Harin, Alexander (2021): Sub-interval images. Big Data.
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Abstract
A systematic introduction to sub-interval images (or SI-images or S-IIs) is presented here. General outlook of possible use of the SI-analysis for Big Data is given. Basic notions of S-IIs are formulated including cuboids of gravity and sub-interval copies of databases. Two concepts of SII-indexing are proposed for Big Data databases. The S-IIs can be used in, e.g., search, and recognition in databases in, e.g., accounting and audit, micro- and macroeconomics, especially in Big Data databases.
Item Type: | MPRA Paper |
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Original Title: | Sub-interval images. Big Data |
Language: | English |
Keywords: | mathematic; databases; Big Data; utility theory; prospect theory; economics; |
Subjects: | C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General D - Microeconomics > D8 - Information, Knowledge, and Uncertainty |
Item ID: | 110782 |
Depositing User: | Alexander Harin |
Date Deposited: | 22 Nov 2021 21:39 |
Last Modified: | 22 Nov 2021 21:39 |
References: | Harin, А. (2011a) About possible additions to interval arithmetic, X International conference on Financial and Actuarial Mathematics and Eventoconvergence of Technologies, Krasnoyarsk, (2011). Harin, А. (2011b) Ruptures in the probability scale. Interval analysis. International conference "Modern problems of applied mathematics and mechanics" devoted to 90th Anniversary from the birthday of academician N.N.Yanenko, Novosibirsk, (2011). Harin, А. (2011c) Interval analysis of distributions. Interval images of text, music, representations and video information, 54-th Scientific conference of MIPT "Modern problems of fundamental and applied sciences", Moscow, (2011). Harin, А. (2012a) Subinterval analysis. First results. 15th International Symposium on Scientific Computing, Computer Arithmetic and Verified Numerical Computations, Novosibirsk, (2012). Harin, А. (2012b) Sub-interval analysis and possibilities of its use, 55-th Scientific conference of MIPT "Modern problems of fundamental and applied sciences", Moscow, (2012). Harin, А. (2012c) Interval pictures and images. Their use for preliminary analysis and recognition, XIX International conference "Mathematics. Computer. Education", Dubna, (2012). Harin, А. (2012d) About global optimization in subinterval analysis at analog of Lipschitz's condition, XX International conference "Mathematics. Economics. Education", Rostov-na-Donu, (2012). Harin, А. (2020a) Introduction to sub-interval analysis. Estimations for the centers of gravity, MPRA paper 100496. Harin, А. (2020b) Introduction to sub-interval analysis. Sub-interval arithmetic, Applied Mathematical Sciences, Vol. 14, no. 12, 607-620. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/110782 |