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Kód výsledku v 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>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

How Does the Space Where E-Golem Walks Looks Like

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

How Does the Space Where E-Golem Walks Looks Like

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

BD - Teorie informace

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2005

Kód důvěrnosti údajů

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

Název statě ve sborníku

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

ISBN

80-01-03275-2

ISSN

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e-ISSN

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Počet stran výsledku

9

Strana od-do

271-279

Název nakladatele

Vydavatelství ČVUT

Místo vydání

Praha

Místo konání akce

Praha

Datum konání akce

3. 7. 2005

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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