36 citations · 98 across the 26 of their papers we have counts for
4 papers · 1 filter
Sparse Representer Theorems for Learning in Reproducing Kernel Banach Spaces
Rui Wang, Yuesheng Xu, Mingsong Yan
Sparsity of a learning solution is a desirable feature in machine learning. Certain reproducing kernel Banach spaces (RKBSs) are appropriate hypothesis spaces for sparse learning m…
Representer Theorems in Banach Spaces: Minimum Norm Interpolation, Regularized Learning and Semi-Discrete Inverse Problems
Rui Wang, Yuesheng Xu
Constructing or learning a function from a finite number of sampled data points (measurements) is a fundamental problem in science and engineering. This is often formulated as a mi…
Operator Reproducing Kernel Hilbert Spaces
Rui Wang, Yuesheng Xu
Motivated by the need of processing functional-valued data, or more general, operatorvalued data, we introduce the notion of the operator reproducing kernel Hilbert space (ORKHS).…
Generalized Mercer Kernels and Reproducing Kernel Banach Spaces
Yuesheng Xu, Qi Ye
This article studies constructions of reproducing kernel Banach spaces (RKBSs) which may be viewed as a generalization of reproducing kernel Hilbert spaces (RKHSs). A key point is…