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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

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

  • Czech description

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

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

  • 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

  • EID of the result in the Scopus database