KFU. Card publication. Necessary and sufficient conditions for emptiness of the cones of generalized support vectors

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

NECESSARY AND SUFFICIENT CONDITIONS FOR EMPTINESS OF THE CONES OF GENERALIZED SUPPORT VECTORS

Form of presentation

Articles in international journals and collections

Year of publication

2015

��

��

Authors, employees of KFU

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. - 2015. - Vol.9, Is.4. - P.693-729. (WOS)

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, Variational inequality, Minkowski difference of sets, Degeneracy analysis, Decomposition, Parallel computing

The name of the journal

Optimization Letters

URL

http://www.scopus.com/inward/record.url?eid=2-s2.0-84925290505&partnerID=MN8TOARS

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=148850&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Gabidullina Zulfiya Ravilevna	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/eng/?p_id=148850&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	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	Articles in international journals and collections	ru_RU