5,697 research outputs found
On Prediction Properties of Kriging: Uniform Error Bounds and Robustness
Kriging based on Gaussian random fields is widely used in reconstructing
unknown functions. The kriging method has pointwise predictive distributions
which are computationally simple. However, in many applications one would like
to predict for a range of untried points simultaneously. In this work we obtain
some error bounds for the (simple) kriging predictor under the uniform metric.
It works for a scattered set of input points in an arbitrary dimension, and
also covers the case where the covariance function of the Gaussian process is
misspecified. These results lead to a better understanding of the rate of
convergence of kriging under the Gaussian or the Mat\'ern correlation
functions, the relationship between space-filling designs and kriging models,
and the robustness of the Mat\'ern correlation functions
Optimization of scale-free network for random failures
It has been found that the networks with scale-free distribution are very
resilient to random failures. The purpose of this work is to determine the
network design guideline which maximize the network robustness to random
failures with the average number of links per node of the network is constant.
The optimal value of the distribution exponent and the minimum connectivity to
different network size are given in this paper. Finally, the optimization
strategy how to improve the evolving network robustness is given.Comment: 6 pages, 1 figur
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