Skip to main content
main-content
Top

Hint

Swipe to navigate through the chapters of this book

2018 | OriginalPaper | Chapter

A Survey of Topological Data Analysis (TDA) Methods Implemented in Python

Authors: Jeffrey Ray, Marcello Trovati

Published in: Advances in Intelligent Networking and Collaborative Systems

Publisher: Springer International Publishing

share
SHARE

Abstract

The aim of this paper is to provide an overview of the current Python implementation to address a variety of topics in Topological Data Analysis, which include Persistent Homology, Manifold Learning and Mapper. We will discuss the effectiveness of each process based upon existing literature where TDA has been investigated. The purpose of this work is to inform future research efforts focusing on the implementation of TDA methods for managing and discovering, patterns, and trends for Big Data.

To get access to this content you need the following product:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 69.000 Bücher
  • über 500 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Testen Sie jetzt 15 Tage kostenlos.

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 50.000 Bücher
  • über 380 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




Testen Sie jetzt 15 Tage kostenlos.

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 58.000 Bücher
  • über 300 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Testen Sie jetzt 15 Tage kostenlos.

Literature
1.
go back to reference Wang, L., Wang, G., Alexander, C.A.: Big data and visualization: methods, challenges and technology progress. Digit. Technol. Digit. Technol. 1(1), 33–38 (2015) Wang, L., Wang, G., Alexander, C.A.: Big data and visualization: methods, challenges and technology progress. Digit. Technol. Digit. Technol. 1(1), 33–38 (2015)
4.
go back to reference Edelsbrunner, H., Harer, J.: Computational Topology: An Introduction. American Mathematical Society, New York (2010) MATH Edelsbrunner, H., Harer, J.: Computational Topology: An Introduction. American Mathematical Society, New York (2010) MATH
6.
go back to reference Coudriau, M., Lahmadi, A., Francois, J.: Topological analysis and visualisation of network monitoring data: darknet case study. In: 2016 IEEE International Workshop on Information Forensics and Security (WIFS), pp. 1–6 (2016) Coudriau, M., Lahmadi, A., Francois, J.: Topological analysis and visualisation of network monitoring data: darknet case study. In: 2016 IEEE International Workshop on Information Forensics and Security (WIFS), pp. 1–6 (2016)
9.
go back to reference MLWave: kepler-mapper: KeplerMapper is a Python Class for Visualization of High-Dimensional Data and 3-D Point Cloud Data. kepler-mapper (2017) MLWave: kepler-mapper: KeplerMapper is a Python Class for Visualization of High-Dimensional Data and 3-D Point Cloud Data. kepler-mapper (2017)
10.
go back to reference Scikit-learn: machine learning in Python scikit-learn 0.18.1 documentation (2017) Scikit-learn: machine learning in Python scikit-learn 0.18.1 documentation (2017)
11.
go back to reference Rucco, M., Falsetti, L., Herman, D., Petrossian, T., Merelli, E., Nitti, C., Salvi, A.: Using topological data analysis for diagnosis pulmonary embolism. Phys. Q-Bio (2014). arXiv14095020 Rucco, M., Falsetti, L., Herman, D., Petrossian, T., Merelli, E., Nitti, C., Salvi, A.: Using topological data analysis for diagnosis pulmonary embolism. Phys. Q-Bio (2014). arXiv14095020
13.
go back to reference Goodman, J.E.: Surveys on Discrete and Computational Geometry: Twenty Years Later: AMS-IMS-SIAM Joint Summer Research Conference. American Mathematical Society (2008) Goodman, J.E.: Surveys on Discrete and Computational Geometry: Twenty Years Later: AMS-IMS-SIAM Joint Summer Research Conference. American Mathematical Society (2008)
14.
go back to reference Edelsbrunner, H., Letscher, D., Zomorodian, A.: Topological persistence and simplification. In: Proceedings 41st Annual Symposium on Foundations of Computer Science, pp. 454–463 (2000) Edelsbrunner, H., Letscher, D., Zomorodian, A.: Topological persistence and simplification. In: Proceedings 41st Annual Symposium on Foundations of Computer Science, pp. 454–463 (2000)
17.
go back to reference Singh, G., Memoli, F., Carlsson, G.: Mapper: a topological mapping tool for point cloud data. In: Eurographics Symposium on Point-Based Graphics (1991) Singh, G., Memoli, F., Carlsson, G.: Mapper: a topological mapping tool for point cloud data. In: Eurographics Symposium on Point-Based Graphics (1991)
18.
go back to reference Müllner, D., Babu, A.: Python Mapper: an open-source toolchain for data exploration, analysis, and visualisation. Stanf, Edumuellnermapper (2013) Müllner, D., Babu, A.: Python Mapper: an open-source toolchain for data exploration, analysis, and visualisation. Stanf, Edumuellnermapper (2013)
20.
go back to reference Chow, Y.Y.: Application of Data Analytics to Cyber Forensic Data A Major Qualifying Project Report. MITRE Corporation, McLean (2016) Chow, Y.Y.: Application of Data Analytics to Cyber Forensic Data A Major Qualifying Project Report. MITRE Corporation, McLean (2016)
21.
go back to reference Giesen, J., Cazals, F., Pauly, M., Zomorodian, A.: The conformal alpha shape filtration. Vis. Comput. 22(8), 531–540 (2006) CrossRef Giesen, J., Cazals, F., Pauly, M., Zomorodian, A.: The conformal alpha shape filtration. Vis. Comput. 22(8), 531–540 (2006) CrossRef
Metadata
Title
A Survey of Topological Data Analysis (TDA) Methods Implemented in Python
Authors
Jeffrey Ray
Marcello Trovati
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-65636-6_54

Premium Partner