Academic Journal
An explicit description of the reproducing kernel Hilbert spaces of Gaussian RBF kernels
| العنوان: | An explicit description of the reproducing kernel Hilbert spaces of Gaussian RBF kernels |
|---|---|
| المؤلفون: | Ingo Steinwart, Don Hush, Clint Scovel |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://www.c3.lanl.gov/ml/pubs/2004_explicit/paper.pdf. |
| سنة النشر: | 2005 |
| المجموعة: | CiteSeerX |
| مصطلحات موضوعية: | Index Terms, Learning Theory, Support Vector Machines, Gaussian RBF Kernels |
| الوصف: | Although Gaussian RBF kernels are one of the most often used kernels in modern machine learning methods such as support vector machines (SVMs), little is known about the structure of their reproducing kernel Hilbert spaces (RKHSs). In this work we give two distinct explicit descriptions of the RKHSs corresponding to Gaussian RBF kernels and discuss some consequences. Furthermore, we present an orthonormal system for these spaces. Finally we discuss how our results can be used for analyzing the learning performance of SVMs. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.99.107; http://www.c3.lanl.gov/ml/pubs/2004_explicit/paper.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.99.107 http://www.c3.lanl.gov/ml/pubs/2004_explicit/paper.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.810DCD46 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |