Using SeDuMi to find various optimal designs for regression models

DOI10.1007/s00362-017-0887-7zbMath1432.62252OpenAlexW2592561635WikidataQ100434192 ScholiaQ100434192MaRDI QIDQ2010813

Weng Kee Wong, Julie Zhou, Yue Yin

Publication date: 28 November 2019

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://escholarship.org/uc/item/18z6201q

zbMATH Keywords

convex optimizationnonlinear modelequivalence theoremweighted least squaressemidefinite programming (SDP)approximate designself-dual minimization (SeDuMi)

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Response surface designs (62K20)

Related Items (1)

Minimax robust designs for regression models with heteroscedastic errors

Uses Software

• SeDuMi

Cites Work

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• A semi-infinite programming based algorithm for finding minimax optimal designs for nonlinear models
• Monotonic convergence of a general algorithm for computing optimal designs
• A new approach to the construction of optimal designs
• Optimal designs for rational models
• D- and c-optimal designs for exponential regression models used in viral dynamics and other applications
• Optimal designs for rational models and weighted polynomial regression
• Optimal designs for a class of nonlinear regression models
• \(E\)-optimal designs for rational models
• A semi-infinite programming based algorithm for determining T-optimum designs for model discrimination
• Optimal design measures under asymmetric errors, with application to binary design points
• \(E\)-optimal designs for polynomial regression
• New optimal design criteria for regression models with asymmetric errors
• Optimal design of large-scale screening experiments: a critical look at the coordinate-exchange algorithm
• An Introduction to Optimal Designs for Social and Biomedical Research
• An algorithm for optimal designs on a design space
• Optimality criteria for regression models based on predicted variance
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• The Coordinate-Exchange Algorithm for Constructing Exact Optimal Experimental Designs
• Optimal Designs for Rational Function Regression
• Computing A-optimal and E-optimal designs for regression models via semidefinite programming
• Computing Optimal Experimental Designs via Interior Point Method
• A Direct Formulation for Sparse PCA Using Semidefinite Programming

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