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How Does the Space Where E-Golem Walks Looks Like

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21460%2F05%3A12109132" target="_blank" >RIV/68407700:21460/05:12109132 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    How Does the Space Where E-Golem Walks Looks Like

  • Original language description

    The paper deals with nature of multivariate data space. It is shown that the geometry of multivariate space is rather strange from some points of view. This strange geometry is best visible on the problem of e-Golem looking around him. He will find thatwhat is near and far in two or three-dimensional space may be much different from what it is possible to see in multivariate space, i.e. distance from particular point changes its nature with dimension. He also finds that in the data set of reasonable size in high dimension all or nearly all points are influenced by famous boundary effect. All these findings are worse when e Golem leaves Euclidean space and tries to live in space with L1 metric. It is shown in this paper that for a uniform distributionof points in an n-dimensional Euclidean space the distribution of the distance of the i-th nearest neighbor to the n-power has Erlang distribution.

  • Czech name

    Není k dispozici

  • Czech description

    Příspěvek se zamýšlí nad relativním vnímáním prostor vysoké dimenze a diskutuje problém nejbližších sousedů. Diskutuje také problém okrajového jevu, který je zvlášť významný, pokud je prostor vysocedimenzionální.

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BD - Information theory

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2005

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Interdisciplinary Aspects of Human-Machine Co-existence and Co-operation

  • ISBN

    80-01-03275-2

  • ISSN

  • e-ISSN

  • Number of pages

    9

  • Pages from-to

    271-279

  • Publisher name

    Vydavatelství ČVUT

  • Place of publication

    Praha

  • Event location

    Praha

  • Event date

    Jul 3, 2005

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article