Edit Profile (opens in new tab) Xu, Yuesheng Co-Author Distance Author ID: xu.yuesheng Published as: Xu, Yuesheng; Xu, Y.; Xu, Yue Sheng more...less Homepage: http://thecollege.syr.edu/people/faculty/pages/math/xu-yuesheng.html External Links: MGP · ORCID · Google Scholar · dblp Documents Indexed: 193 Publications since 1984, including 2 Books and 12 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 123 Co-Authors with 183 Joint Publications 4,119 Co-Co-Authors all top 5 Co-Authors 6 single-authored 27 Micchelli, Charles A. 26 Chen, Zhongying 22 Shen, Lixin 12 Jiang, Ying 12 Weinstein, Stanley E. 11 Zhang, Haizhang 10 Wang, Rui 10 Wu, Bin 9 Kaneko, Hideaki 7 Lu, Yao 6 Cao, Yanzhao 6 Zeng, Xueying 6 Zhao, Yunhe 5 Chen, Qiuhui 5 Li, Si 5 Song, Guohui 5 Swetits, John J. 5 Yang, Hongqi 4 Król, Andrzej 4 Li, Zheng 4 Lu, Jian 4 Ma, Yunyun 4 Ubhaya, Vasant A. 4 Zeng, Taishan 4 Zhang, Na 4 Zou, Qingsong 3 Chen, Feishe 3 Chen, Xiangling 3 Li, Qia 3 Noren, Richard D. 3 Sauer, Tomas 3 Wang, Bo 3 Xu, Chen 3 Yan, Mingsong 2 Bogacki, Przemyslaw 2 Brenner, Marty 2 Chen, Yun 2 Cheng, Raymond 2 Deutsch, Frank 2 Fang, Weifu 2 Ford, William F. 2 Huang, Min 2 Lin, Yizun 2 Liu, Songtao 2 Qian, Tao 2 Ren, Jin 2 Riemenschneider, Sherman D. 2 Ross Schmidtlein, C. 2 Schneider, Reinhold 2 Suter, Bruce W. 2 Wang, Yi 2 Wu, Tingting 2 Yan, Dunyan 2 Ye, Qi 2 Yu, Bo 2 Zhang, Yuanyuan 2 Zhou, Aihui 1 Ahn, Sangtae 1 Brenner, Susanne Cecelia 1 Brunner, Hermann 1 Cai, Haotao 1 Cao, Waixiang 1 Chen, Jieyang 1 Dahmen, Wolfgang A. 1 Dai, Daoqing 1 Ding, Shengpei 1 Diogo, Teresa 1 Dumrongpokaphan, Thongchai 1 Fermo, Luisa 1 Ford, Neville J. 1 Guan, Wenchao 1 Guo, Jianfeng 1 Han, Guoqiang 1 Herdman, Terry L. 1 Hu, Rizhang 1 Huang, Jiasheng 1 Huang, Norden E. 1 Ken, Hayami 1 Kerr, Gilbert 1 Lenbury, Yongwimon 1 Li, Yonghai 1 Li, Yuesheng 1 Li, Zhiwen 1 Lian, Qiaofang 1 Lima, Pedro Miguel 1 Liu, Jianqiang 1 Liu, Jinzhao 1 Liu, Liping 1 Liu, Qianru 1 Liu, Xiaoxia 1 Liu, Youming 1 Liu, Yuzhen 1 Long, Wenting 1 Ma, Xiangyuan 1 Mao, Dong 1 Nelakanti, Gnaneshwar 1 Ouncharoen, Rujira 1 Padilla, Peter A. 1 Peng, Silong 1 Pennline, James A. ...and 30 more Co-Authors all top 5 Serials 19 Advances in Computational Mathematics 16 Journal of Integral Equations and Applications 11 Inverse Problems 10 Journal of Computational and Applied Mathematics 10 SIAM Journal on Numerical Analysis 8 Mathematics of Computation 8 Journal of Scientific Computing 8 Applied and Computational Harmonic Analysis 7 Journal of Complexity 7 International Journal of Numerical Analysis and Modeling 6 Applied Numerical Mathematics 6 Journal of Machine Learning Research (JMLR) 5 Journal of Approximation Theory 4 Proceedings of the American Mathematical Society 4 Analysis and Applications (Singapore) 3 Applicable Analysis 3 Journal of Mathematical Analysis and Applications 3 Inverse Problems and Imaging 2 Numerical Functional Analysis and Optimization 2 Applied Mathematics and Mechanics. (English Edition) 2 Journal of Computational Mathematics 1 Computing 1 Integral Equations and Operator Theory 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Results in Mathematics 1 Constructive Approximation 1 Northeastern Mathematical Journal 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Matrix Analysis and Applications 1 CAD. Computer-Aided Design 1 Science in China. Series A 1 Neural Networks 1 Multidimensional Systems and Signal Processing 1 Linear Algebra and its Applications 1 Numerical Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mathematica Sinica. English Series 1 Communications on Pure and Applied Analysis 1 Lecture Notes in Pure and Applied Mathematics 1 Cambridge Monographs on Applied and Computational Mathematics 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China 1 Mathematical Modelling of Natural Phenomena 1 SIAM Journal on Imaging Sciences 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Adaptive Data Analysis 1 Science China. Mathematics 1 Scientia Sinica. Mathematica 1 IEEE Transactions on Circuits and Systems I: Regular Papers 1 Applied and Numerical Harmonic Analysis all top 5 Fields 128 Numerical analysis (65-XX) 47 Integral equations (45-XX) 33 Approximations and expansions (41-XX) 30 Information and communication theory, circuits (94-XX) 27 Computer science (68-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 18 Partial differential equations (35-XX) 14 Functional analysis (46-XX) 14 Operator theory (47-XX) 10 Operations research, mathematical programming (90-XX) 9 Biology and other natural sciences (92-XX) 6 Ordinary differential equations (34-XX) 6 Statistics (62-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 3 Integral transforms, operational calculus (44-XX) 3 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 2 Geophysics (86-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 171 Publications have been cited 2,390 times in 1,203 Documents Cited by ▼ Year ▼ Proximity algorithms for image models: denoising. Zbl 1216.94015 Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng 96 2011 Universal kernels. Zbl 1222.68266 Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang 88 2006 Higher-order finite volume methods for elliptic boundary value problems. Zbl 1266.65180 Chen, Zhongying; Wu, Junfeng; Xu, Yuesheng 76 2012 A hybrid collocation method for Volterra integral equations with weakly singular kernels. Zbl 1042.65106 Cao, Yanzhao; Herdman, Terry; Xu, Yuesheng 74 2003 Gauss-type quadratures for weakly singular integrals and their application to Fredholm integral equations of the second kind. Zbl 0799.65023 Kaneko, Hideaki; Xu, Yuesheng 66 1994 Reproducing kernel Banach spaces for machine learning. Zbl 1235.68217 Zhang, Haizhang; Xu, Yuesheng; Zhang, Jun 65 2009 Using the matrix refinement equation for the construction of wavelets on invariant sets. Zbl 0815.42019 Micchelli, Charles A.; Xu, Yuesheng 57 1994 Superconvergence of the iterated Galerkin methods for Hammerstein equations. Zbl 0860.65138 Kaneko, Hideaki; Xu, Yuesheng 55 1996 Fast collocation methods for second kind integral equations. Zbl 1016.65107 Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng 53 2002 Reconstruction and decomposition algorithms for biorthogonal multiwavelets. Zbl 0872.42010 Micchelli, Charles A.; Xu, Yuesheng 44 1997 The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes. Zbl 0915.65134 Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng 44 1997 An implementation of fast wavelet Galerkin methods for integral equations of the second kind. Zbl 1047.65112 Fang, Weifu; Wang, Yi; Xu, Yuesheng 43 2004 The Petrov-Galerkin and iterated Petrov-Galerkin methods for second-kind integral equations. Zbl 0911.65143 Chen, Zhongying; Xu, Yuesheng 40 1998 A construction of higher-order finite volume methods. Zbl 1307.65144 Chen, Zhongying; Xu, Yuesheng; Zhang, Yuanyuan 39 2015 Wavelet Galerkin methods for second-kind integral equations. Zbl 0913.65129 Micchelli, Charles A.; Xu, Yuesheng; Zhao, Yunhe 38 1997 A multilevel method for solving operator equations. Zbl 0990.65059 Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng 37 2001 Multilevel augmentation methods for solving operator equations. Zbl 1077.65053 Chen, Zhongying; Wu, Bin; Xu, Yuesheng 36 2005 A multilevel augmentation method for solving ill-posed operator equations. Zbl 1088.65051 Chen, Zhongying; Xu, Yuesheng; Yang, Hongqi 36 2006 A construction of interpolating wavelets on invariant sets. Zbl 1051.65009 Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng 36 1999 Numerical solutions for weakly singular Hammerstein equations and their superconvergence. Zbl 0764.65085 Kaneko, Hideaki; Noren, Richard D.; Xu, Yuesheng 35 1992 Multiscale methods for Fredholm integral equations. Zbl 1332.65188 Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng 35 2015 A B-spline approach for empirical mode decompositions. Zbl 1092.94007 Chen, Qiuhui; Huang, Norden; Riemenschneider, Sherman; Xu, Yuesheng 34 2006 The Bedrosian identity for the Hilbert transform of product functions. Zbl 1101.44002 Xu, Yuesheng; Yan, Dunyan 32 2006 Proximity algorithms for the L1/TV image denoising model. Zbl 1275.65014 Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng; Zeng, Xueying 32 2013 Degenerate kernel method for Hammerstein equations. Zbl 0711.65118 Kaneko, Hideaki; Xu, Yuesheng 29 1991 Fourier spectrum characterization of Hardy spaces and applications. Zbl 1169.42003 Qian, Tao; Xu, Yuesheng; Yan, Dunyan; Yan, Lixin; Yu, Bo 28 2009 Preconditioned alternating projection algorithms for maximum a posteriori ECT reconstruction. Zbl 1270.94018 Krol, Andrzej; Li, Si; Shen, Lixin; Xu, Yuesheng 28 2012 Hybrid collocation methods for Fredholm integral equations with weakly singular kernels. Zbl 1119.65122 Cao, Yanzhao; Huang, Min; Liu, Liping; Xu, Yuesheng 27 2007 Regularity of the solution of Hammerstein equations with weakly singular kernel. Zbl 0706.45005 Kaneko, Hideaki; Noren, Richard; Xu, Yuesheng 27 1990 Generalized Mercer kernels and