About: Exponentially Scaled Point Processes and Data Classification     Goto   Sponge   NotDistinct   Permalink

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Description
  • We use a measure for distances of neighbors’ of a given point that is based on lp metrics and a scaling exponent. We show that if the measure scales with scaling exponent mentioned, then distribution function of this measure converges to Erlang distribution. The scaling of distances is used for design of a classifier. Three variants of classifier are described. The local approach uses local value of scaling exponent. The global method uses the correlation dimension as the scaling exponent. In the IINC method indexes of neighbors of the query point are essential. Results of some experiments are shown and open problems of classification with scaling are discussed.
  • We use a measure for distances of neighbors’ of a given point that is based on lp metrics and a scaling exponent. We show that if the measure scales with scaling exponent mentioned, then distribution function of this measure converges to Erlang distribution. The scaling of distances is used for design of a classifier. Three variants of classifier are described. The local approach uses local value of scaling exponent. The global method uses the correlation dimension as the scaling exponent. In the IINC method indexes of neighbors of the query point are essential. Results of some experiments are shown and open problems of classification with scaling are discussed. (en)
Title
  • Exponentially Scaled Point Processes and Data Classification
  • Exponentially Scaled Point Processes and Data Classification (en)
skos:prefLabel
  • Exponentially Scaled Point Processes and Data Classification
  • Exponentially Scaled Point Processes and Data Classification (en)
skos:notation
  • RIV/67985807:_____/14:00430516!RIV15-AV0-67985807
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  • I, P(LG12020)
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  • 16117
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  • RIV/67985807:_____/14:00430516
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  • multivariate data; nearest neighbor; Erlang distribution; multifractal; scaling exponent; classification; IINC (en)
http://linked.open.../riv/klicoveSlovo
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  • [3667B1458420]
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  • Santorini Island
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  • Athens
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  • Advances in Applied and Pure Mathematics. Proceedings of the 2014 International Conference on Pure Mathematics, Applied Mathematics, Computational Methods PMAMCM 2014
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  • Jiřina, Marcel
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http://linked.open.../riv/zahajeniAkce
issn
  • 2227-4588
number of pages
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  • WSEAS Press
https://schema.org/isbn
  • 978-1-61804-240-8
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