Description of the design space by extremal ellipsoids in data representation problems
- Autores: Bedrintsev A.1, Chepyzhov V.1
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Afiliações:
- Kharkevich Institute for Information Transmission Problems
- Edição: Volume 61, Nº 6 (2016)
- Páginas: 688-694
- Seção: Mathematical Models and Computational Methods
- URL: https://journals.rcsi.science/1064-2269/article/view/197049
- DOI: https://doi.org/10.1134/S1064226916060048
- ID: 197049
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Resumo
Problems of description of data sets by constructing the optimum ellipsoid are considered. The optimization problems are formulated as convex programming problems using linear matrix inequalities. The proposed methods are compared with similar methods designed earlier in accordance with two criteria: the volume of the ellipsoid and the number of points in the learning sample, which lie outside the ellipsoid.
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Sobre autores
A. Bedrintsev
Kharkevich Institute for Information Transmission Problems
Autor responsável pela correspondência
Email: alekseybed@phystech.edu
Rússia, Bol’shoi Karetnyi per. 19, str. 1, Moscow, 127051
V. Chepyzhov
Kharkevich Institute for Information Transmission Problems
Autor responsável pela correspondência
Email: chep@iitp.ru
Rússia, Bol’shoi Karetnyi per. 19, str. 1, Moscow, 127051
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