About: Big Bang-Like Phenomenon in Multidimensional Data

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

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Notion of the Big Bang in Data was introduced, when it was observed that the quantity of data grows very fast and the speed of this growth rises with time. This is parallel to the Big Bang of the Universe which expands and the speed of the expansion is the larger the farther the object is, and the expansion is isotropic. We observed another expansion in data embedded in metric space. We found that when distances in data space are polynomially expanded with a proper exponent, the space around any data point displays similar growth that is the larger the larger is the distance. We describe this phenomenon here on the basis of decomposition of the correlation integral. We show that the linear rule holds for logarithm of distance from any data point to another and proportionality constant is the scaling exponent, especially the correlation dimension. After this transformation of distances the data space appears as locally uniform and isotropic. Notion of the Big Bang in Data was introduced, when it was observed that the quantity of data grows very fast and the speed of this growth rises with time. This is parallel to the Big Bang of the Universe which expands and the speed of the expansion is the larger the farther the object is, and the expansion is isotropic. We observed another expansion in data embedded in metric space. We found that when distances in data space are polynomially expanded with a proper exponent, the space around any data point displays similar growth that is the larger the larger is the distance. We describe this phenomenon here on the basis of decomposition of the correlation integral. We show that the linear rule holds for logarithm of distance from any data point to another and proportionality constant is the scaling exponent, especially the correlation dimension. After this transformation of distances the data space appears as locally uniform and isotropic. (en)
Title	Big Bang-Like Phenomenon in Multidimensional Data Big Bang-Like Phenomenon in Multidimensional Data (en)
skos:prefLabel	Big Bang-Like Phenomenon in Multidimensional Data Big Bang-Like Phenomenon in Multidimensional Data (en)
skos:notation	RIV/67985807:_____/14:00427692!RIV15-AV0-67985807
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(LG12020)
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Jiřina, Marcel
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav informatiky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	5245
http://linked.open...ai/riv/idVysledku	RIV/67985807:_____/14:00427692
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Big Bang; scaling; correlation dimension; expansion of distances; polynomial transformation (en)
http://linked.open.../riv/klicoveSlovo	scaling correlation dimension expansion of distances polynomial transformation Big Bang
http://linked.open...ontrolniKodProRIV	[7A325CDE33E1]
http://linked.open...v/mistoKonaniAkce	Dubai
http://linked.open...i/riv/mistoVydani	Wilmington
http://linked.open...i/riv/nazevZdroje	Proceedings of the International Conference on Computing Technology and Information Management ICCTIM 2014
http://linked.open...in/vavai/riv/obor	BB
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Advanced statistical analysis and non-statistical separation techniques for physical processing detection in data sets sampled by means of elementary particle accelerators.
http://linked.open...UplatneniVysledku	2014
http://linked.open...iv/tvurceVysledku	Jiřina, Marcel
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2014-04-09 (xsd:date)
number of pages	8 (xsd:int)
http://purl.org/ne...btex#hasPublisher	SDIWC
https://schema.org/isbn	978-0-9891305-5-4

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