Degree reduction of Bézier curves by uniform approximation with endpoint interpolation. - Przemyslaw Bogacki; Stanley E. Weinstein; Yuesheng Xu (Comput. Aided Des., 1995)

Derivative corrections for quadrature formulas. - William F. Ford; Yuesheng Xu; Yunhe Zhao (Adv. Comput. Math., 1996)

An extrapolation method for a class of boundary integral equations. - Yuesheng Xu; Yunhe Zhao (Math. Comput., 1996)

Distances between oriented curves in geometric modeling. - Przemyslaw Bogacki; Stanley E. Weinstein; Yuesheng Xu (Adv. Comput. Math., 1997)

The Petrov-Galerkin method for second kind integral equations II: multiwavelet schemes. - Zhongying Chen; Charles A. Micchelli; Yuesheng Xu (Adv. Comput. Math., 1997)

Reconstruction and Decomposition Algorithms for Biorthogonal Multiwavelets. - Charles A. Micchelli; Yuesheng Xu (Multidimens. Syst. Signal Process., 1997)

A construction of interpolating wavelets on invariant sets. - Zhongying Chen; Charles A. Micchelli; Yuesheng Xu (Math. Comput., 1999)

Nonlinear functionals of wavelet expansions - adaptive reconstruction and fast evaluation. - Wolfgang Dahmen; Reinhold Schneider; Yuesheng Xu (Numerische Mathematik, 2000)

Discrete Wavelet Petrov-Galerkin Methods. - Zhongying Chen; Charles A. Micchelli; Yuesheng Xu (Adv. Comput. Math., 2002)

Fast Collocation Methods for Second Kind Integral Equations. - Zhongying Chen; Charles A. Micchelli; Yuesheng Xu (SIAM J. Numer. Anal., 2002)

Adaptive Wavelet Methods for Elliptic Operator Equations with Nonlinear Terms. - Yuesheng Xu; Qingsong Zou (Adv. Comput. Math., 2003)

Multivariate Filter Banks Having Matrix Factorizations. - Qiuhui Chen; Charles A. Micchelli; Silong Peng; Yuesheng Xu (SIAM J. Matrix Anal. Appl., 2003)

A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels. - Yanzhao Cao; Terry Herdman; Yuesheng Xu (SIAM J. Numer. Anal., 2003)

Recent Developments on Convergence of Online Gradient Methods for Neural Network Training. - Wei Wu 010; Zhengxue Li; Guorui Feng; Naimin Zhang; Dong Nan; Zhiqiong Shao; Jie Yang 007; Liqing Zhang; Yuesheng Xu (ISNN (1), 2004)

The Cascade Algorithm for the Numerical Computation of Refinable Functions. - Qiuhui Chen; Yuesheng Xu (Adv. Comput. Math., 2004)

Limit Values of Derivatives of the Cauchy Integrals and Computation of the Logarithmic Potentials. - Yuesheng Xu; Han-lin Chen; Qingsong Zou (Computing, 2004)

An Implementation of Fast Wavelet Galerkin Methods for Integral Equations of the Second Kind. - Weifu Fang; Yi Wang; Yuesheng Xu (J. Sci. Comput., 2004)

Deterministic convergence of an online gradient method for BP neural networks. - Wei Wu 010; Guorui Feng; Zhengxue Li; Yuesheng Xu (IEEE Trans. Neural Networks, 2005)

A B-spline approach for empirical mode decompositions. - Qiuhui Chen; Norden E. Huang; Sherman D. Riemenschneider; Yuesheng Xu (Adv. Comput. Math., 2006)

Multilevel augmentation methods for differential equations. - Zhongying Chen; Bin Wu; Yuesheng Xu (Adv. Comput. Math., 2006)

An analysis of discontinuous Galerkin methods for elliptic problems. - Reinhold Schneider; Yuesheng Xu; Aihui Zhou (Adv. Comput. Math., 2006)

Universal Kernels. - Charles A. Micchelli; Yuesheng Xu; Haizhang Zhang (J. Mach. Learn. Res., 2006)