reproducing kernel Banach spaces. Zbl 1455.68009 Xu, Yuesheng; Ye, Qi 27 2019 Nonlinear functionals of wavelet expansions – adaptive reconstruction and fast evaluation. Zbl 0962.65118 Dahmen, Wolfgang; Schneider, Reinhold; Xu, Yuesheng 26 2000 Discrete wavelet Petrov–Galerkin methods. Zbl 0998.65120 Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng 26 2002 Multilevel augmentation methods for differential equations. Zbl 1123.65075 Chen, Zhongying; Wu, Bin; Xu, Yuesheng 26 2006 Multi-step fixed-point proximity algorithms for solving a class of optimization problems arising from image processing. Zbl 1326.65069 Li, Qia; Shen, Lixin; Xu, Yuesheng; Zhang, Na 24 2015 Singularity preserving Galerkin methods for weakly singular Fredholm integral equations. Zbl 0819.65139 Cao, Yanzhao; Xu, Yuesheng 23 1994 Fast Fourier-Galerkin methods for solving singular boundary integral equations: Numerical integration and precondition. Zbl 1193.65206 Jiang, Ying; Xu, Yuesheng 22 2010 A fast Fourier-Galerkin method for solving singular boundary integral equations. Zbl 1175.65140 Cai, Haotao; Xu, Yuesheng 22 2008 Fast discrete algorithms for sparse Fourier expansions of high dimensional functions. Zbl 1184.65124 Jiang, Ying; Xu, Yuesheng 21 2010 Integral equation models for image restoration: high accuracy methods and fast algorithms. Zbl 1256.94012 Lu, Yao; Shen, Lixin; Xu, Yuesheng 21 2010 Multiplicative noise removal in imaging: an exp-model and its fixed-point proximity algorithm. Zbl 1360.94043 Lu, Jian; Shen, Lixin; Xu, Chen; Xu, Yuesheng 21 2016 A proximity algorithm accelerated by Gauss-Seidel iterations for L1/TV denoising models. Zbl 1273.65085 Li, Qia; Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng 21 2012 Fast multilevel augmentation methods for solving Hammerstein equations. Zbl 1195.65224 Chen, Zhongying; Wu, Bin; Xu, Yuesheng 20 2009 Orthonormal bases with nonlinear phases. Zbl 1213.42126 Qian, Tao; Wang, Rui; Xu, Yuesheng; Zhang, Haizhang 19 2010 Fast collocation methods for solving ill-posed integral equations of the first kind. Zbl 1167.65073 Chen, Zhongying; Xu, Yuesheng; Yang, Hongqi 18 2008 Refinable kernels. Zbl 1222.68337 Xu, Yuesheng; Zhang, Haizhang 17 2007 Superconvergence of the iterated degenerate kernel method. Zbl 1020.65099 Kaneko, H.; Padilla, P.; Xu, Y. 16 2001 Multi-parameter Tikhonov regularization for linear ill-posed operator equations. Zbl 1174.65018 Chen, Zhongying; Lu, Yao; Xu, Yuesheng; Yang, Hongqi 15 2008 Computing highly oscillatory integrals. Zbl 1376.65027 Ma, Yunyun; Xu, Yuesheng 15 2018 Wavelet inpainting with the \(\ell_{0}\) sparse regularization. Zbl 1338.65061 Shen, Lixin; Xu, Yuesheng; Zeng, Xueying 15 2016 Superconvergence of the iterated hybrid collocation method for weakly singular Volterra integral equations. Zbl 1141.65091 Huang, Min; Xu, Yuesheng 14 2006 Optimal learning of bandlimited functions from localized sampling. Zbl 1180.65182 Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang 14 2009 The discrete Petrov-Galerkin method for weakly singular integral equations. Zbl 0974.65122 Chen, Zhongying; Xu, Yuesheng; Zhao, Jiansheng 14 1999 Multilevel preconditioning for the finite volume method. Zbl 1250.65132 Li, Yonghai; Shu, Shi; Xu, Yuesheng; Zou, Qingsong 14 2012 Multi-parameter regularization methods for high-resolution image reconstruction with displacement errors. Zbl 1374.94240 Lu, Yao; Shen, Lixin; Xu, Yuesheng 14 2007 Aggregation of regularized solutions from multiple observation models. Zbl 1369.65078 Chen, Jieyang; Pereverzyev, Sergiy jun.; Xu, Yuesheng 14 2015 Refinement of reproducing kernels. Zbl 1235.68211 Xu, Yuesheng; Zhang, Haizhang 13 2009 A fast wavelet collocation method for integral equations on polygons. Zbl 1104.65132 Wang, Yi; Xu, Yuesheng 13 2005 A fast Fourier-Galerkin method solving a boundary integral equation for the biharmonic equation. Zbl 1307.31008 Jiang, Ying; Wang, Bo; Xu, Yuesheng 13 2014 A second-order hybrid finite volume method for solving the Stokes equation. Zbl 1368.65153 Chen, Zhongying; Xu, Yuesheng; Zhang, Jiehua 13 2017 Two-dimensional empirical mode decomposition by finite elements. Zbl 1149.74395 Xu, Y.; Liu, Bao; Liu, J.; Riemenschneider, S. 12 2006 Optimal \({\mathcal H}_2\) model reduction for large scale MIMO systems via tangential interpolation. Zbl 1213.93089 Xu, Yuesheng; Zeng, Taishan 12 2011 Degree reduction of Bézier curves by uniform approximation with endpoint interpolation. Zbl 0837.65007 Bogacki, Przemyslaw; Weinstein, Stanley