Approximation of IMSE-optimal Designs via Quadrature Rules and Spectral Decomposition

Approximation of IMSE-optimal Designs via Quadrature Rules and Spectral Decomposition

We address the problem of computing IMSE (Integrated Mean-Squared Error) optimal designs for random fields interpolation with known mean and covariance. We both consider the IMSE and truncated-IMSE (approximation of the IMSE by spectral truncation). We assume that the MSE is integrated through a discrete measure and restrict the design space to the support of the considered measure. The IMSE an...

Approximation of IMSE-optimal designs via quadrature rule and spectral decomposition

We address the problem of computing IMSE (Integrated Mean Square Error) optimal designs for random fields interpolation with known mean and covariance. We assume that the MSE is integrated through a discrete measure and restrict the design space to the support of the measure considered. For such quadrature designs, the computational cost of IMSE evaluations can be significantly reduced by consi...

Spectral approximation of the IMSE criterion for optimal designs in kernel-based interpolation models

We address the problem of computing IMSE-optimal designs for random field interpolation models. A spectral representation of the IMSE criterion is obtained from the eigendecomposition of the integral operator defined by the covariance kernel of the random field and integration measure considered. The IMSE can then be approximated by spectral truncation and bounds on the error induced by this tr...

Quadrature Rules for Fuzzy Integrals

OPTIMAL DECOMPOSITION OF FINITE ELEMENT MESHES VIA K-MEDIAN METHODOLOGY AND DIFFERENT METAHEURISTICS

In this paper the performance of four well-known metaheuristics consisting of Artificial Bee Colony (ABC), Biogeographic Based Optimization (BBO), Harmony Search (HS) and Teaching Learning Based Optimization (TLBO) are investigated on optimal domain decomposition for parallel computing. A clique graph is used for transforming the connectivity of a finite element model (FEM) into that of the cor...