The accumulated persistence function, a new useful functional summary statistic for topological data analysis, with a view to brain artery trees and spatial point process applications.

Christophe Ange Napoléon Biscio; Jesper Møller

doi:10.1080/10618600.2019.1573686

The accumulated persistence function, a new useful functional summary statistic for topological data analysis, with a view to brain artery trees and spatial point process applications.

Christophe Ange Napoléon Biscio^*, Jesper Møller

^*Kontaktforfatter

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

35 Citationer (Scopus)

Originalsprog	Engelsk
Tidsskrift	Journal of Computational and Graphical Statistics
Vol/bind	28
Udgave nummer	3
Sider (fra-til)	671-681
Antal sider	11
ISSN	1061-8600
DOI	https://doi.org/10.1080/10618600.2019.1573686
Status	Udgivet - 2019

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10.1080/10618600.2019.1573686

https://arxiv.org/abs/1611.00630

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The Accumulated Persistence Function, a New Useful Functional Summary Statistic for Topological Data Analysis, With a View to Brain Artery Trees and Spatial Point Process Applications
Biscio, C. A. N. (Ophavsperson) & Møller, J. (Ophavsperson), Taylor & Francis, 29 apr. 2019
DOI: 10.6084/m9.figshare.7728554.v2, https://tandf.figshare.com/articles/The_accumulated_persistence_function_a_new_useful_functional_summary_statistic_for_topological_data_analysis_with_a_view_to_brain_artery_trees_and_spatial_point_process_applications/7728554/2
Datasæt: Supplerende materiale
The Accumulated Persistence Function, a New Useful Functional Summary Statistic for Topological Data Analysis, With a View to Brain Artery Trees and Spatial Point Process Applications
Biscio, C. A. N. (Ophavsperson) & Møller, J. (Ophavsperson), Taylor & Francis, 2019
DOI: 10.6084/m9.figshare.7728554, https://tandf.figshare.com/articles/The_accumulated_persistence_function_a_new_useful_functional_summary_statistic_for_topological_data_analysis_with_a_view_to_brain_artery_trees_and_spatial_point_process_applications/7728554
Datasæt: Supplerende materiale
The accumulated persistence function, a new useful functional summary statistic for topological data analysis, with a view to brain artery trees and spatial point process applications
Biscio, C. A. N. (Ophavsperson) & Møller, J. (Ophavsperson), Taylor & Francis, 2019
DOI: 10.6084/m9.figshare.7728554.v1, https://tandf.figshare.com/articles/The_accumulated_persistence_function_a_new_useful_functional_summary_statistic_for_topological_data_analysis_with_a_view_to_brain_artery_trees_and_spatial_point_process_applications/7728554/1
Datasæt: Supplerende materiale

Citationsformater

@article{b1d3392d2a2048f6abb1920fae4de067,

title = "The accumulated persistence function, a new useful functional summary statistic for topological data analysis, with a view to brain artery trees and spatial point process applications.",

keywords = "Clustering, Confidence region, Functional boxplot, Global rank envelope, Persistent homology, Two-sample test",

author = "Biscio, {Christophe Ange Napol{\'e}on} and Jesper M{\o}ller",

year = "2019",

doi = "10.1080/10618600.2019.1573686",

language = "English",

volume = "28",

pages = "671--681",

journal = "Journal of Computational and Graphical Statistics",

issn = "1061-8600",

publisher = "Taylor & Francis",

number = "3",

}

The accumulated persistence function, a new useful functional summary statistic for topological data analysis, with a view to brain artery trees and spatial point process applications. / Biscio, Christophe Ange Napoléon ; Møller, Jesper.
I: Journal of Computational and Graphical Statistics, Bind 28, Nr. 3, 2019, s. 671-681.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

TY - JOUR

T1 - The accumulated persistence function, a new useful functional summary statistic for topological data analysis, with a view to brain artery trees and spatial point process applications.

AU - Biscio, Christophe Ange Napoléon

AU - Møller, Jesper

PY - 2019

Y1 - 2019

KW - Clustering

KW - Confidence region

KW - Functional boxplot

KW - Global rank envelope

KW - Persistent homology

KW - Two-sample test

UR - http://www.scopus.com/inward/record.url?scp=85065210781&partnerID=8YFLogxK

U2 - 10.1080/10618600.2019.1573686

DO - 10.1080/10618600.2019.1573686

M3 - Journal article

SN - 1061-8600

VL - 28

SP - 671

EP - 681

JO - Journal of Computational and Graphical Statistics

JF - Journal of Computational and Graphical Statistics

IS - 3

ER -

The accumulated persistence function, a new useful functional summary statistic for topological data analysis, with a view to brain artery trees and spatial point process applications.

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The Accumulated Persistence Function, a New Useful Functional Summary Statistic for Topological Data Analysis, With a View to Brain Artery Trees and Spatial Point Process Applications

The Accumulated Persistence Function, a New Useful Functional Summary Statistic for Topological Data Analysis, With a View to Brain Artery Trees and Spatial Point Process Applications

The accumulated persistence function, a new useful functional summary statistic for topological data analysis, with a view to brain artery trees and spatial point process applications

Citationsformater