55 citations · 79 across the 27 of their papers we have counts for
5 papers · 1 filter
Vector-valued Reproducing Kernel Banach Spaces with Group Lasso Norms
Liangzhi Chen, Haizhang Zhang, Jun Zhang
Focusing on establishing a mathematical basis for kernel methods in sparse multi-task learning, we explore the theory of vector-valued reproducing kernel Banach spaces (RKBSs) endo…
Multi-task Learning in Vector-valued Reproducing Kernel Banach Spaces with the Norm
Rongrong Lin, Guohui Song, Haizhang Zhang
Targeting at sparse multi-task learning, we consider regularization models with an penalty on the coefficients of kernel functions. In order to provide a kernel method for…
Exponential Approximation of Bandlimited Random Processes from Oversampling
Wenjian Chen, Haizhang Zhang
The Shannon sampling theorem for bandlimited wide sense stationary random processes was established in 1957, which and its extensions to various random processes have been widely s…
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…