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Then multivariate kriging is used to construct the fast surrogate.
In the crossover step, each pair of parents generates a pool of offspring which are evaluated using the fast surrogate model.
The methodology includes the construction of a "fast surrogate" of an objective function whose evaluation involves the execution of a time-consuming computational model, based on neural networks, DACE modeling, and adaptive sampling.
Possibly the most promising approach to alleviate this difficulty is surrogate-based optimization (SBO), where direct optimization of expensive models is replaced by an iterative enhancement and re-optimization of fast surrogate models.
Thus, applications have used approximate methods in the neighborhood of the maximum likelihood estimator (e.g. Denlinger et al. 2012), Markov-chain Monte Carlo sampling (e.g. Mosegaard and Tarantola 1995; Anderson and Segall 2013), or the construction of fast surrogate models (e.g. Craig et al. 2001; Bursik et al. 2012; Madankan et al. 2014) to estimate the posterior distribution of model inputs.
For computationally expensive models, model evaluation time may preclude an extensive sampling of the input space, and the development of statistical emulators (Santner et al. 2003; Rougier 2008; Bayarri et al. 2009; Vernon et al. 2010; Lee et al. 2011) or fast surrogate models (Bursik et al. 2012; Madankan et al. 2014) may be necessary.
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A deterministic technique for fast surrogate-assisted multi-objective design optimization of antennas in highly-dimensional parameters spaces has been discussed.
In children, limited vitamin D data show an association with fasting hyperglycemia in the nondiabetic range and fasting surrogate indices of insulin sensitivity (4, 5).
Homeostasis model assessment of insulin sensitivity (HOMA-IS) and quantitative insulin sensitivity check index (QUICKI), additional fasting surrogate estimates of insulin sensitivity (20), were calculated to assess if they show the same trend for insulin sensitivity across glucose categories as the clamp.
Moreover, the reported relationships between 25(OH D and parameters of glucose homeostasis, assessed by fasting surrogate indices of insulin sensitivity, contrast widely among studies in both children (4, 22, 23) and adults (2, 9, 24– 26) and are often confounded by adiposity.
In order to speed up the investigations, fast statistical surrogates have been developed in the literature.
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