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Mathematics

D-Index
34
Citations
4239
World Ranking
2937
National Ranking
145

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

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