E.; Xu, Yuesheng 12 1995 Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs. Zbl 1193.65232 Wang, Bo; Wang, Rui; Xu, Yuesheng 12 2010 Multi-level iteration methods for solving integral equations of the second kind. Zbl 1041.65107 Fang, Weifu; Ma, Fuming; Xu, Yuesheng 12 2002 Noisy 1-bit compressive sensing: models and algorithms. Zbl 1331.65085 Dai, Dao-Qing; Shen, Lixin; Xu, Yuesheng; Zhang, Na 12 2016 Functional reproducing kernel Hilbert spaces for non-point-evaluation functional data. Zbl 1423.46046 Wang, Rui; Xu, Yuesheng 12 2019 An extrapolation method for a class of boundary integral equations. Zbl 0851.65077 Xu, Yuesheng; Zhao, Yunhe 11 1996 The oscillation of solutions of Volterra integral and integro-differential equations with highly oscillatory kernels. Zbl 1381.45009 Brunner, Hermann; Ma, Yunyun; Xu, Yuesheng 11 2015 B-spline quasi-interpolation on sparse grids. Zbl 1221.65034 Jiang, Ying; Xu, Yuesheng 10 2011 Correction method and extrapolation method for singular two-point boundary value problems. Zbl 0971.65066 Han, Guoqiang; Wang, Jiong; Ken, Hayami; Xu, Yuesheng 10 2000 Fast numerical collocation solutions of integral equations. Zbl 1137.65067 Chen, Zhongying; Wu, Bin; Xu, Yuesheng 10 2007 A fast collocation method for eigen-problems of weakly singular integral operators. Zbl 1203.65284 Chen, Zhongying; Nelakanti, Gnaneshwar; Xu, Yuesheng; Zhang, Yongdong 9 2009 Galerkin methods based on Hermite splines for singular perturbation problems. Zbl 1107.65064 Liu, Song-Tao; Xu, Yuesheng 9 2006 Constrained best approximation in Hilbert space III. Applications of \(n\)-convex functions. Zbl 0995.41500 Deutsch, F.; Ubhaya, V. A.; Ward, J. D.; Xu, Yuesheng 9 1996 Higher-order finite volume methods. II: Inf-sup condition and uniform local ellipticity. Zbl 1293.65142 Chen, Zhongying; Xu, Yuesheng; Zhang, Yuanyuan 9 2014 Adaptive wavelet methods for elliptic operator equations with nonlinear terms. Zbl 1025.65058 Xu, Yuesheng; Zou, Qingsong 9 2003 Refinement of operator-valued reproducing kernels. Zbl 1283.68310 Zhang, Haizhang; Xu, Yuesheng; Zhang, Qinghui 9 2012 Fast Boolean approximation methods for solving integral equations in high dimensions. Zbl 1085.65126 Xu, Yuesheng; Zhou, Aihui 8 2004 On the characterization and computation of best monotone approximation in \(L_ p[0,1]\) for \(1\leq p<\infty\). Zbl 0693.41016 Swetits, J. J.; Weinstein, S. E.; Xu, Yuesheng 8 1990 Error control strategies for numerical integrations in fast collocation methods. Zbl 1079.65132 Chen, Zhongying; Wu, Bin; Xu, Yuesheng 8 2005 Asymptotic error analysis of a quadrature method for integral equations with Green’s function kernels. Zbl 0978.65126 Ford, William F.; Pennline, James A.; Xu, Yuesheng; Zhao, Yunhe 8 2000 A construction of refinable sets for interpolating wavelets. Zbl 0921.65097 Micchelli, Charles A.; Sauer, Thomas; Xu, Yuesheng 8 1998 An intracellular delay-differential equation model of the HIV infection and immune control. Zbl 1337.92205 Dumrongpokaphan, T.; Lenbury, Y.; Ouncharoen, R.; Xu, Y. 8 2007 Deterministic convergence of an online gradient method for neural networks. Zbl 1066.68111 Wu, Wei; Xu, Yuesheng 8 2002 The Moreau envelope approach for the L1/TV image denoising model. Zbl 1283.94010 Chen, Feishe; Shen, Lixin; Xu, Yuesheng; Zeng, Xueying 8 2014 Fast multilevel augmentation methods for nonlinear boundary integral equations. Zbl 1236.65147 Chen, Xiangling; Chen, Zhongying; Wu, Bin; Xu, Yuesheng 7 2011 Multiscale collocation methods for ill-posed integral equations via a coupled system. Zbl 1244.65237 Chen, Zhongying; Ding, Shengpei; Xu, Yuesheng; Yang, Hongqi 7 2012 Multivariate filter banks having matrix factorizations. Zbl 1043.42026 Chen, Qiuhui; Micchelli, Charles A.; Peng, Silong; Xu, Yuesheng 7 2003 An analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1099.65116 Schneider, Reinhold; Xu, Yuesheng; Zhou, Aihui 7 2006 Piecewise linear spectral sequences. Zbl 1061.42020 Liu, Youming; Xu, Yuesheng 7 2005 Multiplicative noise removal with a sparsity-aware optimization model. Zbl 1375.94022 Lu, Jian; Shen, Lixin; Xu, Chen; Xu, Yuesheng 7 2017 Fast collocation methods for high-dimensional weakly singular integral equations. Zbl 1144.65084 Chen, Zhongying; Wu, Bin; Xu, Yuesheng 6 2008 Quadratures for improper integrals and their applications in integral equations. Zbl 0815.65034 Xu, Yuesheng; Zhao, Yunhe 6 1994 Tree wavelet approximations with applications. Zbl 1081.42031 Xu, Yuesheng; Zou, Qingsong 