科研项目: |
[1] 基于非点值泛函数据的函数稀疏表示与学习算法研究, 国家自然科学基金 面上项目, 2022.01-2025.12, 负责人. [2] 向量值与泛函值数据处理的再生核Hilbert空间方法, 国家自然科学基金 青年基金, 2014.01-2016.12, 负责人. [3] 基于自适应数据处理的非线性Fourier逼近, 国家自然科学基金天元青年 基金, 2012.01-2012.12, 负责人. |
学术论文: |
[1] Raymond Cheng, Rui Wang and Yuesheng Xu. A Duality Approach to Regularization Learning Problems in Banach Spaces. Journal of Complexity, 81(2024), (No. 101818), 1-22. [2] Rui Wang, Yuesheng Xu and Mingsong Yan. Sparse Representer Theorems for Learning in Reproducing Kernel Banach Spaces. Journal of Machine Learning Research, 25(2024), (No. 93), 1-45. [3] Liu Qianru, Rui Wang, Yuesheng Xu and Mingsong Yan. Parameter Choices for Sparse Regularization with the l1 Norm. Inverse Problems, 39 (2023), (No, 025004), 1-34. [4] Rui Wang and Yuesheng Xu. Representer theorems in Banach spaces: minimum norm interpolation, regularized learning and semi-discrete inverse problems. Journal of Machine Learning Research, 22 (2021), (No. 225), 1-65. [5] Rui Wang and Yuesheng Xu. Regularization in a functional reproducing kernel Hilbert space. Journal of Complexity, 66 (2021), (No. 101567), 1-23. [6] Rui Wang and Yuesheng Xu. Functional reproducing kernel Hilbert spaces for non-point-evaluation functional data. Applied and Computational Harmonic Analysis, 46(3) (2019), 569-623 . [7] Rui Wang and Haizhang Zhang. Optimal sampling points in reproducing kernel Hilbert spaces. Journal of Complexity, 34 (2016) ,129-151. [8] Rui Wang and Xiangling Chen. A fast solver for boundary integral equations of the modified Helmholtz equation. Journal of Scientific Computing, 65(2) (2015), 553-575. [9] Xiangling Chen, Rui Wang* and Yuesheng Xu. Fast Fourier-Galerkin methods for nonlinear boundary integral equations. Journal of Scientific Computing, 56(2013) , 494-514. [10] Jianqiang Liu, Charles A. Micchelli, Rui Wang and Yuesheng Xu. Finite rank kernels for multi-task learning. Advances in Computational Mathematics, 38 (2013), 427-439. [11] Tao Qian, Rui Wang, Yuesheng Xu and Haizhang Zhang. Orthonormal bases with nonlinear phases. Advances in Computational Mathematics, 33(2010), 75-95. |