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Tree-Structured Orthonormal Decomposition of the Aitchison Simplex

arXiv cs.LG · 2026-06-11 Cached

This paper introduces PolyILR, a canonical orthonormal decomposition of the Aitchison tangent space that aligns with any tree topology, providing stable and interpretable features for compositional data such as microbiome and single-cell profiles.

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