7 citations · 10 across the 7 of their papers we have counts for
Showing math.FAShow all
3 papers · 1 filter
math.FA2023
A Duality Approach to Regularized Learning Problems in Banach Spaces
Raymond Cheng, Rui Wang, Yuesheng Xu
Learning methods in Banach spaces are often formulated as regularization problems which minimize the sum of a data fidelity term in a Banach norm and a regularization term in anoth…
math.FA2023★ 3 cited
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…
math.FA2020★ 7 cited
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…