Dimensionality Reduction and Its F-Transform Representation

DOI

10.2991/eusflat-19.2019.114How to use a DOI?

Keywords

F-transform Graph Laplacian Dimensionality reduction

Abstract

The aim of this contribution is to connect two techniques: the F-transform on a space with a fuzzy partition and dimensionality reduction. We show how a space with a fuzzy partition can be characterized in terms of the graph Laplacian. After making the spectral analysis of the corresponding Laplacian matrix we compute its eigenvectors and show their relevance to the F-transform basic functions.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Jiří Janeček
AU  - Irina Perfilieva
PY  - 2019/08
DA  - 2019/08
TI  - Dimensionality Reduction and Its F-Transform Representation
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 835
EP  - 842
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.114
DO  - 10.2991/eusflat-19.2019.114
ID  - Janeček2019/08
ER  -