World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
47
Citations
8109
World Ranking
1284
National Ranking
573

Overview

Yuesheng Xu is affiliated with Old Dominion University in the United States and has extensive research contributions primarily in the fields of Computer Science, Engineering, and Mathematics.

The scientist's main areas of study include Artificial Intelligence, Computational Mechanics, Mathematical Physics, Numerical Analysis, and Nuclear and High Energy Physics. Xu's research topics cover a broad spectrum such as Sparse and Compressive Sensing Techniques, Numerical Methods in Inverse Problems, Neural Networks and Applications, Advanced Optimization Algorithms Research, Stochastic Gradient Optimization Techniques, Machine Learning and Extreme Learning Machines (ELM), and Medical Imaging Techniques and Applications.

Xu's recent publications reflect a focus on deep learning and neural network theory as well as practical medical imaging applications. Key recent papers include:

  • Convergence of deep convolutional neural networks, 2022, Neural Networks
  • Convergence of deep ReLU networks, 2023, Neurocomputing
  • Synthesis of Mammogram From Digital Breast Tomosynthesis Using Deep Convolutional Neural Network With Gradient Guided cGANs, 2021, IEEE Transactions on Medical Imaging

Other notable papers connected to Xu's general field of research include works on particle physics applications and algorithmic approaches in entropy estimation, though not authored by Xu directly.

Xu collaborates frequently with several coauthors, among the most common being Haizhang Zhang, Yizun Lin, C. Ross Schmidtlein, Andrzej Król, and Rui Wang. These collaborations span interdisciplinary topics in computational mathematics and engineering.

Various publication venues have hosted Xu's research outputs, prominently including arXiv (Cornell University) with numerous preprints, the Journal of Integral Equations and Applications, Neural Networks, IEEE Transactions on Medical Imaging, and the Journal of Complexity.

Best Publications

  • High speed BLASTN: an accelerated MegaBLAST search tool

    Ying Chen;Weicai Ye;Yongdong Zhang;Yuesheng Xu

  • Universal Kernels

    Charles A. Micchelli;Yuesheng Xu;Haizhang Zhang

  • Gearbox fault diagnosis using empirical mode decomposition and Hilbert spectrum

    B. Liu;S. Riemenschneider;Y. Xu

  • A B-spline approach for empirical mode decompositions

    Qiuhui Chen;Norden E. Huang;Sherman D. Riemenschneider;Yuesheng Xu

  • Proximity algorithms for image models: denoising

    Charles A. Micchelli;Charles A. Micchelli;Lixin Shen;Yuesheng Xu;Yuesheng Xu

  • Wavelet analysis and applications

    Icwaa;Tao Qian;Mang I Vai;Yuesheng Xu

  • Using the Matrix Refinement Equation for the Construction of Wavelets on Invariant Sets

    Charles A. Micchelli;Yuesheng Xu

  • Deterministic convergence of an online gradient method for BP neural networks

    Wei Wu;Guorui Feng;Zhengxue Li;Yuesheng Xu

  • Reproducing Kernel Banach Spaces for Machine Learning

    Haizhang Zhang;Yuesheng Xu;Jun Zhang

  • Two-dimensional empirical mode decomposition by finite elements

    Y Xu;B Liu;J Liu;S Riemenschneider

  • A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels

    Yanzhao Cao;Terry Herdman;Yuesheng Xu

  • Fast Collocation Methods for Second Kind Integral Equations

    Zhongying Chen;Charles A. Micchelli;Yuesheng Xu

  • Gauss-type quadratures for weakly singular integrals and their application to Fredholm integral equations of the second kind

    Hideaki Kaneko;Yuesheng Xu

  • Reconstruction and Decomposition Algorithms for Biorthogonal Multiwavelets

    Charles A. Micchelli;Yuesheng Xu

  • Hierarchical entropy analysis for biological signals

    Ying Jiang;C. K. Peng;Yuesheng Xu

  • Nonlinear functionals of wavelet expansions – adaptive reconstruction and fast evaluation

    Wolfgang Dahmen;Reinhold Schneider;Yuesheng Xu

  • Higher-order finite volume methods for elliptic boundary value problems

    Zhongying Chen;Junfeng Wu;Yuesheng Xu

  • Superconvergence of the iterated Galerkin methods for Hammerstein equations

    Hideaki Kaneko;Yuesheng Xu

  • The Petrov--Galerkin and Iterated Petrov--Galerkin Methods for Second-Kind Integral Equations

    Zhongying Chen;Yuesheng Xu

  • The Petrov–Galerkin method for second kind integral equations II: multiwavelet schemes

    Zhongying Chen;Charles A. Micchelli;Yuesheng Xu

  • The Bedrosian identity for the Hilbert transform of product functions

    Yuesheng Xu;Dunyan Yan

  • Deterministic convergence of an online gradient method for neural networks

    Wei Wu;Yuesheng Xu

Frequent Co-Authors

Charles A. Micchelli
Charles A. Micchelli University at Albany, State University of New York
John L. Humm
John L. Humm Memorial Sloan Kettering Cancer Center
Jinchao Xu
Jinchao Xu Pennsylvania State University
Massimiliano Pontil
Massimiliano Pontil Italian Institute of Technology
Reinhold Schneider
Reinhold Schneider Technical University of Berlin
Axel Wismüller
Axel Wismüller University of Rochester
Joseph D. Ward
Joseph D. Ward Texas A&M University
Wolfgang Dahmen
Wolfgang Dahmen University of South Carolina
Hermann Brunner
Hermann Brunner Hong Kong Baptist University

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