Galerkin Methods Based on Hermite Splines for Singular Perturbation Problems. - Song-Tao Liu; Yuesheng Xu (SIAM J. Numer. Anal., 2006)

On the matrix completion problem for multivariate filter bank construction. - Qiuhui Chen; Charles A. Micchelli; Yuesheng Xu (Adv. Comput. Math., 2007)

Refinable Kernels. - Yuesheng Xu; Haizhang Zhang (J. Mach. Learn. Res., 2007)

Multi-Parameter Regularization Methods for High-Resolution Image Reconstruction With Displacement Errors. - Yao Lu; Lixin Shen; Yuesheng Xu (IEEE Trans. Circuits Syst. I Regul. Pap., 2007)

Initial Experiences with the BEC Parallel Programming Environment. - Mike Heroux; Zhaofang Wen; Junfeng Wu; Yuesheng Xu (ISPDC, 2008)

On translation invariant operators which preserve the B-spline recurrence. - Charles A. Micchelli; Yuesheng Xu; Haizhang Zhang (Adv. Comput. Math., 2008)

A Fast Fourier-Galerkin Method for Solving Singular Boundary Integral Equations. - Haotao Cai; Yuesheng Xu (SIAM J. Numer. Anal., 2008)

Fast Nonlinear Fourier Expansions. - Rui Wang 096; Yuesheng Xu; Haizhang Zhang (Adv. Data Sci. Adapt. Anal., 2009)

Recent Mathematical Developments on Empirical Mode Decomposition. - Yuesheng Xu; Haizhang Zhang (Adv. Data Sci. Adapt. Anal., 2009)

Multiparameter regularization for Volterra kernel identification via multiscale collocation methods. - Marty Brenner; Ying Jiang 002; Yuesheng Xu (Adv. Comput. Math., 2009)

Preface. - Lixin Shen; Yuesheng Xu (Adv. Comput. Math., 2009)

Optimal learning of bandlimited functions from localized sampling. - Charles A. Micchelli; Yuesheng Xu; Haizhang Zhang (J. Complex., 2009)

Refinement of Reproducing Kernels. - Yuesheng Xu; Haizhang Zhang (J. Mach. Learn. Res., 2009)

Reproducing Kernel Banach Spaces for Machine Learning. - Haizhang Zhang; Yuesheng Xu; Jun Zhang 009 (J. Mach. Learn. Res., 2009)

A Fast Collocation Method for Eigen-Problems of Weakly Singular Integral Operators. - Zhongying Chen; Gnaneshwar Nelakanti; Yuesheng Xu; Yongdong Zhang 002 (J. Sci. Comput., 2009)

A Fast Collocation Method for Solving Stochastic Integral Equations. - Yanzhao Cao; Bin Wu; Yuesheng Xu (SIAM J. Numer. Anal., 2009)

Fast Multilevel Augmentation Methods for Solving Hammerstein Equations. - Zhongying Chen; Bin Wu; Yuesheng Xu (SIAM J. Numer. Anal., 2009)

Orthonormal bases with nonlinear phases. - Tao Qian; Rui Wang 096; Yuesheng Xu; Haizhang Zhang (Adv. Comput. Math., 2010)

Fast discrete algorithms for sparse Fourier expansions of high dimensional functions. - Ying Jiang 002; Yuesheng Xu (J. Complex., 2010)

Approximation of high-dimensional kernel matrices by multilevel circulant matrices. - Guohui Song; Yuesheng Xu (J. Complex., 2010)

Fast Fourier-Galerkin methods for solving singular boundary integral equations: Numerical integration and precondition. - Ying Jiang 002; Yuesheng Xu (J. Comput. Appl. Math., 2010)

A Fast Algorithm for Computing Sample Entropy. - Ying Jiang 002; Dong Mao; Yuesheng Xu (Adv. Data Sci. Adapt. Anal., 2011)

Efficient First Order Methods for Linear Composite Regularizers - Andreas Argyriou; Charles A. Micchelli; Massimiliano Pontil; Lixin Shen; Yuesheng Xu (CoRR, 2011)

B-spline quasi-interpolation on sparse grids. - Ying Jiang 002; Yuesheng Xu (J. Complex., 2011)

