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2020 – today
- 2025
[j104]Yihan Wang, Shuang Liu, Xiao-Shan Gao
:
Data-dependent stability analysis of adversarial training. Neural Networks 183: 106983 (2025)- [j103]Laigang Guo, Raymond W. Yeung, Xiao-Shan Gao:
Proving Information Inequalities by Gaussian Elimination. IEEE Trans. Inf. Theory 71(4): 2315-2328 (2025) - [c72]Ruichen Qiu, Yibo Miao, Shiwen Wang, Yifan Zhu, Lijia Yu, Xiao-Shan Gao:
PowerMLP: An Efficient Version of KAN. AAAI 2025: 20069-20076 - [c71]Shuang Liu, Yihan Wang, Yifan Zhu, Yibo Miao, Xiao-Shan Gao:
Provable Robust Overfitting Mitigation in Wasserstein Distributionally Robust Optimization. ICLR 2025 - [i60]Lijia Yu, Yibo Miao, Yifan Zhu, Xiao-Shan Gao, Lijun Zhang:
Generalizability of Neural Networks Minimizing Empirical Risk Based on Expressive Ability. CoRR abs/2503.04111 (2025) - [i59]Shuang Liu, Yihan Wang, Yifan Zhu, Yibo Miao, Xiao-Shan Gao:
Provable Robust Overfitting Mitigation in Wasserstein Distributionally Robust Optimization. CoRR abs/2503.04315 (2025) - 2024
- [j102]Qiao-Long Huang, Ke Ye, Xiao-Shan Gao:
Skew-polynomial-sparse matrix multiplication. J. Symb. Comput. 121: 102240 (2024) - [c70]Yifan Zhu, Lijia Yu, Xiao-Shan Gao:
Detection and Defense of Unlearnable Examples. AAAI 2024: 17211-17219 - [c69]Shuang Liu, Yihan Wang, Xiao-Shan Gao:
Game-Theoretic Unlearnable Example Generator. AAAI 2024: 21349-21358 - [c68]Lijia Yu, Xiao-Shan Gao, Lijun Zhang:
Optimal robust Memorization with ReLU Neural Networks. ICLR 2024 - [c67]Shuyu Cheng, Yibo Miao, Yinpeng Dong, Xiao Yang, Xiao-Shan Gao, Jun Zhu:
Efficient Black-box Adversarial Attacks via Bayesian Optimization Guided by a Function Prior. ICML 2024 - [c66]Lijia Yu, Shuang Liu, Yibo Miao, Xiao-Shan Gao, Lijun Zhang:
Generalization Bound and New Algorithm for Clean-Label Backdoor Attack. ICML 2024 - [c65]Yifan Zhu, Yibo Miao, Yinpeng Dong, Xiao-Shan Gao:
Toward Availability Attacks in 3D Point Clouds. ICML 2024 - [c64]Laigang Guo, Raymond W. Yeung, Xiao-Shan Gao:
Proving Information Inequalities by Gaussian Elimination. ISIT 2024: 3172-3177 - [c63]Yibo Miao, Yinpeng Dong, Jinlai Zhang, Lijia Yu, Xiao Yang, Xiao-Shan Gao:
Improving Robustness of 3D Point Cloud Recognition from a Fourier Perspective. NeurIPS 2024 - [c62]Yibo Miao, Yifan Zhu, Lijia Yu, Jun Zhu, Xiao-Shan Gao, Yinpeng Dong:
T2VSafetyBench: Evaluating the Safety of Text-to-Video Generative Models. NeurIPS 2024 - [c61]Yihan Wang, Yifan Zhu, Xiao-Shan Gao:
Efficient Availability Attacks against Supervised and Contrastive Learning Simultaneously. NeurIPS 2024 - [c60]Lijia Yu, Xiao-Shan Gao, Lijun Zhang, Yibo Miao:
Generalizablity of Memorization Neural Network. NeurIPS 2024 - [i58]Yihan Wang, Shuang Liu, Xiao-Shan Gao:
Data-Dependent Stability Analysis of Adversarial Training. CoRR abs/2401.03156 (2024) - [i57]Laigang Guo, Raymond W. Yeung, Xiao-Shan Gao:
