35 search results - page 1 / 7 » Accurate Error Bounds for the Eigenvalues of the Kernel Matr... |
JMLR
2006
13 years 4 months ago
2006
The eigenvalues of the kernel matrix play an important role in a number of kernel methods, in particular, in kernel principal component analysis. It is well known that the eigenva...
COLT
2004
Springer
13 years 10 months ago
2004
Springer
The main goal of this paper is to prove inequalities on the reconstruction error for Kernel Principal Component Analysis. With respect to previous work on this topic, our contribu...
ALT
2002
Springer
14 years 1 months ago
2002
Springer
Abstract. In this paper we analyze the relationships between the eigenvalues of the m × m Gram matrix K for a kernel k(·, ·) corresponding to a sample x1, . . . , xm drawn from ...
TIT
2008
13 years 4 months ago
2008
A new upper bound on the list error probability is presented. This bound is derived by combining the techniques for obtaining the tangential union bound with an improved bound on t...
MOC
2000
13 years 4 months ago
2000
In the approximation of linear elliptic operators in mixed form, it is well known that the so-called inf-sup and ellipticity in the kernel properties are sufficient (and, in a sens...