Hierarchical entropy analysis for biological signals. - Ying Jiang 002; Chung-Kang Peng; Yuesheng Xu (J. Comput. Appl. Math., 2011)

Fast Multilevel Augmentation Methods for Nonlinear Boundary Integral Equations. - Xiangling Chen; Zhongying Chen; Bin Wu; Yuesheng Xu (SIAM J. Numer. Anal., 2011)

Higher-order finite volume methods for elliptic boundary value problems. - Zhongying Chen; Junfeng Wu; Yuesheng Xu (Adv. Comput. Math., 2012)

Preface. - Yuesheng Xu; Hongqi Yang (Adv. Comput. Math., 2012)

Refinement of Operator-valued Reproducing Kernels. - Haizhang Zhang; Yuesheng Xu; Qinghui Zhang (J. Mach. Learn. Res., 2012)

Multilevel preconditioning for the finite volume method. - Yonghai Li; Shi Shu; Yuesheng Xu; Qingsong Zou (Math. Comput., 2012)

Finite rank kernels for multi-task learning. - Jianqiang Liu; Charles A. Micchelli; Rui Wang 096; Yuesheng Xu (Adv. Comput. Math., 2013)

Proximity algorithms for the L1/TV image denoising model. - Charles A. Micchelli; Lixin Shen; Yuesheng Xu; Xueying Zeng (Adv. Comput. Math., 2013)

On computing with the Hilbert spline transform. - Charles A. Micchelli; Yuesheng Xu; Bo Yu (Adv. Comput. Math., 2013)

Fast Fourier-Galerkin Methods for Nonlinear Boundary Integral Equations. - Xiangling Chen; Rui Wang 096; Yuesheng Xu (J. Sci. Comput., 2013)

Orthogonal polynomial expansions on sparse grids. - Yanzhao Cao; Ying Jiang 002; Yuesheng Xu (J. Complex., 2014)

Nesterov's algorithm solving dual formulation for compressed sensing. - Feishe Chen; Lixin Shen; Bruce Wilsey Suter; Yuesheng Xu (J. Comput. Appl. Math., 2014)

Reprint of "Nesterov's algorithm solving dual formulation for compressed sensing". - Feishe Chen; Lixin Shen; Bruce Wilsey Suter; Yuesheng Xu (J. Comput. Appl. Math., 2014)

Higher-order finite volume methods II: Inf-sup condition and uniform local ellipticity. - Zhongying Chen; Yuesheng Xu; Yuanyuan Zhang (J. Comput. Appl. Math., 2014)

Fast computation of the multidimensional discrete Fourier transform and discrete backward Fourier transform on sparse grids. - Ying Jiang 002; Yuesheng Xu (Math. Comput., 2014)

A Fast Fourier-Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation. - Ying Jiang 002; Bo Wang 045; Yuesheng Xu (SIAM J. Numer. Anal., 2014)

Multi-step fixed-point proximity algorithms for solving a class of optimization problems arising from image processing. - Qia Li; Lixin Shen; Yuesheng Xu; Na Zhang (Adv. Comput. Math., 2015)

A fast and accurate algorithm for ℓ 1 minimization problems in compressive sampling. - Feishe Chen; Lixin Shen; Bruce W. Suter; Yuesheng Xu (EURASIP J. Adv. Signal Process., 2015)

A construction of higher-order finite volume methods. - Zhongying Chen; Yuesheng Xu; Yuanyuan Zhang (Math. Comput., 2015)

Minimizing Compositions of Functions Using Proximity Algorithms with Application in Image Deblurring. - Feishe Chen; Lixin Shen; Bruce W. Suter; Yuesheng Xu (Frontiers Appl. Math. Stat., 2016)

A fast discrete spectral method for stochastic partial differential equations. - Yanzhao Cao; Ying Jiang 002; Yuesheng Xu (Adv. Comput. Math., 2017)

H-BLAST: a fast protein sequence alignment toolkit on heterogeneous computers with GPUs. - Weicai Ye; Ying Chen; Yongdong Zhang 002; Yuesheng Xu (Bioinform., 2017)

