Vector encoding of phylogenetic trees by ordered leaf attachment

Fuente: arXiv
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Auteurs principaux: Richman, Harry, Zhang, Cheng, Matsen IV, Frederick A.
Format: Preprint
Publié: 2025
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author Richman, Harry
Zhang, Cheng
Matsen IV, Frederick A.
author_facet Richman, Harry
Zhang, Cheng
Matsen IV, Frederick A.
contents As part of work to connect phylogenetics with machine learning, there has been considerable recent interest in vector encodings of phylogenetic trees. We present a simple new "ordered leaf attachment" (OLA) method for uniquely encoding a binary, rooted phylogenetic tree topology as an integer vector. OLA encoding and decoding take linear time in the number of leaf nodes, and the set of vectors corresponding to trees is a simply-described subset of integer sequences. The OLA encoding is unique compared to other existing encodings in having these properties. The integer vector encoding induces a distance on the set of trees, and we investigate this distance in relation to the NNI and SPR distances.
format Preprint
id arxiv_https___arxiv_org_abs_2503_10169
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Vector encoding of phylogenetic trees by ordered leaf attachment
Richman, Harry
Zhang, Cheng
Matsen IV, Frederick A.
Populations and Evolution
Combinatorics
92B10, 05C05, 05C85, 68W40
As part of work to connect phylogenetics with machine learning, there has been considerable recent interest in vector encodings of phylogenetic trees. We present a simple new "ordered leaf attachment" (OLA) method for uniquely encoding a binary, rooted phylogenetic tree topology as an integer vector. OLA encoding and decoding take linear time in the number of leaf nodes, and the set of vectors corresponding to trees is a simply-described subset of integer sequences. The OLA encoding is unique compared to other existing encodings in having these properties. The integer vector encoding induces a distance on the set of trees, and we investigate this distance in relation to the NNI and SPR distances.
title Vector encoding of phylogenetic trees by ordered leaf attachment
topic Populations and Evolution
Combinatorics
92B10, 05C05, 05C85, 68W40
url https://arxiv.org/abs/2503.10169