Главная страница
russian   english
16+
<< back

Title of Article

FINDING THE OPTIMAL SEPARATING HYPERPLANE BASED ON VICINAL RISK MINIMIZATION


Issue
2
Date
2013

Article type
scientific article
UDC
519.7
Pages
171-176
Keywords
vicinal risk minimization, separating hyperplane, support vector machine, feature space.


Authors
Galkin Aleksandr Anatolevich
Kievskiy natsionalnyy universitet im. T. Shevchenko, Ukraina


Abstract
We investigate the methodology of support-vector machines (SVM) based on the vicinal risk minimization principle. The problem of finding the optimal separating hyperplane in the case of linearly inseparable data is considered. An algorithm of the SVM weak field is presented in the form of a convex approximation of linear risk minimization with a spherical Gaussian assessment. The methodology of constructing hyperplanes in a multidimensional space is presented.

File (in Russian)