Wald Space for Phylogenetic Trees

Jonas Lueg*, Maryam K. Garba, Tom M.W. Nye, Stephan F. Huckemann

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)


The recently introduced wald space models phylogenetic trees from an evolutionary perspective. We show that it is a stratified space and propose algorithms to compute geodesics. In application we compute a Fréchet mean of three trees of different topologies that is fully resolved, unlike in BHV-space. Both, preliminary results on geodesics and on means suggest that wald space features less stickiness than BHV-space, making it an alternative model for statistical investigations.

Original languageEnglish
Title of host publicationGeometric Science of Information
Subtitle of host publication5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings
EditorsFrank Nielsen, Frédéric Barbaresco
Place of PublicationCham, Switzerland
Number of pages8
ISBN (Electronic)9783030802097
ISBN (Print)9783030802080
Publication statusPublished - 10 Jul 2021
Externally publishedYes
Event5th International Conference on Geometric Science of Information, GSI 2021 - Paris, France
Duration: 21 Jul 202123 Jul 2021
Conference number: 5

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12829 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference5th International Conference on Geometric Science of Information, GSI 2021

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