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., 2018, Volume 11, Issue 3,Pages <nobr>322

New method to determine topology of low-dimension manifold approximating multidimensional data sets

Michael G. Sadovsky^a, Anatoly N. Ostylovsky^b

^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

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.

UDC: 57:015 + 573.2

Received: 10.01.2017
Received in revised form: 06.11.2017
Accepted: 05.03.2018

Language: English

DOI: 10.17516/1997-1397-2018-11-3-322-328