| Form of presentation | Articles in international journals and collections |
| Year of publication | 2014 |
| Язык | русский |
|
Gabidullina Zulfiya Ravilevna, author
|
| Bibliographic description in the original language |
Gabidullina Z.R. Necessary and Sufficient Conditions for Emptiness of the Cones of Generalized Support Vectors. Optimization Letters, DOI 10.1007/s11590-014-0771-5, Springer Berlin Heidelberg , ISSN: 1862-4480, Published Online: 1 August 2014, 37 p. Available at
http://link.springer.com/article/10.1007/s11590-014-0771-5
(Impact factor-2014 0,934) |
| Annotation |
The purpose of the paper is to establish the conditions which are necessary and sufficient for the cones of generalized (strong, strict) support vectors of a set in
a finite-dimensional Euclidean space to be empty. In the
present paper, an application of the proposed in J. Optim.
Theory Appl. (2012, DOI 10.1007/s10957-012-0155-x)linear
separability criterion for verification on~emptiness or
non-emptiness of the cones of GSVs (generalized support vectors) is also studied. We carry out the complete degeneracy analysis
of the cones of GSVs for the different kinds of nonempty sets of
Euclidean space. We present the different applications of the
degeneracy analysis of the cones of GSVs as well.
|
| Keywords |
Cone of generalized strong (strict) support vectors, Linear separability criterion, Strong (strict) linear
separability, Minkowskii difference of sets, Degeneracy
analysis, Decomposition, Coordination, Parallel
Computing |
| The name of the journal |
Optimization Letters
|
| URL |
http://link.springer.com/article/10.1007/s11590-014-0771-5 |
| Please use this ID to quote from or refer to the card |
https://repository.kpfu.ru/eng/?p_id=93461&p_lang=2 |
Full metadata record  |
| Field DC |
Value |
Language |
| dc.contributor.author |
Gabidullina Zulfiya Ravilevna |
ru_RU |
| dc.date.accessioned |
2014-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2014-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2014 |
ru_RU |
| dc.identifier.citation |
Gabidullina Z.R. Necessary and Sufficient Conditions for Emptiness of the Cones of Generalized Support Vectors. Optimization Letters, DOI 10.1007/s11590-014-0771-5, Springer Berlin Heidelberg , ISSN: 1862-4480, Published Online: 1 August 2014, 37 p. Available at
http://link.springer.com/article/10.1007/s11590-014-0771-5
(Impact factor-2014 0,934) |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/eng/?p_id=93461&p_lang=2 |
ru_RU |
| dc.description.abstract |
Optimization Letters |
ru_RU |
| dc.description.abstract |
The purpose of the paper is to establish the conditions which are necessary and sufficient for the cones of generalized (strong, strict) support vectors of a set in
a finite-dimensional Euclidean space to be empty. In the
present paper, an application of the proposed in J. Optim.
Theory Appl. (2012, DOI 10.1007/s10957-012-0155-x)linear
separability criterion for verification on~emptiness or
non-emptiness of the cones of GSVs (generalized support vectors) is also studied. We carry out the complete degeneracy analysis
of the cones of GSVs for the different kinds of nonempty sets of
Euclidean space. We present the different applications of the
degeneracy analysis of the cones of GSVs as well.
|
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
Cone of generalized strong (strict) support vectors |
ru_RU |
| dc.subject |
Linear separability criterion |
ru_RU |
| dc.subject |
Strong (strict) linear
separability |
ru_RU |
| dc.subject |
Minkowskii difference of sets |
ru_RU |
| dc.subject |
Degeneracy
analysis |
ru_RU |
| dc.subject |
Decomposition |
ru_RU |
| dc.subject |
Coordination |
ru_RU |
| dc.subject |
Parallel
Computing |
ru_RU |
| dc.title |
Gabidullina Z.R. Necessary and Sufficient Conditions for Emptiness of the Cones of Generalized Support Vectors. Optimization Letters, DOI 10.1007/s11590-014-0771-5, Springer Berlin Heidelberg
|
ru_RU |
| dc.type |
Articles in international journals and collections |
ru_RU |
|
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