| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2014 |
| Язык | русский |
|
Габидуллина Зульфия Равилевна, автор
|
| Библиографическое описание на языке оригинала |
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) |
| Аннотация |
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.
|
| Ключевые слова |
Cone of generalized strong (strict) support vectors, Linear separability criterion, Strong (strict) linear
separability, Minkowskii difference of sets, Degeneracy
analysis, Decomposition, Coordination, Parallel
Computing |
| Название журнала |
Optimization Letters
|
| URL |
http://link.springer.com/article/10.1007/s11590-014-0771-5 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=93461 |
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Габидуллина Зульфия Равилевна |
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/?p_id=93461 |
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 |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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