Yuesheng Xu

Orcid: 0000-0003-3965-3087

According to our database1, Yuesheng Xu authored at least 106 papers between 1995 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Uniform Convergence of Deep Neural Networks With Lipschitz Continuous Activation Functions and Variable Widths.
IEEE Trans. Inf. Theory, October, 2024

Inexact Fixed-Point Proximity Algorithm for the ℓ <sub>0</sub> Sparse Regularization Problem.
J. Sci. Comput., August, 2024

A duality approach to regularized learning problems in Banach spaces.
J. Complex., April, 2024

Convergence of deep ReLU networks.
Neurocomputing, February, 2024

Sparse Representer Theorems for Learning in Reproducing Kernel Banach Spaces.
J. Mach. Learn. Res., 2024

A Dynamic Weighting Strategy to Mitigate Worker Node Failure in Distributed Deep Learning.
CoRR, 2024

Sparse Deep Learning Models with the ℓ<sub>1</sub> Regularization.
CoRR, 2024

Incorporating Domain Differential Equations into Graph Convolutional Networks to Lower Generalization Discrepancy.
CoRR, 2024

Hypothesis Spaces for Deep Learning.
CoRR, 2024

Deep Neural Network Solutions for Oscillatory Fredholm Integral Equations.
CoRR, 2024

2023
Multi-Grade Deep Learning for Partial Differential Equations with Applications to the Burgers Equation.
CoRR, 2023

Successive Affine Learning for Deep Neural Networks.
CoRR, 2023

A Non-gradient DG method for second-order Elliptic Equations in the Non-divergence Form.
CoRR, 2023

Multi-Grade Deep Learning.
CoRR, 2023

2022
A Fast Convergent Ordered-Subsets Algorithm With Subiteration-Dependent Preconditioners for PET Image Reconstruction.
IEEE Trans. Medical Imaging, 2022

Convergence of deep convolutional neural networks.
Neural Networks, 2022

Inverting Incomplete Fourier Transforms by a Sparse Regularization Model and Applications in Seismic Wavefield Modeling.
J. Sci. Comput., 2022

A Super Fast Algorithm for Estimating Sample Entropy.
Entropy, 2022

Sparse Deep Neural Network for Nonlinear Partial Differential Equations.
CoRR, 2022

Parameter Choices for Sparse Regularization with the 𝓁<sub>1</sub> Norm.
CoRR, 2022

2021
Synthesis of Mammogram From Digital Breast Tomosynthesis Using Deep Convolutional Neural Network With Gradient Guided cGANs.
IEEE Trans. Medical Imaging, 2021

Representer Theorems in Banach Spaces: Minimum Norm Interpolation, Regularized Learning and Semi-Discrete Inverse Problems.
J. Mach. Learn. Res., 2021

Fixed-point proximity algorithms solving an incomplete Fourier transform model for seismic wavefield modeling.
J. Comput. Appl. Math., 2021

Regularization in a functional reproducing kernel Hilbert space.
J. Complex., 2021

Convergence Rate Analysis for Fixed-Point Iterations of Generalized Averaged Nonexpansive Operators.
CoRR, 2021

An L<sup>p</sup>-weak Galerkin method for second order elliptic equations in non-divergence form.
CoRR, 2021

A deblurring/denoising corrected scintigraphic planar image reconstruction model for targeted alpha therapy.
Proceedings of the Medical Imaging 2021: Biomedical Applications in Molecular, 2021

Certification and Trade-off of Multiple Fairness Criteria in Graph-based Spam Detection.
Proceedings of the CIKM '21: The 30th ACM International Conference on Information and Knowledge Management, Virtual Event, Queensland, Australia, November 1, 2021

2020
Multiplicative Noise Removal: Nonlocal Low-Rank Model and Its Proximal Alternating Reweighted Minimization Algorithm.
SIAM J. Imaging Sci., 2020

2019
A Krasnoselskii-Mann Algorithm With an Improved EM Preconditioner for PET Image Reconstruction.
IEEE Trans. Medical Imaging, 2019

A Higher-Order Polynomial Method for SPECT Reconstruction.
IEEE Trans. Medical Imaging, 2019

