Near Neighbor Distribution in Fractal and Finite Sets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F11%3A00365540" target="_blank" >RIV/67985807:_____/11:00365540 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/SoCPaR.2011.6089286" target="_blank" >http://dx.doi.org/10.1109/SoCPaR.2011.6089286</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/SoCPaR.2011.6089286" target="_blank" >10.1109/SoCPaR.2011.6089286</a>

Result language
angličtina
Original language name
Near Neighbor Distribution in Fractal and Finite Sets
Original language description
Distances of several nearest neighbors of a given point in a multidimensional space play important role in some tasks of data mining. Here we analyze these distances analyzed 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 Erlang distribution of order k. We also show 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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Project
<a href="/en/project/1M0567" target="_blank" >1M0567: Centre for Applied Cybernetics</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 2011 International Conference of Soft Computing and Pattern Recognition SocPaR
ISBN
978-1-4577-1195-4
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
452-457
Publisher name
IEEE
Place of publication
Piscataway
Event location
Dalian
Event date
Oct 14, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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