6 2005 Numerical solutions for weakly singular Fredholm integral equations of the second kind. Zbl 0716.65118 Kaneko, Hideaki; Xu, Yuesheng 6 1991 Best quasi-convex uniform approximation. Zbl 0729.41026 Weinstein, S. E.; Xu, Yuesheng 6 1990 Two-step fixed-point proximity algorithms for multi-block separable convex problems. Zbl 1368.65088 Li, Qia; Xu, Yuesheng; Zhang, Na 6 2017 Regularization in a functional reproducing kernel Hilbert space. Zbl 07390177 Wang, Rui; Xu, Yuesheng 6 2021 Shadow block iteration for solving linear systems obtained from wavelet transforms. Zbl 1086.65029 Lu, Yao; Shen, Lixin; Xu, Yuesheng 5 2005 Quadratures for boundary integral equations of the first kind with logarithmic kernels. Zbl 0888.65122 Xu, Yuesheng; Zhao, Yunhe 5 1996 Sparse machine learning in Banach spaces. Zbl 07705768 Xu, Yuesheng 1 2023 Sparse regularization with the \(\ell_0\) norm. Zbl 1522.90146 Xu, Yuesheng 1 2023 Parameter choices for sparse regularization with the \(\ell_1\) norm. Zbl 07640701 Liu, Qianru; Wang, Rui; Xu, Yuesheng; Yan, Mingsong 1 2023 Sparse deep neural network for nonlinear partial differential equations. Zbl 07672342 Xu, Yuesheng; Zeng, Taishan 1 2023 Convergence of deep convolutional neural networks. Zbl 07751482 Xu, Yuesheng; Zhang, Haizhang 1 2022 Inverting incomplete Fourier transforms by a sparse regularization model and applications in seismic wavefield modeling. Zbl 1496.65244 Wu, Tingting; Xu, Yuesheng 1 2022 Convergence rate analysis for fixed-point iterations of generalized averaged nonexpansive operators. Zbl 1525.47124 Lin, Yizun; Xu, Yuesheng 1 2022 Regularization in a functional reproducing kernel Hilbert space. Zbl 07390177 Wang, Rui; Xu, Yuesheng 6 2021 Representer theorems in Banach spaces: minimum norm interpolation, regularized learning and semi-discrete inverse problems. Zbl 1507.68261 Wang, Rui; Xu, Yuesheng 4 2021 Minimum norm interpolation in the \(\ell_1(\mathbb{N})\) space. Zbl 1462.41001 Cheng, Raymond; Xu, Yuesheng 3 2021 Fixed-point proximity algorithms solving an incomplete Fourier transform model for seismic wavefield modeling. Zbl 1456.86011 Wu, Tingting; Shen, Lixin; Xu, Yuesheng 1 2021 An integral equation model for PET imaging. Zbl 1499.65772 Tang, Xinhuang; Schmidtlein, Charles Ross; Li, Si; Xu, Yuesheng 1 2021 Multiplicative noise removal: nonlocal low-rank model and its proximal alternating reweighted minimization algorithm. Zbl 1501.94003 Liu, Xiaoxia; Lu, Jian; Shen, Lixin; Xu, Chen; Xu, Yuesheng 5 2020 A content-adaptive unstructured grid based integral equation method with the TV regularization for SPECT reconstruction. Zbl 1431.94008 Chen, Yun; Huang, Jiasheng; Li, Si; Lu, Yao; Xu, Yuesheng 3 2020 Fixed-point proximity algorithm for minimal norm interpolation. Zbl 1440.15015 Li, Zheng; Micchelli, Charles A.; Xu, Yuesheng 3 2020 Computing the Newton potential in the boundary integral equation for the Dirichlet problem of the Poisson equation. Zbl 1456.35094 Guan, Wenchao; Jiang, Ying; Xu, Yuesheng 2 2020 Generalized Mercer kernels and reproducing kernel Banach spaces. Zbl 1455.68009 Xu, Yuesheng; Ye, Qi 27 2019 Functional reproducing kernel Hilbert spaces for non-point-evaluation functional data. Zbl 1423.46046 Wang, Rui; Xu, Yuesheng 12 2019 Sparsity promoting regularization for effective noise suppression in SPECT image reconstruction. Zbl 1447.92215 Zheng, Wei; Li, Si; Krol, Andrzej; Ross Schmidtlein, C.; Zeng, Xueying; Xu, Yuesheng 5 2019 A two-step fixed-point proximity algorithm for a class of non-differentiable optimization models in machine learning. Zbl 1423.68382 Li, Zheng; Song, Guohui; Xu, Yuesheng 4 2019 Matrix completion via minimizing an approximate rank. Zbl 1425.65057 Zeng, Xueying; Shen, Lixin; Xu, Yuesheng; Lu, Jian 2 2019 Computing integrals involved the Gaussian function with a small standard deviation. Zbl 1415.65061 Ma, Yunyun; Xu, Yuesheng 2 2019 Computing highly oscillatory integrals. Zbl 1376.65027 Ma, Yunyun; Xu, Yuesheng 15 2018 A fixed-point proximity approach to solving the support vector regression with the group Lasso regularization. Zbl 1407.65066 Li, Zheng; Song, Guohui; Xu, Yuesheng 4 2018 Sparse support vector machines in reproducing kernel Banach spaces. Zbl 1405.65080 Li, Zheng; Xu, Yuesheng; Ye, Qi 4 2018 A fully discrete fast Fourier-Galerkin method solving a boundary integral equation for the biharmonic equation. Zbl 1401.31011 Jiang, Ying; Wang, Bo; Xu, Yuesheng 2 2018 A second-order hybrid finite volume method for