Global ETD Search
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Showing 1 to 3 of 3 for “"Trust Regions"”.
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Construction of Centroidal Voronoi Tessellations Using A Conjugate Gradient Method Based On Trust Regions
… (mass centers) of the corresponding Voronoi regions is called a centroidal Voronoi tessellation (CVT). Due to the natural optimization properties enjoyed by CVTs, they have diverse applications in many areas of science and engineering. In this paper, we present a new algorithm for computing …
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MULTI-MODEL ALGORITHMS FOR OPTIMIZATION (TRUST REGIONS, NONLINEAR LEAST SQUARES, SECANT, HYBRID METHODS, MODEL SWITCHING)
… to the exact value of the Hessian). We present a trust region formulation for multi-model methods which allows the efficient incorporation of an arbitrary number of models. Global convergence can be shown for three classes of algorithms under different assumptions on the models. First, essentially …
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Robust Parameter Inversion Using Stochastic Estimates
… a robust algorithm. We propose a new trust region framework that replaces the objective function evaluations with stochastic estimates of the improvement factor and the misfit between the model and objective function gradients. If these estimates satisfy a fixed multiplicative error …