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Paper · arXiv

Geometry-Aware Bayesian Quantification via Compositional Data Analysis

Accurately estimating the unknown target label distribution is the critical first step for adapting to label shift. This task, widely known as quantification or class prevalence estimation, has recently seen significant advances through continuous KDE-based methods which model the density of multiclass classifier posteriors. Posterior vectors might be regarded as compositional data, since they lie on the probability simplex. However, existing KDE-based quantifiers typically rely on Euclidean Gaussian kernels, which ignore simplex geometry and incorrectly assign probability mass outside its boundaries. We introduce a geometry-aware KDE model for multiclass quantification based on log-ratio...

AuthorsAlejandro Moreo, Pablo González, Juan José del Coz
Primary categorycs.LG
Published6 July 2026
Last updated at source6 July 2026
cs.LGstat.ML
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