Two-Step Fixed-Point Proximity Algorithms for Multi-block Separable Convex Problems. - Qia Li; Yuesheng Xu; Na Zhang (J. Sci. Comput., 2017)

A Fully Discrete Fast Fourier-Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation. - Ying Jiang 002; Bo Wang 045; Yuesheng Xu (J. Sci. Comput., 2018)

Computing highly oscillatory integrals. - Yunyun Ma; Yuesheng Xu (Math. Comput., 2018)

Synthesize Mammogram from Digital Breast Tomosynthesis with Gradient Guided cGANs. - Gongfa Jiang; Yao Lu 007; Jun Wei 002; Yuesheng Xu (MICCAI (6), 2019)

Dynamic PET cardiac and parametric image reconstruction: a fixed-point proximity gradient approach using patch-based DCT and tensor SVD regularization. - Ida Häggström; Yizun Lin; Si Li; Andrzej Król; Yuesheng Xu; Charles Ross Schmidtlein (CoRR, 2019)

A Two-Step Fixed-Point Proximity Algorithm for a Class of Non-differentiable Optimization Models in Machine Learning. - Zheng Li; Guohui Song; Yuesheng Xu (J. Sci. Comput., 2019)

Computing Integrals Involved the Gaussian Function with a Small Standard Deviation. - Yunyun Ma; Yuesheng Xu (J. Sci. Comput., 2019)

A Higher-Order Polynomial Method for SPECT Reconstruction. - Ying Jiang 002; Si Li; Yuesheng Xu (IEEE Trans. Medical Imaging, 2019)

A Krasnoselskii-Mann Algorithm With an Improved EM Preconditioner for PET Image Reconstruction. - Yizun Lin; Charles Ross Schmidtlein; Qia Li; Si Li; Yuesheng Xu (IEEE Trans. Medical Imaging, 2019)

Multiplicative Noise Removal: Nonlocal Low-Rank Model and Its Proximal Alternating Reweighted Minimization Algorithm. - Xiaoxia Liu; Jian Lu 002; Lixin Shen; Chen Xu 004; Yuesheng Xu (SIAM J. Imaging Sci., 2020)

Certification and Trade-off of Multiple Fairness Criteria in Graph-based Spam Detection. - Kai Burkholder; Kenny Kwock; Yuesheng Xu; Jiaxin Liu; Chao Chen; Sihong Xie (CIKM, 2021)

A deblurring/denoising corrected scintigraphic planar image reconstruction model for targeted alpha therapy. - Charles Ross Schmidtlein; Matthew Maroun; Andrzej Król; Howard C. Gifford; Lisa Bodei; Joseph O'Donoghue; Ida Häggström; Yuesheng Xu; Si Li (Biomedical Applications in Molecular, Structural, and Functional Imaging, 2021)

An Lp-weak Galerkin method for second order elliptic equations in non-divergence form. - Waixiang Cao; Junping Wang; Yuesheng Xu (CoRR, 2021)

Convergence Rate Analysis for Fixed-Point Iterations of Generalized Averaged Nonexpansive Operators. - Yizun Lin; Yuesheng Xu (CoRR, 2021)

Regularization in a functional reproducing kernel Hilbert space. - Rui Wang 096; Yuesheng Xu (J. Complex., 2021)

Fixed-point proximity algorithms solving an incomplete Fourier transform model for seismic wavefield modeling. - Tingting Wu; Lixin Shen; Yuesheng Xu (J. Comput. Appl. Math., 2021)

Representer Theorems in Banach Spaces: Minimum Norm Interpolation, Regularized Learning and Semi-Discrete Inverse Problems. - Rui Wang 096; Yuesheng Xu (J. Mach. Learn. Res., 2021)

Synthesis of Mammogram From Digital Breast Tomosynthesis Using Deep Convolutional Neural Network With Gradient Guided cGANs. - Gongfa Jiang; Jun Wei 002; Yuesheng Xu; Zilong He; Hui Zeng; Jiefang Wu; Genggeng Qin; Weiguo Chen; Yao Lu 007 (IEEE Trans. Medical Imaging, 2021)

