| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2015 |
| Язык | английский |
|
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. - 2015. - Vol.9, Is.4. - P.693-729. (WOS) |
| 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, Variational inequality, Minkowski difference
of sets, Degeneracy analysis, Decomposition, Parallel computing |
| Название журнала |
Optimization Letters
|
| URL |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84925290505&partnerID=MN8TOARS |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=148850 |
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Габидуллина Зульфия Равилевна |
ru_RU |
| dc.date.accessioned |
2015-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2015-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2015 |
ru_RU |
| dc.identifier.citation |
Gabidullina Z.R., Necessary and sufficient conditions for emptiness of the cones of generalized support vectors//Optimization Letters. - 2015. - Vol.9, Is.4. - P.693-729. (WOS) |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=148850 |
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 |
Variational inequality |
ru_RU |
| dc.subject |
Minkowski difference
of sets |
ru_RU |
| dc.subject |
Degeneracy analysis |
ru_RU |
| dc.subject |
Decomposition |
ru_RU |
| dc.subject |
Parallel computing |
ru_RU |
| dc.title |
Necessary and sufficient conditions for emptiness of the cones of generalized support vectors |
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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