کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4607347 | 1631444 | 2013 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Regularization networks with indefinite kernels
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Regularization networks with indefinite kernels Regularization networks with indefinite kernels](/preview/png/4607347.png)
چکیده انگلیسی
Learning with indefinite kernels attracted considerable attention in recent years due to their success in various learning scenarios. In this paper we study the asymptotic properties of the regularization kernel networks where the kernels are assumed to be indefinite, without the usual restrictions of symmetry and positive semi-definiteness as in the traditional study of kernel methods. The kernels are characterized in terms of the singular value decomposition of the corresponding kernel integrals. Two reproducing kernel Hilbert spaces are induced to characterize the approximation ability. Capacity independent error bounds are proved. Fast convergence rates are obtained both in reproducing kernel Hilbert spaces and in L2L2 sense.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Approximation Theory - Volume 166, February 2013, Pages 1–18
Journal: Journal of Approximation Theory - Volume 166, February 2013, Pages 1–18
نویسندگان
Qiang Wu,