Proving Information Inequalities by Gaussian Elimination. CoRR abs/2401.14916 (2024) - [i56]Shuang Liu, Yihan Wang, Xiao-Shan Gao:
Game-Theoretic Unlearnable Example Generator. CoRR abs/2401.17523 (2024) - [i55]Yihan Wang, Yifan Zhu, Xiao-Shan Gao:
Efficient Availability Attacks against Supervised and Contrastive Learning Simultaneously. CoRR abs/2402.04010 (2024) - [i54]Shuyu Cheng, Yibo Miao, Yinpeng Dong, Xiao Yang, Xiao-Shan Gao, Jun Zhu:
Efficient Black-box Adversarial Attacks via Bayesian Optimization Guided by a Function Prior. CoRR abs/2405.19098 (2024) - [i53]Lijia Yu, Shuang Liu, Yibo Miao, Xiao-Shan Gao, Lijun Zhang:
Generalization Bound and New Algorithm for Clean-Label Backdoor Attack. CoRR abs/2406.00588 (2024) - [i52]Yihan Wang, Yiwei Lu, Guojun Zhang, Franziska Boenisch, Adam Dziedzic, Yaoliang Yu, Xiao-Shan Gao:
Alignment Calibration: Machine Unlearning for Contrastive Learning under Auditing. CoRR abs/2406.03603 (2024) - [i51]Yibo Miao, Yifan Zhu, Yinpeng Dong, Lijia Yu, Jun Zhu, Xiao-Shan Gao:
T2VSafetyBench: Evaluating the Safety of Text-to-Video Generative Models. CoRR abs/2407.05965 (2024) - [i50]Yifan Zhu, Yibo Miao, Yinpeng Dong, Xiao-Shan Gao:
Toward Availability Attacks in 3D Point Clouds. CoRR abs/2407.11011 (2024) - [i49]Lijia Yu, Xiao-Shan Gao, Lijun Zhang, Yibo Miao:
Generalizability of Memorization Neural Networks. CoRR abs/2411.00372 (2024) - [i48]Ruichen Qiu, Yibo Miao, Shiwen Wang, Lijia Yu, Yifan Zhu, Xiao-Shan Gao:
PowerMLP: An Efficient Version of KAN. CoRR abs/2412.13571 (2024) - [i47]Yihan Wang, Yiwei Lu, Xiao-Shan Gao, Gautam Kamath, Yaoliang Yu:
BridgePure: Revealing the Fragility of Black-box Data Protection. CoRR abs/2412.21061 (2024) - 2023
- [j101]Qin Wu, Chun-Ming Yuan, Li-Yong Shen, Shitao He, Xiao-Shan Gao:
Cubic time-spline fitting and interpolation for five-axis CNC machining. J. Comput. Des. Eng. 10(6): 2345-2360 (2023) - [j100]Lijia Yu, Xiao-Shan Gao:
Improve Robustness and Accuracy of Deep Neural Network with L2,∞ Normalization. J. Syst. Sci. Complex. 36(1): 3-28 (2023) - [j99]Laigang Guo, Raymond W. Yeung, Xiao-Shan Gao:
Proving Information Inequalities and Identities With Symbolic Computation. IEEE Trans. Inf. Theory 69(8): 4799-4811 (2023) - [c59]Lijia Yu, Yihan Wang, Xiao-Shan Gao:
Adversarial Parameter Attack on Deep Neural Networks. ICML 2023: 40354-40372 - [c58]Yihan Wang, Lijia Yu, Xiao-Shan Gao:
Restore Translation Using Equivariant Neural Networks. ICONIP (8) 2023: 583-603 - [c57]Qiao-Long Huang, Xiao-Shan Gao:
New Sparse Multivariate Polynomial Factorization Algorithms over Integers. ISSAC 2023: 315-324 - [i46]Yihan Wang, Lijia Yu, Xiao-Shan Gao:
Restore Translation Using Equivariant Neural Networks. CoRR abs/2306.16938 (2023) - [i45]Yifan Zhu, Lijia Yu, Xiao-Shan Gao:
Detection and Defense of Unlearnable Examples. CoRR abs/2312.08898 (2023) - 2022
- [j98]Laigang Guo, Chun-Ming Yuan, Xiao-Shan Gao:
