login

An Accelerated Sequential Algorithm for Producing<i>D</i>-Optimal Designs

SIAM Journal on Scientific and Statistical ComputingPublished 1 March 1989
Thomas G. Robertazzi, S.C. Schwartz
Citations41

TL;DR

An extremely efficient algorithm is presented for generating D-optimal designs and it is shown that the underlying set function of the sequential design algorithm is submodular and thus the so-called accelerated greedy algorithm may be applied.

Abstract

An extremely efficient algorithm is presented for generating D-optimal designs. It is shown that the underlying set function of the sequential design algorithm is submodular and thus the so-called accelerated greedy algorithm may be applied to this problem. While the new algorithm’s statistical basis is identical to that of the Wynn and Federov algorithm, it requires significantly fewer function evaluations. The new algorithm is particularly useful when no prior information concerning the structure of the optimal design is available.

Keywords

Computer ScienceDecision SciencesEngineering