@article{treestructuredorthonormaldecompositionof,
  title = {Tree-Structured Orthonormal Decomposition of the Aitchison Simplex},
  author = {Daisuke Yamada and Qijun Zhang and Travis Pence and Barbara B. Bendlin and Federico Rey and Vikas Singh},
  year = {2026},
  eprint = {2606.11646},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.11646},
}