Lower Bounds on Multivariate Higher Order Derivatives of Differential Entropy. Entropy 24(8): 1155 (2022) - [j97]Hong-Yu Ma, Chun-Ming Yuan, Li-Yong Shen, Xiao-Shan Gao:
Optimal feedrate planning on a five-axis parametric tool path with global geometric and kinematic constraints. J. Comput. Des. Eng. 9(6): 2355-2374 (2022) - [j96]Yu-Ao Chen, Xiao-Shan Gao:
Quantum Algorithm for Boolean Equation Solving and Quantum Algebraic Attack on Cryptosystems. J. Syst. Sci. Complex. 35(1): 373-412 (2022) - [c56]Laigang Guo, Raymond W. Yeung, Xiao-Shan Gao:
Proving Information Inequalities and Identities with Symbolic Computation. ISIT 2022: 772-777 - [c55]Yibo Miao, Yinpeng Dong, Jun Zhu, Xiao-Shan Gao:
Isometric 3D Adversarial Examples in the Physical World. NeurIPS 2022 - [i44]Laigang Guo, Raymond W. Yeung, Xiao-Shan Gao:
Proving Information Inequalities and Identities with Symbolic Computation. CoRR abs/2202.02786 (2022) - [i43]Lijia Yu, Yihan Wang, Xiao-Shan Gao:
Adversarial Parameter Attack on Deep Neural Networks. CoRR abs/2203.10502 (2022) - [i42]Qiao-Long Huang, Ke Ye, Xiao-Shan Gao:
Skew-sparse matrix multiplication. CoRR abs/2205.06429 (2022) - [i41]Xiao-Shan Gao, Shuang Liu, Lijia Yu:
Achieve Optimal Adversarial Accuracy for Adversarial Deep Learning using Stackelberg Game. CoRR abs/2207.08137 (2022) - [i40]Qiao-Long Huang, Xiao-Shan Gao:
Bit Complexity of Polynomial GCD on Sparse Representation. CoRR abs/2207.13874 (2022) - [i39]Yibo Miao, Yinpeng Dong, Jun Zhu, Xiao-Shan Gao:
Isometric 3D Adversarial Examples in the Physical World. CoRR abs/2210.15291 (2022) - 2021
- [j95]Laigang Guo, Chun-Ming Yuan, Xiao-Shan Gao:
A Generalization of the Concavity of Rényi Entropy Power. Entropy 23(12): 1593 (2021) - [j94]Youren Hu, Xiao-Shan Gao:
Tropical Differential Gröbner Bases. Math. Comput. Sci. 15(2): 255-269 (2021) - [j93]Chen Zhao, Xiao-Shan Gao:
QDNN: deep neural networks with quantum layers. Quantum Mach. Intell. 3(1): 1-9 (2021) - [j92]Chen Zhao, Xiao-Shan Gao:
Analyzing the barren plateau phenomenon in training quantum neural networks with the ZX-calculus. Quantum 5: 466 (2021) - [c54]Laigang Guo, Chun-Ming Yuan, Xiao-Shan Gao:
Lower Bound for Derivatives of Costa's Differential Entropy. ISIT 2021: 1516-1521 - [c53]Xiao-Shan Gao:
New Developments of Mathematics Mechanization. ISSAC 2021: 9 - [i38]Chen Zhao, Xiao-Shan Gao:
Analyzing the barren plateau phenomenon in training quantum neural network with the ZX-calculus. CoRR abs/2102.01828 (2021) - [i37]Laigang Guo, Chun-Ming Yuan, Xiao-Shan Gao:
A Generalization of the Concavity of Rényi Entropy Powe. CoRR abs/2103.06650 (2021) - [i36]Lijia Yu, Xiao-Shan Gao:
A Robust Classification-autoencoder to Defend Outliers and Adversaries. CoRR abs/2106.15927 (2021) - [i35]Lijia Yu, Xiao-Shan Gao:
Robust and Information-theoretically Safe Bias Classifier against Adversarial Attacks. CoRR abs/2111.04404 (2021) - 2020
- [j91]Qiao-Long Huang, Xiao-Shan Gao:
