Title
Comparison of classical dimensionality reduction methods with novel approach based on formal concept analysis
Abstract
In the paper we deal with dimensionality reduction techniques for a dataset with discrete attributes. Dimensionality reduction is considered as one of the most important problems in data analysis. The main aim of our paper is to show advantages of a novel approach introduced and developed by Belohlavek and Vychodil in comparison of two classical dimensionality reduction methods which can be used for ordinal attributes (CATPCA and factor analysis). The novel technique is fundamentally different from existing ones since it is based on another kind of mathematical apparatus (namely, Galois connections, lattice theory, fuzzy logic). Therefore, this method is able to bring a new insight to examined data. The comparison is accompanied by analysis of two data sets which were obtained by questionnaire survey.
Year
DOI
Venue
2011
10.1007/978-3-642-24425-4_6
RSKT
Keywords
Field
DocType
novel technique,novel approach,data analysis,classical dimensionality reduction method,galois connection,dimensionality reduction technique,formal concept analysis,factor analysis,dimensionality reduction,discrete attribute
Data mining,Data set,Dimensionality reduction,Ordinal number,Computer science,Matrix decomposition,Fuzzy logic,Artificial intelligence,Diffusion map,Formal concept analysis,Principal component analysis,Machine learning
Conference
Volume
ISSN
Citations 
6954.0
0302-9743
6
PageRank 
References 
Authors
0.46
2
3
Name
Order
Citations
PageRank
Eduard Bartl1488.01
Hana Rezanková2569.79
Lukas Sobisek360.46