A Distributed Regularized Jacobi-Type ADMM-Method for Generalized Nash Equilibrium Problems in Hilbert Spaces

2018 ◽  
Vol 39 (12) ◽  
pp. 1316-1349 ◽  
Author(s):  
Eike Börgens ◽  
Christian Kanzow
2017 ◽  
Vol 51 (2) ◽  
pp. 329-341
Author(s):  
Nicolas Couellan

In this note, we investigate connections between supervised classification and (Generalized) Nash equilibrium problems (NEP & GNEP). For the specific case of support vector machines (SVM), we exploit the geometric properties of class separation in the dual space to formulate a non-cooperative game. NEP and Generalized NEP formulations are proposed for both binary and multi-class SVM problems.


2007 ◽  
Vol 117 (1-2) ◽  
pp. 163-194 ◽  
Author(s):  
Francisco Facchinei ◽  
Andreas Fischer ◽  
Veronica Piccialli

2011 ◽  
Vol 21 (3) ◽  
pp. 1082-1108 ◽  
Author(s):  
Axel Dreves ◽  
Francisco Facchinei ◽  
Christian Kanzow ◽  
Simone Sagratella

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