A Geometric Approach to Optimal Experimental Design
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Abstract (arXiv)
We introduce a novel geometric framework for optimal experimental design (OED). Traditional OED approaches, such as those based on mutual information, rely explicitly on probability densities, leading to restrictive invariance properties. To address these limitations, we propose the mutual transport dependence (MTD), a measure of statistical dependence grounded in optimal transport theory which provides a geometric objective for optimizing designs. Unlike conventional approaches, the MTD can be tailored to specific downstream estimation problems by choosing appropriate geometries on the underlying spaces. We demonstrate that our framework produces high-quality designs while offering a flexible alternative to standard information-theoretic techniques.
Key facts. Cited by 2 papers in the map (data through 7 Oct 2026). Builds on 30 of its 80 references that are in the map. First posted on arXiv 16 Oct 2025.
Builds on
30 of 80 references.
References · 30
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18 more
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Citing papers per year: 2026: 2.
2 papers.