Faster interpolation algorithms for sparse multivariate polynomials given by straight-line programs. J. Symb. Comput. 101: 367-386 (2020) - [i34]Laigang Guo, Chun-Ming Yuan, Xiao-Shan Gao:
Prove Costa's Entropy Power Inequality and High Order Inequality for Differential Entropy with Semidefinite Programming. CoRR abs/2004.08543 (2020) - [i33]Laigang Guo, Chun-Ming Yuan, Xiao-Shan Gao:
Lower Bound on Derivatives of Costa's Differential Entropy. CoRR abs/2007.10145 (2020) - [i32]Lijia Yu, Xiao-Shan Gao:
Improve the Robustness and Accuracy of Deep Neural Network with L2, ∞ Normalization. CoRR abs/2010.04912 (2020)
2010 – 2019
- 2019
- [j90]Xiao-Shan Gao, Hongbo Li, Dongming Wang:
Foreword to the Special Issue. J. Syst. Sci. Complex. 32(1): 1-2 (2019) - [j89]Youren Hu, Xiao-Shan Gao:
Ritt-Wu Characteristic Set Method for Laurent Partial Differential Polynomial Systems. J. Syst. Sci. Complex. 32(1): 62-77 (2019) - [j88]Rui-Juan Jing, Chun-Ming Yuan, Xiao-Shan Gao:
A polynomial-time algorithm to compute generalized Hermite normal forms of matrices over Z[x]. Theor. Comput. Sci. 755: 89-109 (2019) - [c52]Qiao-Long Huang, Xiao-Shan Gao:
Revisit Sparse Polynomial Interpolation Based on Randomized Kronecker Substitution. CASC 2019: 215-235 - [i31]Youren Hu, Xiao-Shan Gao:
Tropical Differential Groebner Basis. CoRR abs/1904.02275 (2019) - [i30]Chen Zhao, Xiao-Shan Gao:
QDNN: DNN with Quantum Neural Network Layers. CoRR abs/1912.12660 (2019) - 2018
- [j87]Xiao-Shan Gao:
Preface. J. Symb. Comput. 85: 1-3 (2018) - [i29]Yu-Ao Chen, Xiao-Shan Gao, Chun-Ming Yuan:
Quantum Algorithms for Optimization and Polynomial Systems Solving over Finite Fields. CoRR abs/1802.03856 (2018) - [i28]Yu-Ao Chen, Xiao-Shan Gao:
Quantum Algorithms for Boolean Equation Solving and Quantum Algebraic Attack on Cryptosystems. IACR Cryptol. ePrint Arch. 2018: 8 (2018) - 2017
- [j86]Xiao-Shan Gao:
Wen-Tsun Wu: His Life and Legacy. ACM Commun. Comput. Algebra 51(2): 73-79 (2017) - [j85]Xiao-Shan Gao, Jie Chen, Jun Shao, Shouyang Wang:
Preface - Special issue to celebrate the 30th anniversary of Journal of Systems Science and Complexity. J. Syst. Sci. Complex. 30(1): 1-3 (2017) - [j84]Xiao-Shan Gao, Zhang Huang, Jie Wang, Chun-Ming Yuan:
Toric difference variety. J. Syst. Sci. Complex. 30(1): 173-195 (2017) - [j83]Wei Zhu, Xiao-Shan Gao:
A triangular decomposition algorithm for differential polynomial systems with elementary computation complexity. J. Syst. Sci. Complex. 30(2): 464-483 (2017) - [j82]Xiao-Shan Gao, Zhang Huang, Chun-Ming Yuan:
Binomial difference ideals. J. Symb. Comput. 80: 665-706 (2017) - [j81]Ming-Yong Zhao, Xiao-Shan Gao, Qiang Zhang:
An efficient stochastic approach for robust time-optimal trajectory planning of robotic manipulators under limited actuation. Robotica 35(12): 2400-2417 (2017) - [c51]Youren Hu, Xiao-Shan Gao:
Characteristic Set Method for Laurent Differential Polynomial Systems. CASC 2017: 183-195 - [c50]Qiao-Long Huang, Xiao-Shan Gao:
