Symbolic computing of LS-SVM based models

S. Mehrkanoon; L. Jiang; C. Alzate; J. A.K. Suykens

Symbolic computing of LS-SVM based models

S. Mehrkanoon^*
, L. Jiang
, C. Alzate
, J. A.K. Suykens

^*Corresponding author for this work

KU Leuven

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

This paper introduces a software tool SYM-LS-SVM-SOLVER written in Maple to derive the dual system and the dual model representation of LS-SVM based models, symbolically. SYM-LS-SVM-SOLVER constructs the Lagrangian from the given objective function and list of constraints. Afterwards it obtains the KKT (Karush-Kuhn-Tucker) optimality conditions and finally formulates a linear system in terms of the dual variables. The effectiveness of the developed solver is illustrated by applying it to a variety of problems involving LS-SVM based models.

Original language	English
Title of host publication	ESANN 2011 - 19th European Symposium on Artificial Neural Networks
Publisher	ESANN (i6doc.com)
Pages	183-188
Number of pages	6
ISBN (Electronic)	9782874190445
Publication status	Published - 2011
Event	19th European Symposium on Artificial Neural Networks, ESANN 2011 - Bruges, Belgium Duration: 27 Apr 2011 → 29 Apr 2011

Publication series

Name	ESANN 2011 - 19th European Symposium on Artificial Neural Networks

Conference

Conference	19th European Symposium on Artificial Neural Networks, ESANN 2011
Country/Territory	Belgium
City	Bruges
Period	27/04/11 → 29/04/11

Bibliographical note

Funding Information:
∗This work was supported by GOA/10/09 MaNet , CoE EF/05/006 (OPTEC), FWO: G0226.06, G.0302.07, G.0588.09, SBO POM, IUAP P6/04 (DYSCO, 2007-2011). Carlos Alzate is a postdoctoral fellow of the Research Foundation - Flanders (FWO). Johan Suykens is a professor at the K.U.Leuven, Belgium.

Funding Information:
This work was supported by GOA/10/09 MaNet, CoE EF/05/006 (OPTEC), FWO: G0226.06, G.0302.07, G.0588.09, SBO POM, IUAP P6/04 (DYSCO, 2007-2011). Carlos Alzate is a postdoctoral fellow of the Research Foundation - Flanders (FWO). Johan Suykens is a professor at the K.U.Leuven, Belgium.

Publisher Copyright:
© European Symposium on Artificial Neural Networks. All rights reserved.

Cite this

@inproceedings{3873fe1785a748b5b6aeaff0cc589b4b,

title = "Symbolic computing of LS-SVM based models",

abstract = "This paper introduces a software tool SYM-LS-SVM-SOLVER written in Maple to derive the dual system and the dual model representation of LS-SVM based models, symbolically. SYM-LS-SVM-SOLVER constructs the Lagrangian from the given objective function and list of constraints. Afterwards it obtains the KKT (Karush-Kuhn-Tucker) optimality conditions and finally formulates a linear system in terms of the dual variables. The effectiveness of the developed solver is illustrated by applying it to a variety of problems involving LS-SVM based models.",

author = "S. Mehrkanoon and L. Jiang and C. Alzate and Suykens, \{J. A.K.\}",

note = "Funding Information: ∗This work was supported by GOA/10/09 MaNet , CoE EF/05/006 (OPTEC), FWO: G0226.06, G.0302.07, G.0588.09, SBO POM, IUAP P6/04 (DYSCO, 2007-2011). Carlos Alzate is a postdoctoral fellow of the Research Foundation - Flanders (FWO). Johan Suykens is a professor at the K.U.Leuven, Belgium. Funding Information: This work was supported by GOA/10/09 MaNet, CoE EF/05/006 (OPTEC), FWO: G0226.06, G.0302.07, G.0588.09, SBO POM, IUAP P6/04 (DYSCO, 2007-2011). Carlos Alzate is a postdoctoral fellow of the Research Foundation - Flanders (FWO). Johan Suykens is a professor at the K.U.Leuven, Belgium. Publisher Copyright: {\textcopyright} European Symposium on Artificial Neural Networks. All rights reserved.; 19th European Symposium on Artificial Neural Networks, ESANN 2011 ; Conference date: 27-04-2011 Through 29-04-2011",

year = "2011",

language = "English",

series = "ESANN 2011 - 19th European Symposium on Artificial Neural Networks",

publisher = "ESANN (i6doc.com)",

pages = "183--188",

booktitle = "ESANN 2011 - 19th European Symposium on Artificial Neural Networks",

}

Symbolic computing of LS-SVM based models. / Mehrkanoon, S.; Jiang, L.; Alzate, C. et al.
ESANN 2011 - 19th European Symposium on Artificial Neural Networks. ESANN (i6doc.com), 2011. p. 183-188 (ESANN 2011 - 19th European Symposium on Artificial Neural Networks).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Symbolic computing of LS-SVM based models

AU - Mehrkanoon, S.

AU - Jiang, L.

AU - Alzate, C.

AU - Suykens, J. A.K.

N1 - Funding Information: ∗This work was supported by GOA/10/09 MaNet , CoE EF/05/006 (OPTEC), FWO: G0226.06, G.0302.07, G.0588.09, SBO POM, IUAP P6/04 (DYSCO, 2007-2011). Carlos Alzate is a postdoctoral fellow of the Research Foundation - Flanders (FWO). Johan Suykens is a professor at the K.U.Leuven, Belgium. Funding Information: This work was supported by GOA/10/09 MaNet, CoE EF/05/006 (OPTEC), FWO: G0226.06, G.0302.07, G.0588.09, SBO POM, IUAP P6/04 (DYSCO, 2007-2011). Carlos Alzate is a postdoctoral fellow of the Research Foundation - Flanders (FWO). Johan Suykens is a professor at the K.U.Leuven, Belgium. Publisher Copyright: © European Symposium on Artificial Neural Networks. All rights reserved.

PY - 2011

Y1 - 2011

N2 - This paper introduces a software tool SYM-LS-SVM-SOLVER written in Maple to derive the dual system and the dual model representation of LS-SVM based models, symbolically. SYM-LS-SVM-SOLVER constructs the Lagrangian from the given objective function and list of constraints. Afterwards it obtains the KKT (Karush-Kuhn-Tucker) optimality conditions and finally formulates a linear system in terms of the dual variables. The effectiveness of the developed solver is illustrated by applying it to a variety of problems involving LS-SVM based models.

AB - This paper introduces a software tool SYM-LS-SVM-SOLVER written in Maple to derive the dual system and the dual model representation of LS-SVM based models, symbolically. SYM-LS-SVM-SOLVER constructs the Lagrangian from the given objective function and list of constraints. Afterwards it obtains the KKT (Karush-Kuhn-Tucker) optimality conditions and finally formulates a linear system in terms of the dual variables. The effectiveness of the developed solver is illustrated by applying it to a variety of problems involving LS-SVM based models.

UR - https://www.scopus.com/pages/publications/85088925090

M3 - Conference contribution

AN - SCOPUS:85088925090

T3 - ESANN 2011 - 19th European Symposium on Artificial Neural Networks

SP - 183

EP - 188

BT - ESANN 2011 - 19th European Symposium on Artificial Neural Networks

PB - ESANN (i6doc.com)

T2 - 19th European Symposium on Artificial Neural Networks, ESANN 2011

Y2 - 27 April 2011 through 29 April 2011

ER -

Symbolic computing of LS-SVM based models

Abstract

Publication series

Conference

Bibliographical note

Other files and links

Fingerprint

Cite this