World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
47
Citations
8109
World Ranking
1284
National Ranking
574

Yuesheng Xu publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Yuesheng Xu sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 246 publications — 76th percentile

76% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Yuesheng Xu D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Yuesheng Xu sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 47 D-Index — 66th percentile

66% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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
Reinhold Schneider
Reinhold Schneider Technical University of Berlin
Tao Qian
Tao Qian Macau University of Science and Technology
Massimiliano Pontil
Massimiliano Pontil Italian Institute of Technology
Axel Wismüller
Axel Wismüller University of Rochester
Wolfgang Dahmen
Wolfgang Dahmen University of South Carolina
Hermann Brunner
Hermann Brunner Hong Kong Baptist University
Joseph D. Ward
Joseph D. Ward Texas A&M University

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