SOM in Hilbert Space
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00333216" target="_blank" >RIV/68407700:21340/19:00333216 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.14311/NNW.2019.29.002" target="_blank" >https://doi.org/10.14311/NNW.2019.29.002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14311/NNW.2019.29.002" target="_blank" >10.14311/NNW.2019.29.002</a>
Alternative languages
Result language
angličtina
Original language name
SOM in Hilbert Space
Original language description
The self organization can be performed in an Euclidean space as usually denned or in any metric space which is generalization of previous one. Both approaches have advantages and disadvantages. A novel method of batch SOM learning is designed to yield from the properties of the Hilbert space. This method is able to operate with finite or infinite dimensional patterns from vector space using only their scalar product. The paper is focused on the formulation of objective function and algorithm for its local minimization in a discrete space of partitions. General methodology is demonstrated on pattern sets from a space of functions.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Neural Network World
ISSN
1210-0552
e-ISSN
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Volume of the periodical
29
Issue of the periodical within the volume
1
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
13
Pages from-to
19-31
UT code for WoS article
000467936400002
EID of the result in the Scopus database
2-s2.0-85064400630