Hyb-Adam-UM: hybrid ultrametric-aware mtDNA phylogeny reconstruction

Fuente: arXiv
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Autori principali: Chaikovskii, Dmitrii, Qu, Weilai, Melnikov, Boris, Zhang, Ye, Zhao, Yuehong
Natura: Preprint
Pubblicazione: 2026
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author Chaikovskii, Dmitrii
Qu, Weilai
Melnikov, Boris
Zhang, Ye
Zhao, Yuehong
author_facet Chaikovskii, Dmitrii
Qu, Weilai
Melnikov, Boris
Zhang, Ye
Zhao, Yuehong
contents Motivation: mtDNA distance matrices are standard inputs for distance-based phylogeny, but computing all pairwise alignments is costly. Missing entries can degrade inferred topology and branch lengths, and generic matrix-completion methods may disrupt tree-like (ultrametric) structure. Results: We propose Hyb-Adam-UM, which starts from an alignment-limited Needleman-Wunsch distance backbone and completes the matrix by minimizing a robust triplet ultrametric-violation functional. An Adam-style finite-difference optimizer updates only missing entries while enforcing symmetry, non-negativity, and a zero diagonal. From one complete reference matrix, we generate 20 masked instances at 30%, 50%, 65%, and 85% missingness. Hyb-Adam-UM consistently reduces ultrametric violations and achieves competitive reconstruction error, with improved topological accuracy and branch-length agreement relative to MW*/NJ* projection baselines (which exactly preserve observed distances) and Soft-Impute; gains are most pronounced at 85% missingness. Availability and implementation: https://github.com/mitichya/hyb-adam-um/; Zenodo: https://doi.org/10.5281/zenodo.18609748 Supplementary information: Supplementary data available online.
format Preprint
id arxiv_https___arxiv_org_abs_2602_12854
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Hyb-Adam-UM: hybrid ultrametric-aware mtDNA phylogeny reconstruction
Chaikovskii, Dmitrii
Qu, Weilai
Melnikov, Boris
Zhang, Ye
Zhao, Yuehong
Populations and Evolution
Numerical Analysis
Motivation: mtDNA distance matrices are standard inputs for distance-based phylogeny, but computing all pairwise alignments is costly. Missing entries can degrade inferred topology and branch lengths, and generic matrix-completion methods may disrupt tree-like (ultrametric) structure. Results: We propose Hyb-Adam-UM, which starts from an alignment-limited Needleman-Wunsch distance backbone and completes the matrix by minimizing a robust triplet ultrametric-violation functional. An Adam-style finite-difference optimizer updates only missing entries while enforcing symmetry, non-negativity, and a zero diagonal. From one complete reference matrix, we generate 20 masked instances at 30%, 50%, 65%, and 85% missingness. Hyb-Adam-UM consistently reduces ultrametric violations and achieves competitive reconstruction error, with improved topological accuracy and branch-length agreement relative to MW*/NJ* projection baselines (which exactly preserve observed distances) and Soft-Impute; gains are most pronounced at 85% missingness. Availability and implementation: https://github.com/mitichya/hyb-adam-um/; Zenodo: https://doi.org/10.5281/zenodo.18609748 Supplementary information: Supplementary data available online.
title Hyb-Adam-UM: hybrid ultrametric-aware mtDNA phylogeny reconstruction
topic Populations and Evolution
Numerical Analysis
url https://arxiv.org/abs/2602.12854