Computing Integrals Involved the Gaussian Function with a Small Standard Deviation.
J. Sci. Comput., 2019

A Two-Step Fixed-Point Proximity Algorithm for a Class of Non-differentiable Optimization Models in Machine Learning.
J. Sci. Comput., 2019

Dynamic PET cardiac and parametric image reconstruction: a fixed-point proximity gradient approach using patch-based DCT and tensor SVD regularization.
CoRR, 2019

Synthesize Mammogram from Digital Breast Tomosynthesis with Gradient Guided cGANs.
Proceedings of the Medical Image Computing and Computer Assisted Intervention - MICCAI 2019, 2019

2018
Computing highly oscillatory integrals.
Math. Comput., 2018

A Fully Discrete Fast Fourier-Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation.
J. Sci. Comput., 2018

2017
Two-Step Fixed-Point Proximity Algorithms for Multi-block Separable Convex Problems.
J. Sci. Comput., 2017

H-BLAST: a fast protein sequence alignment toolkit on heterogeneous computers with GPUs.
Bioinform., 2017

A fast discrete spectral method for stochastic partial differential equations.
Adv. Comput. Math., 2017

2016
Minimizing Compositions of Functions Using Proximity Algorithms with Application in Image Deblurring.
Frontiers Appl. Math. Stat., 2016

2015
A construction of higher-order finite volume methods.
Math. Comput., 2015

A fast and accurate algorithm for ℓ <sub>1</sub> minimization problems in compressive sampling.
EURASIP J. Adv. Signal Process., 2015

Multi-step fixed-point proximity algorithms for solving a class of optimization problems arising from image processing.
Adv. Comput. Math., 2015

2014
A Fast Fourier-Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation.
SIAM J. Numer. Anal., 2014

Fast computation of the multidimensional discrete Fourier transform and discrete backward Fourier transform on sparse grids.
Math. Comput., 2014

Higher-order finite volume methods II: Inf-sup condition and uniform local ellipticity.
J. Comput. Appl. Math., 2014

Reprint of "Nesterov's algorithm solving dual formulation for compressed sensing".
J. Comput. Appl. Math., 2014

Nesterov's algorithm solving dual formulation for compressed sensing.
J. Comput. Appl. Math., 2014

Orthogonal polynomial expansions on sparse grids.
J. Complex., 2014

2013
Fast Fourier-Galerkin Methods for Nonlinear Boundary Integral Equations.
J. Sci. Comput., 2013

On computing with the Hilbert spline transform.
Adv. Comput. Math., 2013

Proximity algorithms for the L1/TV image denoising model.
Adv. Comput. Math., 2013

Finite rank kernels for multi-task learning.
Adv. Comput. Math., 2013

2012
Multilevel preconditioning for the finite volume method.
Math. Comput., 2012

Refinement of Operator-valued Reproducing Kernels.
J. Mach. Learn. Res., 2012

Preface.
Adv. Comput. Math., 2012

Higher-order finite volume methods for elliptic boundary value problems.
Adv. Comput. Math., 2012

2011
Fast Multilevel Augmentation Methods for Nonlinear Boundary Integral Equations.
SIAM J. Numer. Anal., 2011

Hierarchical entropy analysis for biological signals.
J. Comput. Appl. Math., 2011

B-spline quasi-interpolation on sparse grids.
J. Complex., 2011

Efficient First Order Methods for Linear Composite Regularizers
CoRR, 2011

A Fast Algorithm for Computing Sample Entropy.
Adv. Data Sci. Adapt. Anal., 2011

2010
Fast Fourier-Galerkin methods for solving singular boundary integral equations: Numerical integration and precondition.
J. Comput. Appl. Math., 2010

Approximation of high-dimensional kernel matrices by multilevel circulant matrices.
J. Complex., 2010

Fast discrete algorithms for sparse Fourier expansions of high dimensional functions.
J. Complex., 2010

Orthonormal bases with nonlinear phases.
Adv. Comput. Math., 2010

2009
Fast Multilevel Augmentation Methods for Solving Hammerstein Equations.
SIAM J. Numer. Anal., 2009

A Fast Collocation Method for Solving Stochastic Integral Equations.
SIAM J. Numer. Anal., 2009