Sparse Polynomial Interpolation with Finitely Many Values for the Coefficients. CASC 2017: 196-209 - [c49]Yu-Ao Chen, Xiao-Shan Gao:
Criteria for Finite Difference Gröbner Bases of Normal Binomial Difference Ideals. ISSAC 2017: 93-100 - [c48]Qiao-Long Huang, Xiao-Shan Gao:
Sparse Rational Function Interpolation with Finitely Many Values for the Coefficients. MACIS 2017: 227-242 - [i27]Yu-Ao Chen, Xiao-Shan Gao:
Criteria for Finite Difference Groebner Bases of Normal Binomial Difference Ideals. CoRR abs/1701.06248 (2017) - [i26]Qiao-Long Huang, Xiao-Shan Gao:
Sparse Polynomial Interpolation with Finitely Many Values for the Coefficients. CoRR abs/1704.04359 (2017) - [i25]Qiao-Long Huang, Xiao-Shan Gao:
Sparse Rational Function Interpolation with Finitely Many Values for the Coefficients. CoRR abs/1706.00914 (2017) - [i24]Qiao-Long Huang, Xiao-Shan Gao:
Faster Deterministic Sparse Interpolation Algorithms for Straight-Line Program Multivariate Polynomials. CoRR abs/1709.08979 (2017) - [i23]Qiao-Long Huang, Xiao-Shan Gao:
Sparse Interpolation of Black-box Multivariate Polynomials using Kronecker Type Substitutions. CoRR abs/1710.01301 (2017) - [i22]Qiao-Long Huang, Xiao-Shan Gao:
Revisit Randomized Kronecker Substitution based Sparse Polynomial Interpolation. CoRR abs/1712.05481 (2017) - [i21]Yu-Ao Chen, Xiao-Shan Gao:
Quantum Algorithms for Boolean Equation Solving and Quantum Algebraic Attack on Cryptosystems. CoRR abs/1712.06239 (2017) - 2016
- [j80]Xiao-Shan Gao, Zhenyu Huang:
Solving Boolean equation systems and applications in cryptanalysis. Sci. China Inf. Sci. 59(5): 050104:1-050104:2 (2016) - [j79]Qiang Zhang, Shurong Li, Jian-Xin Guo, Xiao-Shan Gao:
Time-optimal path tracking for robots under dynamics constraints based on convex optimization. Robotica 34(9): 2116-2139 (2016) - [c47]Qiang Zhang, Xiao-Shan Gao:
Practical feedrate optimization for planar high precision contouring. ICIA 2016: 1872-1877 - [e2]Sergei A. Abramov, Eugene V. Zima, Xiao-Shan Gao:
Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, ISSAC 2016, Waterloo, ON, Canada, July 19-22, 2016. ACM 2016, ISBN 978-1-4503-4380-0 [contents] - [i20]Rui-Juan Jing, Chun-Ming Yuan, Xiao-Shan Gao:
A Polynomial-time Algorithm to Compute Generalized Hermite Normal Form of Matrices over Z[x]. CoRR abs/1601.01067 (2016) - [i19]Xiao-Shan Gao, Zhang Huang, Chun-Ming Yuan:
Binomial Difference Ideals. CoRR abs/1603.03987 (2016) - [i18]Xiao-Shan Gao, Zhang Huang, Jie Wang, Chun-Ming Yuan:
Toric Difference Variety. CoRR abs/1604.01958 (2016) - 2015
- [j78]Zhengyuan Yang, Liyong Shen, Chun-Ming Yuan, Xiao-Shan Gao:
Curve fitting and optimal interpolation for CNC machining under confined error using quadratic B-splines. Comput. Aided Des. 66: 62-72 (2015) - [j77]Xiao-Shan Gao:
Binomial difference ideal and toric difference variety. ACM Commun. Comput. Algebra 49(1): 24 (2015) - [j76]Wei Li, Chun-Ming Yuan, Xiao-Shan Gao:
Sparse Differential Resultant for Laurent Differential Polynomials. Found. Comput. Math. 15(2): 451-517 (2015) - [j75]Qiang Zhang, Shurong Li, Jian-Xin Guo, Xiao-Shan Gao:
Tractable Algorithm for Robust Time-Optimal Trajectory Planning of Robotic Manipulators under Confined Torque. Int. J. Comput. Commun. Control 10(1): 123-135 (2015) - [j74]Jian-Xin Guo, Qiang Zhang, Xiao-Shan Gao, Hongbo Li:
Time optimal feedrate generation with confined tracking error based on linear programming. J. Syst. Sci. Complex. 28(1): 80-95 (2015) - [j73]Wei Li, Chun-Ming Yuan, Xiao-Shan Gao:
Sparse difference resultant. J. Symb. Comput. 68: 169-203 (2015) - [c46]Kai Jin, Jin-San Cheng, Xiao-Shan Gao:
On the Topology and Visualization of Plane Algebraic Curves. CASC 2015: 245-259 - [i17]Wei Zhu, Xiao-Shan Gao:
A Triangular Decomposition Algorithm for Differential Polynomial Systems with Elementary Computation Complexity. CoRR abs/1503.04380 (2015) - 2014
- [j72]Jin-San Cheng, Xiao-Shan Gao:
Multiplicity-preserving triangular set decomposition of two polynomials. J. Syst. Sci. Complex. 27(6): 1320-1344 (2014) - [i16]Xiao-Shan Gao, Zhang Huang, Chun-Ming Yuan:
Binomial Difference Ideal and Toric Difference Variety. CoRR abs/1404.7580 (2014) - 2013
- [j71]Jian-Xin Guo, Ke Zhang, Qiang Zhang, Xiao-Shan Gao:
Efficient time-optimal feedrate planning under dynamic constraints for a high-order CNC servo system. Comput. Aided Des. 45(12): 1538-1546 (2013) - [j70]Jian-Xin Guo, Qiang Zhang, Xiao-Shan Gao:
Tracking error reduction in CNC machining by reshaping the kinematic trajectory. J. Syst. Sci. Complex. 26(5): 817-835 (2013) - [c45]Qiang Zhang, Shurong Li, Xiao-Shan Gao:
Practical smooth minimum time trajectory planning for path following robotic manipulators. ACC 2013: 2778-2783 - [c44]Wei Li, Chun-Ming Yuan, Xiao-Shan Gao:
Sparse difference resultant. ISSAC 2013: 275-282 - 2012
- [j69]Xiao-Shan Gao, Christoph M. Hoffmann, Robert Joan-Arinyo:
Editorial message. Comput. Aided Geom. Des. 29(1): 1 (2012) - [j68]Liyong Shen, Chun-Ming Yuan, Xiao-Shan Gao:
Certified approximation of parametric space curves with cubic B-spline curves. Comput. Aided Geom. Des. 29(8): 648-663 (2012) - [j67]Wei Li, Chun-Ming Yuan, Xiao-Shan Gao:
Sparse differential resultant for laurent differential polynomials. ACM Commun. Comput. Algebra 46(3/4): 110-111 (2012) - [j66]Xiao-Shan Gao, Robert Joan-Arinyo, Dominique Michelucci:
Special issue on geometric constraints and reasoning. Comput. Geom. 45(8): 383-384 (2012) - [j65]Shang-Wei Zhao, Ruyong Feng, Xiao-Shan Gao:
On functional decomposition of multivariate polynomials with differentiation and homogenization. J. Syst. Sci. Complex. 25(2): 329-347 (2012) - [j64]Xiao-Shan Gao, Deepak Kapur:
Preface. J. Symb. Comput. 47(6): 583-585 (2012) - [j63]Xiao-Shan Gao, Deepak Kapur:
