Wald Space for Phylogenetic Trees

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

doi:10.1007/978-3-030-80209-7_76

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 proceeding › Conference contribution › peer-review

3 Citations (Scopus)

Abstract

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 language	English
Title of host publication	Geometric Science of Information
Subtitle of host publication	5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings
Editors	Frank Nielsen, Frédéric Barbaresco
Place of Publication	Cham, Switzerland
Publisher	Springer
Pages	710-717
Number of pages	8
Edition	1
ISBN (Electronic)	9783030802097
ISBN (Print)	9783030802080
DOIs	https://doi.org/10.1007/978-3-030-80209-7_76
Publication status	Published - 10 Jul 2021
Externally published	Yes
Event	5th International Conference on Geometric Science of Information, GSI 2021 - Paris, France Duration: 21 Jul 2021 → 23 Jul 2021 Conference number: 5

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	12829 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	5th International Conference on Geometric Science of Information, GSI 2021
Country/Territory	France
City	Paris
Period	21/07/21 → 23/07/21

Access to Document

10.1007/978-3-030-80209-7_76

Cite this

Lueg, J., Garba, M. K., Nye, T. M. W., & Huckemann, S. F. (2021). Wald Space for Phylogenetic Trees. In F. Nielsen, & F. Barbaresco (Eds.), Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings (1 ed., pp. 710-717). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12829 LNCS). Springer. https://doi.org/10.1007/978-3-030-80209-7_76

Lueg, Jonas ; Garba, Maryam K. ; Nye, Tom M.W. et al. / Wald Space for Phylogenetic Trees. Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings. editor / Frank Nielsen ; Frédéric Barbaresco. 1. ed. Cham, Switzerland : Springer, 2021. pp. 710-717 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{2e67dd0c85dd4807a9a7cb7280791392,

title = "Wald Space for Phylogenetic Trees",

abstract = "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 Fr{\'e}chet 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.",

author = "Jonas Lueg and Garba, \{Maryam K.\} and Nye, \{Tom M.W.\} and Huckemann, \{Stephan F.\}",

year = "2021",

month = jul,

day = "10",

doi = "10.1007/978-3-030-80209-7\_76",

language = "English",

isbn = "9783030802080",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer",

pages = "710--717",

editor = "Frank Nielsen and Fr{\'e}d{\'e}ric Barbaresco",

booktitle = "Geometric Science of Information",

address = "Germany",

edition = "1",

note = "5th International Conference on Geometric Science of Information, GSI 2021 ; Conference date: 21-07-2021 Through 23-07-2021",

}

Lueg, J, Garba, MK, Nye, TMW & Huckemann, SF 2021, Wald Space for Phylogenetic Trees. in F Nielsen & F Barbaresco (eds), Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings. 1 edn, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 12829 LNCS, Springer, Cham, Switzerland, pp. 710-717, 5th International Conference on Geometric Science of Information, GSI 2021, Paris, France, 21/07/21. https://doi.org/10.1007/978-3-030-80209-7_76

Wald Space for Phylogenetic Trees. / Lueg, Jonas; Garba, Maryam K.; Nye, Tom M.W. et al.
Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings. ed. / Frank Nielsen; Frédéric Barbaresco. 1. ed. Cham, Switzerland: Springer, 2021. p. 710-717 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12829 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Garba, Maryam K.

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AU - Huckemann, Stephan F.

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PY - 2021/7/10

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N2 - 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.

AB - 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.

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DO - 10.1007/978-3-030-80209-7_76

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AN - SCOPUS:85112582609

SN - 9783030802080

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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Lueg J, Garba MK, Nye TMW, Huckemann SF. Wald Space for Phylogenetic Trees. In Nielsen F, Barbaresco F, editors, Geometric Science of Information: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings. 1 ed. Cham, Switzerland: Springer. 2021. p. 710-717. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-80209-7_76

Wald Space for Phylogenetic Trees

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