Parameter Choices for Sparse Regularization with the 𝓁1 Norm. - Qianru Liu; Rui Wang 096; Yuesheng Xu; Mingsong Yan (CoRR, 2022)

Sparse Deep Neural Network for Nonlinear Partial Differential Equations. - Yuesheng Xu; Taishan Zeng (CoRR, 2022)

A Super Fast Algorithm for Estimating Sample Entropy. - Weifeng Liu; Ying Jiang 002; Yuesheng Xu (Entropy, 2022)

Inverting Incomplete Fourier Transforms by a Sparse Regularization Model and Applications in Seismic Wavefield Modeling. - Tingting Wu; Yuesheng Xu (J. Sci. Comput., 2022)

Convergence of deep convolutional neural networks. - Yuesheng Xu; Haizhang Zhang (Neural Networks, 2022)

A Fast Convergent Ordered-Subsets Algorithm With Subiteration-Dependent Preconditioners for PET Image Reconstruction. - Jianfeng Guo; Charles Ross Schmidtlein; Andrzej Król; Si Li; Yizun Lin; Sangtae Ahn; Charles W. Stearns; Yuesheng Xu (IEEE Trans. Medical Imaging, 2022)

Multi-Grade Deep Learning. - Yuesheng Xu (CoRR, 2023)

A Non-gradient DG method for second-order Elliptic Equations in the Non-divergence Form. - Weifeng Qiu; Jin Ren; Ke Shi 005; Yuesheng Xu (CoRR, 2023)

Successive Affine Learning for Deep Neural Networks. - Yuesheng Xu (CoRR, 2023)

Multi-Grade Deep Learning for Partial Differential Equations with Applications to the Burgers Equation. - Yuesheng Xu; Taishan Zeng (CoRR, 2023)

A Dynamic Weighting Strategy to Mitigate Worker Node Failure in Distributed Deep Learning. - Yuesheng Xu; Arielle Carr (HPEC, 2024)

Addressing Spectral Bias of Deep Neural Networks by Multi-Grade Deep Learning. - Ronglong Fang; Yuesheng Xu (NeurIPS, 2024)

Deep Neural Network Solutions for Oscillatory Fredholm Integral Equations. - Jie Jiang; Yuesheng Xu (CoRR, 2024)

Hypothesis Spaces for Deep Learning. - Rui Wang; Yuesheng Xu; Mingsong Yan (CoRR, 2024)

Incorporating Domain Differential Equations into Graph Convolutional Networks to Lower Generalization Discrepancy. - Yue Sun; Chao Chen; Yuesheng Xu; Sihong Xie; Rick S. Blum; Parv Venkitasubramaniam (CoRR, 2024)

Sparse Deep Learning Models with the ℓ1 Regularization. - Lixin Shen; Rui Wang 096; Yuesheng Xu; Mingsong Yan (CoRR, 2024)

Sparse Representer Theorems for Learning in Reproducing Kernel Banach Spaces. - Rui Wang 096; Yuesheng Xu; Mingsong Yan (J. Mach. Learn. Res., 2024)

Convergence of deep ReLU networks. - Yuesheng Xu; Haizhang Zhang (Neurocomputing, 2024)

A duality approach to regularized learning problems in Banach spaces. - Raymond Cheng; Rui Wang 096; Yuesheng Xu (J. Complex., 2024)

Inexact Fixed-Point Proximity Algorithm for the ℓ 0 Sparse Regularization Problem. - Ronglong Fang; Yuesheng Xu; Mingsong Yan (J. Sci. Comput., 2024)

Uniform Convergence of Deep Neural Networks With Lipschitz Continuous Activation Functions and Variable Widths. - Yuesheng Xu; Haizhang Zhang (IEEE Trans. Inf. Theory, 2024)

Parameter Choices for Sparse Multi-Parameter Regularization with the ℓ1 Norm. - Qianru Liu; Rui Wang; Yuesheng Xu (CoRR, 2025)

Computational Advantages of Multi-Grade Deep Learning: Convergence Analysis and Performance Insights. - Ronglong Fang; Yuesheng Xu (CoRR, 2025)