Fuzzy Partitions and Multi-Scale Representation of 1D Data

DOI

10.2991/asum.k.210827.021How to use a DOI?

Keywords

Multi-scale representation, Fuzzy partition, Fuzzy transform

Abstract

We analyze various multi-scale representations of a one-dimensional signal in spaces with a closeness relation determined by a symmetric and positive semi-definite kernel. We discuss other kernels than the predominant Gaussian kernel in a scale space representation of a one-dimensional signal. We show that kernels arising from generating functions of fuzzy partitions can be treated with the same success. We also show that the reconstruction from the proposed multi-scale representations of better quality than the reconstruction from MLP with almost double the number of neurons in 4 hidden layers.

Copyright

© 2021, 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/).

Download article (PDF)

TY  - CONF
AU  - Irina Perfilieva
AU  - David Adamczyk
PY  - 2021
DA  - 2021/08/30
TI  - Fuzzy Partitions and Multi-Scale Representation of 1D Data
BT  - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
PB  - Atlantis Press
SP  - 153
EP  - 157
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.021
DO  - 10.2991/asum.k.210827.021
ID  - Perfilieva2021
ER  -