solving the Stokes equation. Zbl 1368.65153 Chen, Zhongying; Xu, Yuesheng; Zhang, Jiehua 13 2017 Multiplicative noise removal with a sparsity-aware optimization model. Zbl 1375.94022 Lu, Jian; Shen, Lixin; Xu, Chen; Xu, Yuesheng 7 2017 Two-step fixed-point proximity algorithms for multi-block separable convex problems. Zbl 1368.65088 Li, Qia; Xu, Yuesheng; Zhang, Na 6 2017 A fast discrete spectral method for stochastic partial differential equations. Zbl 1386.60213 Cao, Yanzhao; Jiang, Ying; Xu, Yuesheng 2 2017 A finite element method for the one-dimensional prescribed curvature problem. Zbl 1380.65361 Brenner, Susanne C.; Sung, Li-Yeng; Wang, Zhuo; Xu, Yuesheng 2 2017 High-resolution image reconstruction: an \(\mathrm{env}_{\ell^{1}}/\text{TV}\) model and a fixed-point proximity algorithm. Zbl 1415.94031 Long, Wenting; Lu, Yao; Shen, Lixin; Xu, Yuesheng 1 2017 Multiplicative noise removal in imaging: an exp-model and its fixed-point proximity algorithm. Zbl 1360.94043 Lu, Jian; Shen, Lixin; Xu, Chen; Xu, Yuesheng 21 2016 Wavelet inpainting with the \(\ell_{0}\) sparse regularization. Zbl 1338.65061 Shen, Lixin; Xu, Yuesheng; Zeng, Xueying 15 2016 Noisy 1-bit compressive sensing: models and algorithms. Zbl 1331.65085 Dai, Dao-Qing; Shen, Lixin; Xu, Yuesheng; Zhang, Na 12 2016 A collocation method solving integral equation models for image restoration. Zbl 1347.65197 Liu, Yuzhen; Shen, Lixin; Xu, Yuesheng; Yang, Hongqi 4 2016 Reducing staircasing artifacts in SPECT reconstruction by an infimal convolution regularization. Zbl 1374.92095 Wu, Zhifeng; Li, Si; Zeng, Xueying; Xu, Yuesheng; Krol, Andrzej 4 2016 A construction of higher-order finite volume methods. Zbl 1307.65144 Chen, Zhongying; Xu, Yuesheng; Zhang, Yuanyuan 39 2015 Multiscale methods for Fredholm integral equations. Zbl 1332.65188 Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng 35 2015 Multi-step fixed-point proximity algorithms for solving a class of optimization problems arising from image processing. Zbl 1326.65069 Li, Qia; Shen, Lixin; Xu, Yuesheng; Zhang, Na 24 2015 Aggregation of regularized solutions from multiple observation models. Zbl 1369.65078 Chen, Jieyang; Pereverzyev, Sergiy jun.; Xu, Yuesheng 14 2015 The oscillation of solutions of Volterra integral and integro-differential equations with highly oscillatory kernels. Zbl 1381.45009 Brunner, Hermann; Ma, Yunyun; Xu, Yuesheng 11 2015 Computing oscillatory integrals: partition of the integration interval based on the singularity and the wave number of the integrand. Zbl 1488.65048 Ma, Yunyun; Xu, Yuesheng 1 2015 A fast Fourier-Galerkin method solving a boundary integral equation for the biharmonic equation. Zbl 1307.31008 Jiang, Ying; Wang, Bo; Xu, Yuesheng 13 2014 Higher-order finite volume methods. II: Inf-sup condition and uniform local ellipticity. Zbl 1293.65142 Chen, Zhongying; Xu, Yuesheng; Zhang, Yuanyuan 9 2014 The Moreau envelope approach for the L1/TV image denoising model. Zbl 1283.94010 Chen, Feishe; Shen, Lixin; Xu, Yuesheng; Zeng, Xueying 8 2014 Fast computation of the multidimensional discrete Fourier transform and discrete backward Fourier transform on sparse grids. Zbl 1312.65233 Jiang, Ying; Xu, Yuesheng 3 2014 Orthogonal polynomial expansions on sparse grids. Zbl 1300.65009 Cao, Yanzhao; Jiang, Ying; Xu, Yuesheng 3 2014 An approximate sparsity model for inpainting. Zbl 1294.65027 Shen, Lixin; Xu, Yuesheng; Zhang, Na 1 2014 Nesterov’s algorithm solving dual formulation for compressed sensing. Zbl 1293.65090 Chen, Feishe; Shen, Lixin; Suter, Bruce W.; Xu, Yuesheng 1 2014 Proximity algorithms for the L1/TV image denoising model. Zbl 1275.65014 Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng; Zeng, Xueying 32 2013 Fast Fourier-Galerkin methods for nonlinear boundary integral equations. Zbl 1278.65187 Chen, Xiangling; Wang, Rui; Xu, Yuesheng 5 2013 Fast optimal \(\mathcal H_2\) model reduction algorithms based on Grassmann manifold optimization. Zbl 1283.65116 Xu, Yuesheng; Zeng, Taishan 4 2013 On computing with the Hilbert spline transform. Zbl 1268.41005 Micchelli, Charles A.; Xu, Yuesheng; Yu, Bo 4 2013 Finite rank kernels for multi-task learning. Zbl 1267.41003 Liu, Jianqiang; Micchelli, Charles A.; Wang, Rui; Xu, Yuesheng 2 2013 Higher-order finite volume methods for elliptic boundary value problems. Zbl 1266.65180 Chen, Zhongying; Wu, Junfeng; Xu, Yuesheng 76 2012 Preconditioned alternating projection algorithms for maximum a posteriori ECT reconstruction. Zbl 