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Journal of Siberian Federal University. Mathematics & Physics, 2018, Volume 11, Issue 3, Pages 322–328
DOI: https://doi.org/10.17516/1997-1397-2018-11-3-322-328 (Mi jsfu677) 		 
New method to determine topology of low-dimension manifold approximating multidimensional data sets

Michael G. Sadovskya, Anatoly N. Ostylovskyb

a Institute of Computational Modelling RAS SB, Academgorodok, 50/44 Krasnoyarsk, 660036, Russia
b Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
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DOI: https://doi.org/10.17516/1997-1397-2018-11-3-322-328
Abstract: New method is proposed to identify topology of a low-dimensional manifold approximating multidimensional datasets. The method is based on the implementation of the compliment for the discrete set of data. Some essential properties and constraints of the method are discussed.
Keywords: order, complexity, clusterization, complement, surface genius.
Received: 10.01.2017
Received in revised form: 06.11.2017
Accepted: 05.03.2018
Bibliographic databases:
Document Type: Article
UDC: 57:015 + 573.2
Language: English
Citation: Michael G. Sadovsky, Anatoly N. Ostylovsky, “New method to determine topology of low-dimension manifold approximating multidimensional data sets”, J. Sib. Fed. Univ. Math. Phys., 11:3 (2018), 322–328
Citation in format AMSBIB
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\by Michael~G.~Sadovsky, Anatoly~N.~Ostylovsky
\paper New method to determine topology of low-dimension manifold approximating multidimensional data sets
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 3
\pages 322--328
\mathnet{http://mi.mathnet.ru/jsfu677}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-3-322-328}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000442257300001}
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