A Fast Collocation Method for Eigen-Problems of Weakly Singular Integral Operators.
J. Sci. Comput., 2009

Reproducing Kernel Banach Spaces for Machine Learning.
J. Mach. Learn. Res., 2009

Refinement of Reproducing Kernels.
J. Mach. Learn. Res., 2009

Optimal learning of bandlimited functions from localized sampling.
J. Complex., 2009

Preface.
Adv. Comput. Math., 2009

Multiparameter regularization for Volterra kernel identification via multiscale collocation methods.
Adv. Comput. Math., 2009

Recent Mathematical Developments on Empirical Mode Decomposition.
Adv. Data Sci. Adapt. Anal., 2009

Fast Nonlinear Fourier Expansions.
Adv. Data Sci. Adapt. Anal., 2009

2008
A Fast Fourier-Galerkin Method for Solving Singular Boundary Integral Equations.
SIAM J. Numer. Anal., 2008

On translation invariant operators which preserve the B-spline recurrence.
Adv. Comput. Math., 2008

Initial Experiences with the BEC Parallel Programming Environment.
Proceedings of the 7th International Symposium on Parallel and Distributed Computing (ISPDC 2008), 2008

2007
Multi-Parameter Regularization Methods for High-Resolution Image Reconstruction With Displacement Errors.
IEEE Trans. Circuits Syst. I Regul. Pap., 2007

Refinable Kernels.
J. Mach. Learn. Res., 2007

On the matrix completion problem for multivariate filter bank construction.
Adv. Comput. Math., 2007

2006
Galerkin Methods Based on Hermite Splines for Singular Perturbation Problems.
SIAM J. Numer. Anal., 2006

Universal Kernels.
J. Mach. Learn. Res., 2006

An analysis of discontinuous Galerkin methods for elliptic problems.
Adv. Comput. Math., 2006

Multilevel augmentation methods for differential equations.
Adv. Comput. Math., 2006

A B-spline approach for empirical mode decompositions.
Adv. Comput. Math., 2006

2005
Deterministic convergence of an online gradient method for BP neural networks.
IEEE Trans. Neural Networks, 2005

2004
An Implementation of Fast Wavelet Galerkin Methods for Integral Equations of the Second Kind.
J. Sci. Comput., 2004

Limit Values of Derivatives of the Cauchy Integrals and Computation of the Logarithmic Potentials.
Computing, 2004

The Cascade Algorithm for the Numerical Computation of Refinable Functions.
Adv. Comput. Math., 2004

Recent Developments on Convergence of Online Gradient Methods for Neural Network Training.
Proceedings of the Advances in Neural Networks, 2004

2003
A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels.
SIAM J. Numer. Anal., 2003

Multivariate Filter Banks Having Matrix Factorizations.
SIAM J. Matrix Anal. Appl., 2003

Adaptive Wavelet Methods for Elliptic Operator Equations with Nonlinear Terms.
Adv. Comput. Math., 2003

2002
Fast Collocation Methods for Second Kind Integral Equations.
SIAM J. Numer. Anal., 2002

Discrete Wavelet Petrov-Galerkin Methods.
Adv. Comput. Math., 2002

2000
Nonlinear functionals of wavelet expansions - adaptive reconstruction and fast evaluation.
Numerische Mathematik, 2000

1999
A construction of interpolating wavelets on invariant sets.
Math. Comput., 1999

1997
Reconstruction and Decomposition Algorithms for Biorthogonal Multiwavelets.
Multidimens. Syst. Signal Process., 1997

The Petrov-Galerkin method for second kind integral equations II: multiwavelet schemes.
Adv. Comput. Math., 1997

Distances between oriented curves in geometric modeling.
Adv. Comput. Math., 1997

1996
An extrapolation method for a class of boundary integral equations.
Math. Comput., 1996

Derivative corrections for quadrature formulas.
Adv. Comput. Math., 1996

1995
Degree reduction of Bézier curves by uniform approximation with endpoint interpolation.
Comput. Aided Des., 1995


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