A roadmap for the computation of persistent homology

A roadmap for the computation of persistent homology

<p><i>Persistent homology</i> (PH) is a method used in topological data analysis (TDA) to study qualitative features of data that persist across multiple scales. It is robust to perturbations of input data, independent of dimensions and coordinates, and provides a compact represen...

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Manylion Llyfryddiaeth
Prif Awduron:	Otter, N, Porter, M, Tillmann, U, Grindrod, P, Harrington, H
Fformat:	Journal article
Cyhoeddwyd:	EDP Sciences: EPJ Open Access 2017

Eitemau Tebyg

A roadmap for the computation of persistent homology
gan: Nina Otter, et al.
Cyhoeddwyd: (2017-08-01)

Stratifying multiparameter persistent homology
gan: Harrington, H, et al.
Cyhoeddwyd: (2019)

Persistent homology of time-dependent functional networks constructed from coupled time series
gan: Stolz, B, et al.
Cyhoeddwyd: (2017)

Homology of homologous knotted proteins
gan: Benjamin, K, et al.
Cyhoeddwyd: (2023)

Computing Persistent Homology of Directed Flag Complexes
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Cyhoeddwyd: (2020-01-01)

The homology of data
gan: Otter, NL
Cyhoeddwyd: (2018)

Artin's map in stable homology
gan: Tillmann, U
Cyhoeddwyd: (2007)

Configuration-mapping spaces and homology stability
gan: Palmer, M, et al.
Cyhoeddwyd: (2021)

Morse theory for filtrations and efficient computation of persistent homology
gan: Mischaikow, K, et al.
Cyhoeddwyd: (2013)

Computing Persistent Homology by Spanning Trees and Critical Simplices
gan: Dinghua Shi, et al.
Cyhoeddwyd: (2023-01-01)

Homology stability for symmetric diffeomorphism and mapping class groups
gan: Tillmann, U
Cyhoeddwyd: (2015)

Homology stability for symmetric diffeomorphism and mapping class groups
gan: Tillmann, U
Cyhoeddwyd: (2015)

Multiparameter persistent homology landscapes identify immune cell spatial patterns in tumors
gan: Vipond, O, et al.
Cyhoeddwyd: (2021)

Relational persistent homology for multispecies data with application to the tumor microenvironment
gan: Stolz, BJ, et al.
Cyhoeddwyd: (2024)

Roadmap to greener computing /
gan: 574743 Nguemaleu, Raoul-Abelin Choumin, et al.
Cyhoeddwyd: (2014)

THE REPRESENTATION OF THE MAPPING CLASS GROUP OF A SURFACE ON ITS FUNDAMENTAL GROUP IN STABLE HOMOLOGY
gan: Tillmann, U
Cyhoeddwyd: (2010)

The persistent homology of genealogical networks
gan: Zachary M. Boyd, et al.
Cyhoeddwyd: (2023-02-01)

Differential and fiber of persistent homology
gan: Jacob Leygonie
Cyhoeddwyd: (2022)

Multiparameter persistent homology of data
gan: Vipond, O
Cyhoeddwyd: (2021)

Persistence homology of entangled rings
gan: Fabio Landuzzi, et al.
Cyhoeddwyd: (2020-09-01)

Persistent homology classification algorithm
gan: Mark Lexter D. De Lara
Cyhoeddwyd: (2023-01-01)

Persistent Homology Analysis for Solar Magnetograms
gan: P. Santamarina Guerrero, et al.
Cyhoeddwyd: (2024-01-01)

2022 roadmap on neuromorphic computing and engineering
gan: Christensen, DV, et al.
Cyhoeddwyd: (2022)

A computational roadmap to electronic drugs
gan: Andreas Rowald, et al.
Cyhoeddwyd: (2022-10-01)

Computing Workflows for Biologists: A Roadmap.
gan: Ashley Shade, et al.
Cyhoeddwyd: (2015-01-01)

DNA structure identification with persistent homology
gan: Lim, Daniel Wen Sheng
Cyhoeddwyd: (2017)

Fiber of persistent homology on Morse functions
gan: Leygonie, J, et al.
Cyhoeddwyd: (2022)

Persistent homological cell tracking technology
gan: Haruhisa Oda, et al.
Cyhoeddwyd: (2023-07-01)

The persistent homology of mitochondrial ATP synthases
gan: Savar D. Sinha, et al.
Cyhoeddwyd: (2023-05-01)

Persistent homology in graph power filtrations
gan: Allen D. Parks, et al.
Cyhoeddwyd: (2016-01-01)

Persistent Homology applied to location problems
gan: Bennis Driss, et al.
Cyhoeddwyd: (2018-01-01)

Persistence homology of networks: methods and applications
gan: Mehmet E. Aktas, et al.
Cyhoeddwyd: (2019-08-01)

Roadmap to neuromorphic computing with emerging technologies
gan: Adnan Mehonic, et al.
Cyhoeddwyd: (2024-10-01)

Investigating rough single-fracture permeabilities with persistent homology
gan: M. Fuchs, et al.
Cyhoeddwyd: (2024-03-01)

Infinite loop spaces from operads with homological stability
gan: Basterra, M, et al.
Cyhoeddwyd: (2017)

Persistent homology in two-dimensional atomic networks
gan: Morley, DO, et al.
Cyhoeddwyd: (2021)

The Comparison of Diffeomorphic Images Based on the Construction of Persistent Homology
gan: Sergey N. Chukanov
Cyhoeddwyd: (2019-09-01)

Computational homology /
gan: 381894 Kaczynski, Tomasz, et al.
Cyhoeddwyd: (2004)

Outlier-robust subsampling techniques for persistent homology
gan: Stolz, BJ
Cyhoeddwyd: (2023)

Weighted persistent homology for biomolecular data analysis
gan: Meng, Zhenyu, et al.
Cyhoeddwyd: (2021)