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arXiv · 2511.04350

On the relationship between MESP and 0/1 D-Opt and their upper bounds

Gabriel Ponte·Marcia Fampa·Jon Lee
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Abstract

We establish strong connections between two fundamental nonlinear 0/1 optimization problems coming from the area of experimental design, namely maximum-entropy sampling and 0/1 D-optimality. The connections are based on maps between instances, and we analyze the behavior of these maps. Using these maps, we transport basic upper-bounding methods between these two problems. Further, we establish results relating how different branch-and-bound schemes based on these maps compare. Additionally, we observe some surprising numerical results, where bounding methods that did not seem promising in their direct application to real-data MESP instances, are now useful for MESP instances that come from 0/1 D-optimality.

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Gabriel Ponte, Marcia Fampa, Jon Lee. 2025-11-06. On the relationship between MESP and 0/1 D-Opt and their upper bounds. https://arxiv.org/abs/2511.04350

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