations of the dynamics model. This can result in
significant error and underestimation of the prediction uncertainty,
potentially leading to failures in safety-critical applications. This paper
discusses methods that explicitly take the correlation of successive function
evaluations into account. We first describe two sampling-based techniques; one
approach provides samples of the true trajectory distribution, suitable for
`ground truth' simulations, while the other draws function samples from basis
function approximations of the GP. Second, we propose a linearization-based
technique that directly provides approximations of the trajectory distribution,
taking correlations explicitly into account. We demonstrate the procedures in
simple numerical examples, contrasting the results with established methods.

15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
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The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int