A Topological Approach of Clustering

Rafik Abdesselam ()
Additional contact information
Rafik Abdesselam: Department of Economics and Management, University of Lyon, Lumière Lyon 2, ERIC - COACTIS Laboratories

Chapter Chapter 22 in Quantitative Demography and Health Estimates, 2023, pp 289-302 from Springer

Abstract: Abstract The clustering of objects-individuals is one of the most widely used approaches to exploring multidimensional data. The two common unsupervised clustering strategies are Hierarchical Ascending Clustering (HAC) and k-means partitioning used to identify groups of similar objects in a dataset to divide it into homogeneous groups. The proposed topological approach of clustering, called Topological Clustering of Individuals (TCI), studies a homogeneous set of individuals-rows of a data table, based on the notion of neighborhood graphs; the columns-variables are more-or-less correlated or linked according to whether the variable is of a quantitative or qualitative type. It enables topological analysis of the clustering of individual variables which can be quantitative, qualitative or a mixture of the two. It first analyzes the correlations or associations observed between the variables in the topological context of principal component analysis (PCA) or multiple correspondence analysis (MCA), depending on the type of variable, then classifies individuals into homogeneous groups relative to the structure of the variables considered. The proposed TCI method is presented and illustrated here using a simple real dataset with quantitative variables; however, it can also be applied with qualitative or mixed variables.

Keywords: Hierarchical clustering; Proximity measure; Neighborhood graph; Adjacency matrix; Multivariate data analysis (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:ssdmcp:978-3-031-28697-1_22

Ordering information: This item can be ordered from
http://www.springer.com/9783031286971

DOI: 10.1007/978-3-031-28697-1_22

Access Statistics for this chapter

More chapters in The Springer Series on Demographic Methods and Population Analysis from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().