About: Near Neighbor Distribution in Fractal and Finite Sets     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

AttributesValues
rdf:type
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.
  • 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. (en)
Title
  • Near Neighbor Distribution in Fractal and Finite Sets
  • Near Neighbor Distribution in Fractal and Finite Sets (en)
skos:prefLabel
  • Near Neighbor Distribution in Fractal and Finite Sets
  • Near Neighbor Distribution in Fractal and Finite Sets (en)
skos:notation
  • RIV/67985807:_____/11:00365540!RIV12-AV0-67985807
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0567), Z(AV0Z10300504)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 215241
http://linked.open...ai/riv/idVysledku
  • RIV/67985807:_____/11:00365540
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • nearest neighbor; fractal set; multifractal; Erlang distribution (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [9D83B65384BF]
http://linked.open...v/mistoKonaniAkce
  • Dalian
http://linked.open...i/riv/mistoVydani
  • Piscataway
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the 2011 International Conference of Soft Computing and Pattern Recognition SocPaR
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Jiřina, Marcel
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://bibframe.org/vocab/doi
  • 10.1109/SoCPaR.2011.6089286
http://purl.org/ne...btex#hasPublisher
  • IEEE
https://schema.org/isbn
  • 978-1-4577-1195-4
Faceted Search & Find service v1.16.118 as of Jun 21 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3240 as of Jun 21 2024, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (126 GB total memory, 48 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software