A brief introduction to Wen-Tsun Wu's academic career. J. Symb. Comput. 47(6): 586-588 (2012) - [j62]Xiao-Shan Gao, Zhenyu Huang:
Characteristic set algorithms for equation solving in finite fields. J. Symb. Comput. 47(6): 655-679 (2012) - [j61]Jin-San Cheng, Xiao-Shan Gao, Leilei Guo:
Root isolation of zero-dimensional polynomial systems with linear univariate representation. J. Symb. Comput. 47(7): 843-858 (2012) - [j60]Hongbo Li, Xiao-Shan Gao, Lixian Zhang, Ruiyong Sun:
Discrete Interpolation of G01 Codes in 2D Machining under Bounded Accelerations. Math. Comput. Sci. 6(3): 327-344 (2012) - [c43]Zhi-Yong Zhang, Chun-Ming Yuan, Xiao-Shan Gao:
Matrix Formulae of Differential Resultant for First Order Generic Ordinary Differential Polynomials. ASCM 2012: 479-503 - [i15]Liyong Shen, Chun-Ming Yuan, Xiao-Shan Gao:
Certified Approximation of Parametric Space Curves with Cubic B-spline Curves. CoRR abs/1203.0478 (2012) - [i14]Jin-San Cheng, Kai Jin, Xiao-Shan Gao, Daniel Lazard:
Certified Rational Parametric Approximation of Real Algebraic Space Curves with Local Generic Position Method. CoRR abs/1204.0905 (2012) - [i13]Zhi-Yong Zhang, Chun-Ming Yuan, Xiao-Shan Gao:
Matrix Formula of Differential Resultant for First Order Generic Ordinary Differential Polynomials. CoRR abs/1204.3773 (2012) - [i12]Wei Li, Chun-Ming Yuan, Xiao-Shan Gao:
Sparse Difference Resultant. CoRR abs/1212.3090 (2012) - 2011
- [j59]Mei Zhang, Wei Yan, Chun-Ming Yuan, Dingkang Wang, Xiao-Shan Gao:
Curve fitting and optimal interpolation on CNC machines based on quadratic B-splines. Sci. China Inf. Sci. 54(7): 1407-1418 (2011) - [j58]Liyong Shen, Eng-Wee Chionh, Xiao-Shan Gao, Jia Li:
Proper reparametrization for inherently improper unirational varieties. J. Syst. Sci. Complex. 24(2): 367-380 (2011) - [c42]Wei Li, Xiao-Shan Gao, Chun-Ming Yuan:
Sparse differential resultant. ISSAC 2011: 225-232 - [i11]Jin-San Cheng, Xiao-Shan Gao:
Multiplicity Preserving Triangular Set Decomposition of Two Polynomials. CoRR abs/1101.3603 (2011) - [i10]Jin-San Cheng, Xiao-Shan Gao, Leilei Guo:
Root Isolation of Zero-dimensional Polynomial Systems with Linear Univariate Representation. CoRR abs/1102.4681 (2011) - [i9]Wei Li, Xiao-Shan Gao:
Differential Chow Form for Projective Differential Variety. CoRR abs/1107.3205 (2011) - [i8]Wei Li, Chun-Ming Yuan, Xiao-Shan Gao:
Sparse Differential Resultant for Laurent Differential Polynomials. CoRR abs/1111.1084 (2011) - 2010
- [j57]Zheng Ye, Shang-Ching Chou, Xiao-Shan Gao:
Visually Dynamic Presentation of Proofs in Plane Geometry - Part 1. Basic Features and the Manual Input Method. J. Autom. Reason. 45(3): 213-241 (2010) - [j56]Zheng Ye, Shang-Ching Chou, Xiao-Shan Gao:
Visually Dynamic Presentation of Proofs in Plane Geometry - Part 2. Automated Generation of Visually Dynamic Presentations with the Full-Angle Method and the Deductive Database Method. J. Autom. Reason. 45(3): 243-266 (2010) - [c41]Li Han, Xiao-Shan Gao:
