Laplacian Singular Values

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA2202BJQ" target="_blank" >RIV/61988987:17610/21:A2202BJQ - isvavai.cz</a>
Result on the web
<a href="https://www.atlantis-press.com/proceedings/ifsa-eusflat-agop-21/125960424" target="_blank" >https://www.atlantis-press.com/proceedings/ifsa-eusflat-agop-21/125960424</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2991/asum.k.210827.019" target="_blank" >10.2991/asum.k.210827.019</a>

Result language
angličtina
Original language name
Laplacian Singular Values
Original language description
In this contribution, we focus on extending the Laplacian processing used in data-driven dimensionality reduction based on weighted graphs by incorporating the concept of singular value decomposition. We indicate a novel point of view on generalized eigenvalue problem by pointing out geometric meaning of factorization matrices. We demonstrate that classical eigenvalue problem of normalized Laplacian, generalized eigenvalue problem of pure Laplacian and singular value decomposition of specific altered Laplacian form are mutually equivalent problems and discuss some of its theoretical implications.
Czech name
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Czech description
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Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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
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Number of pages
5
Pages from-to
142-146
Publisher name
Atlantis Press International B.V.
Place of publication
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Event location
Bratislava
Event date
Sep 19, 2021
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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