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Three Methods of Data Analysis in a Space with Closeness

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA21027JO" target="_blank" >RIV/61988987:17610/20:A21027JO - isvavai.cz</a>

  • Result on the web

    <a href="http://www.worldscientific.com/doi/abs/10.1142/9789811223334_0114" target="_blank" >http://www.worldscientific.com/doi/abs/10.1142/9789811223334_0114</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1142/9789811223334_0114" target="_blank" >10.1142/9789811223334_0114</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Three Methods of Data Analysis in a Space with Closeness

  • Original language description

    Three techniques of data analysis are examined: dimensionality reduction, locally linear embedding and the F-transform. We show that all of them can be connected using the notion of a fuzzy partition and the corresponding construction of a non-local Laplace operator. The article is endowed with results of two comprehensible numerical experiments that compare achieved outputs. An important conclusion is that the outputs correspond to values of the first degree F-transform components.

  • 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

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Developments of Artificial Intelligence Technologies in Computation and Robotics

  • ISBN

    978-981-122-332-7

  • ISSN

  • e-ISSN

  • Number of pages

    9

  • Pages from-to

    947-955

  • Publisher name

    World Scientific Publishing Co. Pte. Ltd.

  • Place of publication

    Singapore

  • Event location

    Cologne

  • Event date

    Aug 18, 2020

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article