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Tree-Structured Orthonormal Decomposition of the Aitchison Simplex

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Compositional data -- vectors encoding relative proportions -- arise across scientific domains, including ecology, geochemistry, and genomics. The features in these data often come with known hierarchical structure (e.

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arXiv Machine Learning
Aug 7

Phylogenetic Tree Inference with Tropical Axial Attention

arXiv:2605. 13894v2 Announce Type: replace-cross Abstract: In this work, we introduce a Tropical Axial Attention neural reasoning architecture that replaces vanilla softmax dot-product attention with max-plus operators, inducing a piecewise-linear structure aligned with dynamic programming formulations.

By Chris Teska, Kurt Pasque, Ruriko Yoshida, Baran Hashemi