Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 492, Pages 101–103
DOI: https://doi.org/10.31857/S2686954320030236 (Mi danma82) 		 
INFORMATICS

On some factorizations of semi-metric cones and quality estimates of heuristic metrics in data analysis problems

K. V. Rudakovab

a Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russian Federation
b Center of Big Data Storage and Analysis Technology, Lomonosov Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.31857/S2686954320030236
Abstract: An approach is proposed to consider heuristic metrics introduced and used in data analysis problems. In the approach, the entire information on pairwise distances expressed by numerical values is reduced to information on a metric belonging as a point of a semi-metric cone to corresponding subcones, which are elements of factor sets for proposed relations of kernel equivalences for mappings into formal index families.
Keywords: smart data analysis, artificial intelligence, big data, semi-metric cone, heuristic metrics, quality estimates of metrics.
Funding agency Grant number
Russian Foundation for Basic Research 18–07–00741
Ministry of Education and Science of the Russian Federation
This work was performed at the Dorodnicyn Computing Center of the Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences in the course of the research “Mathematical Foundations of Smart Big Data Analysis” conducted at the Center of Big Data Storage and Analysis Technology of Lomonosov Moscow State University and was supported by the Russian Foundation for Basic Research, project no. 18-07-00741.
Received: 09.04.2020
Revised: 09.04.2020
Accepted: 09.04.2020
English version:
Doklady Mathematics, 2020, Volume 101, Issue 3, Pages 257–258
DOI: https://doi.org/10.1134/S1064562420030230
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: K. V. Rudakov, “On some factorizations of semi-metric cones and quality estimates of heuristic metrics in data analysis problems”, Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020), 101–103; Dokl. Math., 101:3 (2020), 257–258
Citation in format AMSBIB
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\transl
\jour Dokl. Math.
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