2 papers
math.NA2025
A Random Integration Algorithm for High-dimensional Function Spaces
Liang Chen, Minqiang Xu, Haizhang Zhang
We introduce a novel random integration algorithm that boasts both high convergence order and polynomial tractability for functions characterized by sparse frequencies or rapidly d…
math.FA2025
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…