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Ayrıntılı Bilimsel Program ve Bildiri Özetleri - YAEM2010

Ayrıntılı Bilimsel Program ve Bildiri Özetleri - YAEM2010

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YAEM 2010<br />

YÖNEYLEM ARAÞTIRMASI VE ENDÜSTRÝ MÜHENDÝSLÝGI 30. ULUSAL KONGRESÝ<br />

Clusters, today, became one of the popular approaches of the regional<br />

de<strong>ve</strong>lopment. EU initiated specific support programs for cluster<br />

de<strong>ve</strong>lopment projects; besides many countries use cluster related<br />

de<strong>ve</strong>lopment programs in order to support their industrial and service<br />

sectors.<br />

Identification of clusters is one of the important problems that cluster<br />

de<strong>ve</strong>lopers face. Membership, linkages and boundary problems are<br />

some areas that need to be worked on about clusters. Since there is<br />

not analytically de<strong>ve</strong>loped and usable model for cluster identification,<br />

cluster de<strong>ve</strong>lopers use their case-specific models generally. Therefore,<br />

a quantitati<strong>ve</strong> cluster identification model will be <strong>ve</strong>ry useful for the<br />

common use of cluster de<strong>ve</strong>lopers. If such a model can be de<strong>ve</strong>loped,<br />

comparisons of clusters will be possible as well.<br />

The main aim of this study is to de<strong>ve</strong>lop a quantitati<strong>ve</strong> model to<br />

identify clusters. While doing this, the research builds on its approach<br />

on Porter's value system model, uses tools of graph theory and social<br />

network theory.<br />

Relaxing Support Vectors for Classification<br />

1 2 3<br />

Onur Þeref , W. Art Chaovalitwongse , J. Paul Brooks<br />

1 Virginia Tech, Blacksburg, VA, USA<br />

2 Rutgers Uni<strong>ve</strong>rsity, Piscataway, NJ, USA<br />

3 Virginia Commonwealth Uni<strong>ve</strong>rsity, Richmond, VA, USA<br />

Support Vector Machine (SVM) classifiers ha<strong>ve</strong> been de<strong>ve</strong>loped<br />

substantially within the last decade and used extensi<strong>ve</strong>ly in a wide<br />

range of application areas. SVM classifiers are based on a con<strong>ve</strong>x<br />

quadratic optimization model with linear constraints, whose dual<br />

formulation allows nonlinear mapping through kernel functions for<br />

nonlinear classification. In this talk we introduce a modification of the<br />

SVM formulation in order to relax the support <strong>ve</strong>ctors that influence<br />

the classification boundary. The relaxed SVM formulation provides<br />

better classification results and faster implementations. We de<strong>ve</strong>lop<br />

the dual relaxed SVM formulation for nonlinear classification and show<br />

how the dual formulation can be used in a minimal sequential<br />

optimization framework. We present error bounds for the relaxed SVM<br />

formulation regarding stability and show that the relaxed classifier is<br />

uni<strong>ve</strong>rsally consistent.<br />

261

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