Tree-Structured Orthonormal Decomposition of the Aitchison Simplex
Researchers have introduced PolyILR, a novel method for decomposing compositional data that accounts for hierarchical structures. This technique creates a canonical orthonormal decomposition of the Aitchison tangent space, aligning with any tree topology. PolyILR yields stable and interpretable features, enabling inference at various tree resolutions and showing potential applications in probabilistic modeling. AI
IMPACT Introduces a new method for analyzing complex datasets, potentially improving machine learning model performance on hierarchical data.