World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
34
Citations
4239
World Ranking
2938
National Ranking
144

Xiao-Shan Gao 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 Xiao-Shan Gao 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: 214 publications — 67th percentile

67% of scientists in this discipline score the same or lower.

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

Xiao-Shan Gao 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 Xiao-Shan Gao 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: 34 D-Index — 21st percentile

21% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2013 - ACM Senior Member

Overview

Xiao-Shan Gao is a researcher affiliated with the Chinese Academy of Sciences in China. Their research spans primarily the fields of Computer Science and Engineering, with notable emphasis on Artificial Intelligence, Computational Theory and Mathematics, Control and Systems Engineering, Mechanical Engineering, and Computational Mechanics.

Gao's work addresses several main topics of interest:

  • Adversarial Robustness in Machine Learning
  • Coding theory and cryptography
  • Polynomial and algebraic computation
  • Anomaly Detection Techniques and Applications
  • Robotic Mechanisms and Dynamics
  • Quantum Computing Algorithms and Architecture
  • Advanced Numerical Analysis Techniques

Their recent publications include the following papers:

  • QDNN: deep neural networks with quantum layers, 2021, Quantum Machine Intelligence
  • Improving creep property of additively manufactured Inconel 718 through specifically-designed post heat treatments, 2022, Materials Science and Engineering A
  • Quantum Algorithm for Boolean Equation Solving and Quantum Algebraic Attack on Cryptosystems, 2021, Journal of Systems Science and Complexity
  • Vision-guided manipulator operating system based on CSRT algorithm, 2022, International Journal of Hydromechatronics
  • Isometric 3D Adversarial Examples in the Physical World, 2022, arXiv (Cornell University)

Xiao-Shan Gao frequently publishes in the following venues:

  • arXiv (Cornell University)
  • Journal of Systems Science and Complexity
  • Entropy
  • Journal of Computational Design and Engineering
  • IEEE Transactions on Information Theory

Their collaborative work includes partnerships with co-authors such as

  • Laigang Guo
  • Lijia Yu
  • Chun-Ming Yuan
  • Suwan Bu
  • Liang Yan

Gao was recognized as an ACM Senior Member in 2013.

Best Publications

  • Complete solution classification for the perspective-three-point problem

    Xiao-Shan Gao;Xiao-Rong Hou;Jianliang Tang;Hang-Fei Cheng

  • Machine Proofs in Geometry: Automated Production of Readable Proofs for Geometry Theorems

    Shang-Ching Chou;Xiao-Shan Gao;Ching-chung Chang

  • Generalized Stewart-Gough platforms and their direct kinematics

    Xiao-Shan Gao;D. Lei;Qizheng Liao;Gui-Fang Zhang

  • Solving geometric constraint systems. II. A symbolic approach and decision of Rc-constructibility

    Xiao-Shan Gao;Shang-Ching Chou

  • Geometric constraint satisfaction using optimization methods

    Jian-Xin Ge;Shang-Ching Chou;Xiao-Shan Gao

  • Evolutionary programming based on non-uniform mutation

    Xinchao Zhao;Xiao-Shan Gao;Ze-Chun Hu

  • Ritt-Wu's Decomposition Algorithm and Geometry Theorem Proving

    Unknown

  • Solving geometric constraint systems. I. A global propagation approach

    Xiao-Shan Gao;Shang-Ching Chou

  • Automated generation of readable proofs with geometric invariants

    Shang-Ching Chou;Xiao-Shan Gao;Jing-Zhong Zhang

  • Time-optimal interpolation for five-axis CNC machining along parametric tool path based on linear programming

    Wei Fan;Wei Fan;Xiao-Shan Gao;Chen-Han Lee;Ke Zhang

  • A Deductive Database Approach to Automated Geometry Theorem Proving and Discovering

    Shang-Ching Chou;Xiao-Shan Gao;Jing-Zhong Zhang

  • Solving parametric algebraic systems

    Xiao-Shan Gao;Shang-Ching Chou

  • Interpolation of Parametric CNC Machining Path Under Confined Jounce

    Wei Fan;Xiao-Shan Gao;Wei Yan;Chun-Ming Yuan

  • Solving spatial basic geometric constraint configurations with locus intersection

    Xiao-Shan Gao;Christoph M. Hoffmann;Wei-Qiang Yang

  • Rational general solutions of algebraic ordinary differential equations

    Ruyong Feng;Xiao-shan Gao

  • A greedy algorithm for feedrate planning of CNC machines along curved tool paths with confined jerk

    Ke Zhang;Chun-Ming Yuan;Xiao-Shan Gao;Hongbo Li

  • A polynomial time algorithm for finding rational general solutions of first order autonomous ODEs

    Ruyong Feng;Xiao-Shan Gao

  • Implicitization of Rational Parametric Equations

    Unknown

  • Analyzing the barren plateau phenomenon in training quantum neural networks with the ZX-calculus

    Chen Zhao;Xiao-Shan Gao

  • Automated production of traditional proofs for constructive geometry theorems

    S.-C. Chou;X.-S. Gao;J.-Z. Zhang

  • Linear programming and windowing based feedrate optimization for spline toolpaths

    Kaan Erkorkmaz;Qing-Ge (Christina) Chen;Ming-Yong Zhao;Xavier Beudaert

  • A C-tree decomposition algorithm for 2D and 3D geometric constraint solving

    Xiao-Shan Gao;Qiang Lin;Gui-Fang Zhang

  • Curve fitting and optimal interpolation on CNC machines based on quadratic B-splines

    Mei Zhang;Wei Yan;ChunMing Yuan;DingKang Wang

  • Curve fitting and optimal interpolation for CNC machining under confined error using quadratic B-splines

    Zhengyuan Yang;Li-Yong Shen;Chun-Ming Yuan;Xiao-Shan Gao

  • High speed interpolation for micro-line trajectory and adaptive real-time look-ahead scheme in CNC machining

    LiXian Zhang;RuiYong Sun;XiaoShan Gao;HongBo Li

  • Efficient algorithm for time-optimal feedrate planning and smoothing with confined chord error and acceleration

    Ke Zhang;Chun-Ming Yuan;Xiao-Shan Gao

Frequent Co-Authors

Christoph M. Hoffmann
Christoph M. Hoffmann Purdue University West Lafayette
Shouyang Wang
Shouyang Wang Chinese Academy of Sciences
Wenping Wang
Wenping Wang Texas A&M University
Deepak Kapur
Deepak Kapur University of New Mexico
George Labahn
George Labahn University of Waterloo
Xiaopeng Zhang
Xiaopeng Zhang Chinese Academy of Sciences
Dong-Ming Yan
Dong-Ming Yan Chinese Academy of Sciences

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