Exponentially Scaled Point Processes and Data Classification
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F14%3A00430516" target="_blank" >RIV/67985807:_____/14:00430516 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Exponentially Scaled Point Processes and Data Classification
Original language 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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
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
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Advances in Applied and Pure Mathematics. Proceedings of the 2014 International Conference on Pure Mathematics, Applied Mathematics, Computational Methods PMAMCM 2014
ISBN
978-1-61804-240-8
ISSN
2227-4588
e-ISSN
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Number of pages
7
Pages from-to
179-185
Publisher name
WSEAS Press
Place of publication
Athens
Event location
Santorini Island
Event date
Jul 17, 2014
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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