CORE
🇺🇦
make metadata, not war
Services
Services overview
Explore all CORE services
Access to raw data
API
Dataset
FastSync
Content discovery
Recommender
Discovery
OAI identifiers
OAI Resolver
Managing content
Dashboard
Bespoke contracts
Consultancy services
Support us
Support us
Membership
Sponsorship
Community governance
Advisory Board
Board of supporters
Research network
About
About us
Our mission
Team
Blog
FAQs
Contact us
Simplicial complexes and complex systems
Authors
D Cassese
R Lambiotte
V Salnikov
Publication date
20 July 2018
Publisher
European Journal of Physics
Doi
Cite
View
on
arXiv
Abstract
© 2018 European Physical Society. We provide a short introduction to the field of topological data analysis (TDA) and discuss its possible relevance for the study of complex systems. TDA provides a set of tools to characterise the shape of data, in terms of the presence of holes or cavities between the points. The methods, based on the notion of simplicial complexes, generalise standard network tools by naturally allowing for many-body interactions and providing results robust under continuous deformations of the data. We present strengths and weaknesses of current methods, as well as a range of empirical studies relevant to the field of complex systems, before identifying future methodological challenges to help understand the emergence of collective phenomena
Similar works
Full text
Open in the Core reader
Download PDF
Available Versions
Repository of the University of Namur
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:pure.unamur.be:openaire_cr...
Last time updated on 23/06/2020
Supporting member
Oxford University Research Archive
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:ora.ox.ac.uk:uuid:694b50c9...
Last time updated on 25/11/2020
Oxford University Research Archive (ORA)
See this paper in CORE
Go to the repository landing page
Download from data provider
Last time updated on 18/04/2020
Repository of the University of Namur
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:pure.unamur.be:publication...
Last time updated on 03/09/2019
Sustaining member
Apollo (Cambridge)
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:www.repository.cam.ac.uk:1...
Last time updated on 03/09/2020