Global optimization based on a statistical model and simplicial partitioning.

DOI10.1016/S0898-1221(02)00206-7zbMath1047.90036OpenAlexW1993336459MaRDI QIDQ1416303

Julius Žilinskas, Antanas Žilinskas

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00206-7

zbMATH Keywords

ConvergenceGlobal optimizationStatistical modelsPartitioningSimplices

Mathematics Subject Classification ID

Nonlinear programming (90C30) Stochastic programming (90C15)

Related Items (13)

A hybrid global optimization algorithm for nonlinear least squares regression ⋮ P-algorithm based on a simplicial statistical model of multimodal functions ⋮ On the Least-Squares Fitting of Data by Sinusoids ⋮ On the exhaustivity of simplicial partitioning ⋮ On a global optimization algorithm for bivariate smooth functions ⋮ Simplicial Lipschitz optimization without the Lipschitz constant ⋮ Globally-biased disimpl algorithm for expensive global optimization ⋮ Global optimization based on bisection of rectangles, function values at diagonals, and a set of Lipschitz constants ⋮ Pareto set approximation by the method of adjustable weights and successive lexicographic goal programming ⋮ Well-suited and adaptive post-processing for the visualization of \(hp\) simulation results ⋮ Investigation of selection strategies in branch and bound algorithm with simplicial partitions and combination of Lipschitz bounds ⋮ Sequential model based optimization of partially defined functions under unknown constraints ⋮ On an Asymptotic Property of a Simplicial Statistical Model of Global Optimization

Cites Work

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• Unnamed Item
• Axiomatic characterization of a global optimization algorithm and investigation of its search strategy
• A versatile stochastic model of a function of unknown and time varying form
• A probabilistic algorithm for global optimization
• Handbook of global optimization
• Bayesian algorithms for one-dimensional global optimization
• On the convergence of the P-algorithm for one-dimensional global optimization of smooth functions
• Introduction to global optimization
• An adaptive stochastic global optimization algorithm for one-dimensional functions
• Two algorithms for one-dimensional multimodai minimization
• On statistical models for multimodal optimization
• A statistical model for global optimization by means of select and clone
• An Information Global Optimization Algorithm with Local Tuning
• Global optimization

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