1270.94018 Krol, Andrzej; Li, Si; Shen, Lixin; Xu, Yuesheng 28 2012 A proximity algorithm accelerated by Gauss-Seidel iterations for L1/TV denoising models. Zbl 1273.65085 Li, Qia; Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng 21 2012 Multilevel preconditioning for the finite volume method. Zbl 1250.65132 Li, Yonghai; Shu, Shi; Xu, Yuesheng; Zou, Qingsong 14 2012 Refinement of operator-valued reproducing kernels. Zbl 1283.68310 Zhang, Haizhang; Xu, Yuesheng; Zhang, Qinghui 9 2012 Multiscale collocation methods for ill-posed integral equations via a coupled system. Zbl 1244.65237 Chen, Zhongying; Ding, Shengpei; Xu, Yuesheng; Yang, Hongqi 7 2012 Multilevel augmentation methods for nonlinear boundary integral equations II: Accelerated quadratures and Newton iterations. Zbl 1271.65145 Chen, Xiangling; Chen, Zhongying; Wu, Bin; Xu, Yuesheng 2 2012 Proximity algorithms for image models: denoising. Zbl 1216.94015 Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng 96 2011 Optimal \({\mathcal H}_2\) model reduction for large scale MIMO systems via tangential interpolation. Zbl 1213.93089 Xu, Yuesheng; Zeng, Taishan 12 2011 B-spline quasi-interpolation on sparse grids. Zbl 1221.65034 Jiang, Ying; Xu, Yuesheng 10 2011 Fast multilevel augmentation methods for nonlinear boundary integral equations. Zbl 1236.65147 Chen, Xiangling; Chen, Zhongying; Wu, Bin; Xu, Yuesheng 7 2011 Filters of wavelets on invariant sets for image denoising. Zbl 1248.94017 Lian, Qiaofang; Shen, Lixin; Xu, Yuesheng; Yang, Lihua 3 2011 A fast algorithm for computing sample entropy. Zbl 1226.92003 Jiang, Ying; Mao, Dong; Xu, Yuesheng 1 2011 Hierarchical entropy analysis for biological signals. Zbl 1230.92025 Jiang, Ying; Peng, C.-K.; Xu, Yuesheng 1 2011 Fast Fourier-Galerkin methods for solving singular boundary integral equations: Numerical integration and precondition. Zbl 1193.65206 Jiang, Ying; Xu, Yuesheng 22 2010 Fast discrete algorithms for sparse Fourier expansions of high dimensional functions. Zbl 1184.65124 Jiang, Ying; Xu, Yuesheng 21 2010 Integral equation models for image restoration: high accuracy methods and fast algorithms. Zbl 1256.94012 Lu, Yao; Shen, Lixin; Xu, Yuesheng 21 2010 Orthonormal bases with nonlinear phases. Zbl 1213.42126 Qian, Tao; Wang, Rui; Xu, Yuesheng; Zhang, Haizhang 19 2010 Fast Fourier-Galerkin methods for first-kind logarithmic-kernel integral equations on open arcs. Zbl 1193.65232 Wang, Bo; Wang, Rui; Xu, Yuesheng 12 2010 Approximation of high-dimensional kernel matrices by multilevel circulant matrices. Zbl 1197.65045 Song, Guohui; Xu, Yuesheng 3 2010 Approximation of kernel matrices by circulant matrices and its application in kernel selection methods. Zbl 1191.65190 Song, Guohui; Xu, Yuesheng 1 2010 Reproducing kernel Banach spaces for machine learning. Zbl 1235.68217 Zhang, Haizhang; Xu, Yuesheng; Zhang, Jun 65 2009 Fourier spectrum characterization of Hardy spaces and applications. Zbl 1169.42003 Qian, Tao; Xu, Yuesheng; Yan, Dunyan; Yan, Lixin; Yu, Bo 28 2009 Fast multilevel augmentation methods for solving Hammerstein equations. Zbl 1195.65224 Chen, Zhongying; Wu, Bin; Xu, Yuesheng 20 2009 Optimal learning of bandlimited functions from localized sampling. Zbl 1180.65182 Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang 14 2009 Refinement of reproducing kernels. Zbl 1235.68211 Xu, Yuesheng; Zhang, Haizhang 13 2009 A fast collocation method for eigen-problems of weakly singular integral operators. Zbl 1203.65284 Chen, Zhongying; Nelakanti, Gnaneshwar; Xu, Yuesheng; Zhang, Yongdong 9 2009 Multiparameter regularization for Volterra kernel identification via multiscale collocation methods. Zbl 1190.65200 Brenner, Marty; Jiang, Ying; Xu, Yuesheng 4 2009 Graded Galerkin methods for the high-order convection-diffusion problem. Zbl 1180.65093 Liu, Song-Tao; Xu, Yuesheng 4 2009 A fast collocation method for solving stochastic integral equations. Zbl 1202.65011 Cao, Yanzhao; Wu, Bin; Xu, Yuesheng 1 2009 A fast Fourier-Galerkin method for solving singular boundary integral equations. Zbl 1175.65140 Cai, Haotao; Xu, Yuesheng 22 2008 Fast collocation methods for solving ill-posed integral equations of the first kind. Zbl 1167.65073 Chen, Zhongying; Xu, Yuesheng; Yang, Hongqi 18 2008 Multi-parameter Tikhonov regularization for linear ill-posed operator equations. Zbl 1174.65018 Chen, Zhongying; Lu, Yao; Xu, Yuesheng; Yang, Hongqi 15 2008 Fast collocation methods for high-dimensional weakly singular integral equations. Zbl 