6 papers · 1 filter
Removal of Redundant Candidate Points for the Exact D-Optimal Design Problem
Radoslav Harman, Samuel Rosa
One of the most common problems in statistical experimentation is computing D-optimal designs on large finite candidate sets. While optimal approximate (i.e., infinite-sample) desi…
A Randomized Exchange Algorithm for Optimal Design of Multi-Response Experiments
Pál Somogyi, Samuel Rosa, Radoslav Harman
Despite the increasing prevalence of vector observations, computation of optimal experimental design for multi-response models has received limited attention. To address this probl…
The Polytope of Optimal Approximate Designs: Extending the Selection of Informative Experiments
Radoslav Harman, Lenka Filová, Samuel Rosa
Consider the problem of constructing an experimental design, optimal for estimating parameters of a given statistical model with respect to a chosen criterion. To address this prob…
Mixed-integer linear programming for computing optimal experimental designs
Radoslav Harman, Samuel Rosa
The problem of computing an exact experimental design that is optimal for the least-squares estimation of the parameters of a regression model is considered. We show that this prob…
Optimal Design of Multifactor Experiments via Grid Exploration
Radoslav Harman, Lenka Filová, Samuel Rosa
For computing efficient approximate designs of multifactor experiments, we propose a simple algorithm based on adaptive exploration of the grid of all combinations of factor levels…
On greedy heuristics for computing D-efficient saturated subsets
Radoslav Harman, Samuel Rosa
Let be a set consisting of real vectors of dimension . For any saturated, i.e., -element, subset of , let $\mathrm{vol}(\m…