Near Neighbor Distribution in Sets of Fractal Nature
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F13%3A00420987" target="_blank" >RIV/67985807:_____/13:00420987 - isvavai.cz</a>
Result on the web
<a href="http://www.mirlabs.org/ijcisim/regular_papers_2013/Paper91.pdf" target="_blank" >http://www.mirlabs.org/ijcisim/regular_papers_2013/Paper91.pdf</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Near Neighbor Distribution in Sets of Fractal Nature
Original language description
Distances of several nearest neighbors of a given point in a multidimensional space play an important role in some tasks of data mining. Here we analyze these distances as random variables defined to be functions of a given point and its k-th nearest neighbor. We prove that if there is a constant q such that the mean k-th neighbor distance to this constant power is proportional to the near neighbor index k then its distance to this constant power converges to the Erlang distribution of order k. We alsoshow that constant q is the scaling exponent known from the theory of multifractals.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Result continuities
Project
<a href="/en/project/LG12020" target="_blank" >LG12020: Advanced statistical analysis and non-statistical separation techniques for physical processing detection in data sets sampled by means of elementary particle accelerators.</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Computer Information Systems and Industrial Management Applications
ISSN
2150-7988
e-ISSN
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Volume of the periodical
5
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
8
Pages from-to
159-166
UT code for WoS article
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EID of the result in the Scopus database
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