1144.65084 Chen, Zhongying; Wu, Bin; Xu, Yuesheng 6 2008 On translation invariant operators which preserve the B-spline recurrence. Zbl 1283.41010 Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang 1 2008 Hybrid collocation methods for Fredholm integral equations with weakly singular kernels. Zbl 1119.65122 Cao, Yanzhao; Huang, Min; Liu, Liping; Xu, Yuesheng 27 2007 Refinable kernels. Zbl 1222.68337 Xu, Yuesheng; Zhang, Haizhang 17 2007 Multi-parameter regularization methods for high-resolution image reconstruction with displacement errors. Zbl 1374.94240 Lu, Yao; Shen, Lixin; Xu, Yuesheng 14 2007 Fast numerical collocation solutions of integral equations. Zbl 1137.65067 Chen, Zhongying; Wu, Bin; Xu, Yuesheng 10 2007 An intracellular delay-differential equation model of the HIV infection and immune control. Zbl 1337.92205 Dumrongpokaphan, T.; Lenbury, Y.; Ouncharoen, R.; Xu, Y. 8 2007 On the matrix completion problem for multivariate filter bank construction. Zbl 1128.65111 Chen, Qiuhui; Micchelli, Charles A.; Xu, Yuesheng 2 2007 Adaptive algorithms of nonlinear approximation with finite terms. Zbl 1126.41008 Wei, Wen Bin; Xu, Yue Sheng; Ye, Pei Xin 2 2007 Wavelet analysis and applications. Selected papers based on the presentations at the conference (WAA 2005), Macau, China, 29th November – 2nd December 2005. With CD-ROM. Zbl 1103.65006 Vai, Mang I 1 2007 Universal kernels. Zbl 1222.68266 Micchelli, Charles A.; Xu, Yuesheng; Zhang, Haizhang 88 2006 A multilevel augmentation method for solving ill-posed operator equations. Zbl 1088.65051 Chen, Zhongying; Xu, Yuesheng; Yang, Hongqi 36 2006 ...and 71 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,674 Authors 94 Xu, Yuesheng 46 Nelakanti, Gnaneshwar 32 Qian, Tao 28 Chen, Zhongying 28 Shen, Lixin 26 Zhang, Haizhang 23 Assari, Pouria 21 Lu, Jian 19 Micchelli, Charles A. 18 Zou, Qingsong 17 Long, Guangqing 16 Dehghan Takht Fooladi, Mehdi 15 Jiang, Ying 15 Li, Yonghai 15 Maleknejad, Khosrow 15 Wang, Rui 14 Panigrahi, Bijaya Laxmi 14 Zhang, Zhimin 13 Cai, Haotao 13 Kaneko, Hideaki 13 Pedas, Arvet 12 Chen, Qiuhui 11 Huang, Jin 11 Tang, Yuchao 10 Kant, Kapil 10 Yang, Hongqi 10 Zhou, Yanhui 9 Brunner, Hermann 9 Chen, Jian 9 Das, Payel 9 Li, Pingrun 9 Luo, Xingjun 9 Mandal, Moumita 9 Sheng, Baohuai 9 Tan, Lihui 9 Ye, Qi 8 Allouch, Chafik 8 Chen, Xiangling 8 Jiang, Qingtang 8 Lin, Rongrong 8 Xu, Chen 8 Yang, Lihua 8 Zeng, Xueying 8 Zhang, Rong 8 Zou, Yuru 7 Deng, Guantie 7 Song, Guohui 7 Tahrichi, Mohamed 7 Vainikko, Gennadi 7 Wang, Xiang 7 Wu, Jiming 7 Yuan, Guangwei 6 Cao, Yanzhao 6 Chakraborty, Samiran 6 Huang, Can 6 Li, Hu 6 Noren, Richard D. 6 Pereverzyev, Sergiy jun. 6 Sbibih, Driss 6 Tamme, Enn 6 Unser, Michael A. 6 Wang, Tongke 6 Weinstein, Stanley E. 6 Wen, Meng 6 Yan, Dunyan 6 Ye, Peixin 6 Zhang, Na 6 Zhang, Yuanyuan 5 Černá, Dana 5 Chui, Charles Kam-tai 5 Deutsch, Frank 5 Dong, Qiaoli 5 Fermo, Luisa 5 Li, Songhua 5 Lin, Fu-Rong 5 Lin, Wei 5 Liu, Songtao 5 Peng, Jigen 5 Potts, Daniel 5 Rane, Akshay S. 5 Rebelo, Magda S. 5 Sahani, Mitali Madhumita 5 Shen, Youjian 5 Shu, Shi 5 Wang, Lilian 5 Wu, Bin 5 Wu, Tingting 5 Xiang, Shuhuang 5 Yang, Min 5 Yang, Suhua 5 Zeng, Taishan 5 Zhang, Xiaoqun 5 Zhang, Yongdong 4 Adibi, Hojatollah 4 Asadi-Mehregan, Fatemeh 4 Cao, Waixiang 4 Cao, Wanrong 4 Cerejeiras, Paula 4 Chen, Zhong 4 Cheng, Sirui ...and 1,574 more Authors all top 5 Cited in 242 Serials 86 Journal of Computational and Applied Mathematics 67 Applied Mathematics and Computation 52 Advances in Computational Mathematics 43 Journal of Integral Equations and Applications 40 Journal of Scientific Computing 35 Applied Numerical Mathematics 28 International Journal of Computer Mathematics 28 Applied and Computational Harmonic Analysis 25 Computers & Mathematics with Applications 21 Numerical Algorithms 19 Journal of Approximation Theory 19 Journal of Complexity 18 Inverse Problems 18 Journal of Mathematical Analysis and Applications 18 Analysis and Applications (Singapore) 17 Numerical Functional Analysis and Optimization 17 Mathematical Problems in Engineering 16 International Journal of Wavelets, Multiresolution and Information Processing 13 Mathematics of Computation 13 Computational and Applied Mathematics 12 Mathematical Methods in the Applied Sciences 12 SIAM Journal on Numerical Analysis 12 Numerical Methods for Partial Differential Equations 11 SIAM Journal on Scientific Computing 10 Acta Mathematica Sinica. 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