Geodesic
New method to determine topology of low-dimension manifold approximating multidimensional data sets
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 3, pp. 322-328

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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, surface genius.
Mots-clés : complement 
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     author = {Michael G. Sadovsky and Anatoly N. Ostylovsky},
     title = {New method to determine topology of low-dimension manifold approximating multidimensional data sets},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {322--328},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2018_11_3_a7/}
}
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Michael G. Sadovsky; Anatoly N. Ostylovsky. New method to determine topology of low-dimension manifold approximating multidimensional data sets. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 3, pp. 322-328. http://geodesic.mathdoc.fr/item/JSFU_2018_11_3_a7/