55 citations · 79 across the 27 of their papers we have counts for
5 papers · 1 filter
Vector-valued Reproducing Kernel Banach Spaces with Applications to Multi-task Learning
Haizhang Zhang, Jun Zhang
Motivated by multi-task machine learning with Banach spaces, we propose the notion of vector-valued reproducing kernel Banach spaces (RKBS). Basic properties of the spaces and the…
On the Inclusion Relation of Reproducing Kernel Hilbert Spaces
Haizhang Zhang, Liang Zhao
To help understand various reproducing kernels used in applied sciences, we investigate the inclusion relation of two reproducing kernel Hilbert spaces. Characterizations in terms…
Refinement of Operator-valued Reproducing Kernels
Yuesheng Xu, Haizhang Zhang, Qinghui Zhang
This paper studies the construction of a refinement kernel for a given operator-valued reproducing kernel such that the vector-valued reproducing kernel Hilbert space of the refine…
Reproducing Kernel Banach Spaces with the l1 Norm II: Error Analysis for Regularized Least Square Regression
Guohui Song, Haizhang Zhang
A typical approach in estimating the learning rate of a regularized learning scheme is to bound the approximation error by the sum of the sampling error, the hypothesis error and t…
Reproducing Kernel Banach Spaces with the l1 Norm
Guohui Song, Haizhang Zhang, Fred J. Hickernell
Targeting at sparse learning, we construct Banach spaces B of functions on an input space X with the properties that (1) B possesses an l1 norm in the sense that it is isometricall…