F-transform and Dimensionality Reduction: Common and Different

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA2002048" target="_blank" >RIV/61988987:17610/19:A2002048 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007/978-3-030-19494-9_25" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-030-19494-9_25</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-19494-9_25" target="_blank" >10.1007/978-3-030-19494-9_25</a>

Result language
angličtina
Original language name
F-transform and Dimensionality Reduction: Common and Different
Original language description
This contribution is focused on the connection between two theories: dimensionality reduction and the F-transform. We show how the graph Laplacian can be extracted from a fuzzy partition and how the Laplacian eigenmaps can be associated with the F-transform components in their functional forms. We analyse the spectrum of the graph Laplacian and its dependence on basic functions in a fuzzy partition. We support our theoretical results by numerical experiments.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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