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arXiv · 1408.2698

Approximate D-optimal Experimental Design with Simultaneous Size and Cost Constraints

Radoslav Harman·Eva Benková
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Abstract

Consider an experiment with a finite set of design points representing permissible trial conditions. Suppose that each trial is associated with a cost that depends on the selected design point. In this paper, we study the problem of constructing an approximate D-optimal experimental design with simultaneous restrictions on the size and on the total cost. For the problem of size-and-cost constrained D-optimality, we formulate an equivalence theorem and rules for the removal of redundant design points. We also propose a simple monotonically convergent "barycentric" algorithm that allows us to numerically compute a size-and-cost constrained approximate D-optimal design.

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Radoslav Harman, Eva Benková. 2014-08-12. Approximate D-optimal Experimental Design with Simultaneous Size and Cost Constraints. https://arxiv.org/abs/1408.2698

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