Open question · OPEN-MIXTURE-PARAMETERIZATION

Which mixture score coordinates should be used?

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Meaning

A canonical parameterization for linear-mixture score construction remains to be developed.

Statement

Derive numerically stable score coordinates for simplex fractions, reference-component coordinates, unconstrained local coordinates, and extended yields; clarify D invariance and Ds POI/nuisance transformations.

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Local map of Canonical score parameterization for linear mixtures2 prerequisites to the left, 0 results it enables or questions it raises to the right, 0 boundary cases below.Linear-mixture component ratios suffice for score constructionLinear-mixture compon…D-optimal partition invariance under invertible reparameterizationD-optimal partition i…Canonical score parameterization for linear mixturesCanonical score param…
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The question in full

Canonical parameterization for linear mixtures

For mixture fractions and extended yields, derive numerically stable score coordinates under simplex constraints, reference-component coordinates, unconstrained local coordinates, and yield parameterization. Clarify D invariance and DsD_s POI/nuisance transformations.

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