Fuzzy Partitions and Multi-Scale Representation of 1D Data
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA2302APJ" target="_blank" >RIV/61988987:17610/21:A2302APJ - isvavai.cz</a>
Result on the web
<a href="https://www.atlantis-press.com/proceedings/ifsa-eusflat-agop-21/125960381" target="_blank" >https://www.atlantis-press.com/proceedings/ifsa-eusflat-agop-21/125960381</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2991/asum.k.210827.021" target="_blank" >10.2991/asum.k.210827.021</a>
Alternative languages
Result language
angličtina
Original language name
Fuzzy Partitions and Multi-Scale Representation of 1D Data
Original language description
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.
Czech name
—
Czech description
—
Classification
Type
D - Article in proceedings
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
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)
ISBN
978-94-6239-423-0
ISSN
2589-6644
e-ISSN
—
Number of pages
5
Pages from-to
153-157
Publisher name
Atlantis Press International B.V.
Place of publication
—
Event location
Bratislava
Event date
Sep 19, 2021
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
—