[1]Rui Wang and Xu Yuesheng. Representer theorems in Banach spaces: minimum norm interpolation, regularized learning and semi-discrete inverse problems. Journal of Machine Learning Research, accepted, 2021. [2] Rui Wang and Xu Yuesheng. Regularization in a functional reproducing kernel Hilbert space. Journal of Complexity, https://doi.org/10.1016/j.jco.2021.101567, 2021. [3] Rui Wang and Xu Yuesheng. Functional reproducing kernel Hilbert spaces for non-point-evaluation functional data. Applied and Computational Harmonic Analysis, 46(3) : 569-623, 2019. [4] Rui Wang and Haizhang Zhang. Optimal sampling points in reproducing kernel Hilbert spaces. Journal of Complexity, 34: 129-151, 2016. [5] Rui Wang and Xiangling Chen. A fast solver for boundary integral equations of the modified Helmholtz equation. Journal of Scientific Computing, 65: 553-575, 2015. [6] Xu Liu, Rui Wang and Haiye Yu. Fast sparse nonlinear Fourier expansions for high dimensional functions. Journal of Mathematics Analysis and Applications. 418: 828-841, 2014. [7] Xiangling Chen, Rui Wang and Yuesheng Xu. Fast Fourier-Galerkin methods for nonlinear boundary integral equations. Journal of Scientific Computing, 56: 494-514, 2013. [8] Jianqiang Liu, Charles A. Micchelli, Rui Wang and Yuesheng Xu. Finite rank kernels for multi-task learning. Advances in Computational Mathematics, 38: 427-439, 2013. [9] Xiaona Cui, Xu Liu, Rui Wang and Dunyan Yan. A characterization of multi-dimensional multi-knot piecewise linear spectral sequence and its applications. Acta Mathematica Sinica, English Series, 29: 1679-1690, 2013. [10] Tao Qian, Rui Wang, Yuesheng Xu and Haizhang Zhang. Orthonormal bases with nonlinear phases. Advances in Computational Mathematics, 33:75-95, 2010. [11] Bo Wang, Rui Wang and Yuesheng Xu. Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs. SCIENCE CHINA Mathematic, 53:1-22, 2010.
|
