Removing inessential points in \(c\)-and \(A\)-optimal design

DOI10.1016/j.jspi.2020.11.011zbMath1460.62127OpenAlexW3036116562MaRDI QIDQ830728

Guillaume Sagnol, Luc Pronzato

Publication date: 7 May 2021

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2020.11.011

zbMATH Keywords

support point\(c\)-optimal design\(A\)-optimal designinessential pointscreening test

Mathematics Subject Classification ID

Ridge regression; shrinkage estimators (Lasso) (62J07) Optimal statistical designs (62K05) Optimality conditions and duality in mathematical programming (90C46)

Cites Work

• Algorithmic construction of optimal designs on compact sets for concave and differentiable criteria
• Computing optimal designs of multiresponse experiments reduces to second-order cone program\-ming
• Elfving's theorem for \(D\)-optimality
• Improvements on removing nonoptimal support points in \(D\)-optimum design algorithms
• Computing \(c\)-optimal experimental designs using the simplex method of linear programming
• Monotonic convergence of a general algorithm for computing optimal designs
• A geometric characterization of \(c\)-optimal designs for heteroscedastic regression
• General equivalence theory for optimum designs (approximate theory)
• Removing non-optimal support points in \(D\)-optimum design algorithms.
• Removal of the points that do not support an \(E\)-optimal experimental design
• Design of experiments in nonlinear models. Asymptotic normality, optimality criteria and small-sample properties
• An unexpected connection between Bayes \(A\)-optimal designs and the group Lasso
• A delimitation of the support of optimal designs for Kiefer's \(\phi _p\)-class of criteria
• The Equivalence of Two Extremum Problems
• On the regularization of singular c-optimal designs
• Approximate D-optimal designs of experiments on the convex hull of a finite set of information matrices
• On the elimination of inessential points in the smallest enclosing ball problem
• On Optimal Designs for Nonlinear Models: A General and Efficient Algorithm
• A Survey of the S-Lemma
• Optimum Allocation in Linear Regression Theory
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