Articulation-constrained Skeleton Extraction. IPCV 2010: 441-446 - [i7]Xiao-Shan Gao, Wei Li, Chun-Ming Yuan:
Intersection Theory for Generic Differential Polynomials and Differential Chow Form. CoRR abs/1009.0148 (2010) - [i6]Shang-Wei Zhao, Ruyong Feng, Xiao-Shan Gao:
On Functional Decomposition of Multivariate Polynomials with Differentiation and Homogenization. CoRR abs/1011.5545 (2010) - [i5]Xiao-Shan Gao, Zhenyu Huang:
Efficient Characteristic Set Algorithms for Equation Solving in Finite Fields and Applications in Cryptanalysis. CoRR abs/1011.6505 (2010) - [i4]Shang-Wei Zhao, Ruyong Feng, Xiao-Shan Gao:
On Functional Decomposition of Multivariate Polynomials with Differentiation and Homogenization. IACR Cryptol. ePrint Arch. 2010: 604 (2010)
2000 – 2009
- 2009
- [j55]Chun-Ming Yuan, Xiao-Shan Gao:
A criterion for testing whether a difference ideal is prime. J. Syst. Sci. Complex. 22(4): 627-635 (2009) - [j54]Xiao-Shan Gao, Yong Luo, Chun-Ming Yuan:
A characteristic set method for ordinary difference polynomial systems. J. Symb. Comput. 44(3): 242-260 (2009) - [j53]Jin-San Cheng, Xiao-Shan Gao, Chee-Keng Yap:
Complete numerical isolation of real roots in zero-dimensional triangular systems. J. Symb. Comput. 44(7): 768-785 (2009) - [j52]Xiao-Shan Gao, Joris van der Hoeven, Chun-Ming Yuan, Gui-Lin Zhang:
Characteristic set method for differential-difference polynomial systems. J. Symb. Comput. 44(9): 1137-1163 (2009) - [j51]Mingbo Zhang, Xiao-Shan Gao:
Decomposition of ordinary difference polynomials. J. Symb. Comput. 44(10): 1394-1409 (2009) - [j50]Shang-Wei Zhao, Xiao-Shan Gao:
Minimal achievable approximation ratio for MAX-MQ in finite fields. Theor. Comput. Sci. 410(21-23): 2285-2290 (2009) - [c40]Li Han, Xiao-Shan Gao, Hongbo Li, Lixian Zhang, Jie Liu:
Arbitrary shape reconstruction from NC sectional data and applications in space cutter compensation and interference detection. CAD/Graphics 2009: 435-441 - [c39]Jin-San Cheng, Xiao-Shan Gao, Jia Li:
Ambient Isotopic Meshing for Implicit Algebraic Surfaces with Singularities. CASC 2009: 89-93 - [c38]Jin-San Cheng, Xiao-Shan Gao, Jia Li:
Root isolation for bivariate polynomial systems with local generic position method. ISSAC 2009: 103-110 - [c37]Jin-San Cheng, Xiao-Shan Gao, Jia Li:
Topology determination and isolation for implicit plane curves. SAC 2009: 1140-1141 - [i3]Jin-San Cheng, Xiao-Shan Gao, Jia Li:
Ambient Isotopic Meshing of Implicit Algebraic Surface with Singularities. CoRR abs/0903.3524 (2009) - [i2]Xiao-Shan Gao, Zhenyu Huang:
Efficient Characteristic Set Algorithms for Equation Solving in Finite Fields and Application in Analysis of Stream Ciphers. IACR Cryptol. ePrint Arch. 2009: 637 (2009) - 2008
- [j49]Xiao-Shan Gao, Mingbo Zhang:
Decomposition of ordinary differential polynomials. Appl. Algebra Eng. Commun. Comput. 19(1): 1-25 (2008) - [j48]Xiao-Shan Gao, Zhenyu Huang:
A characteristic set method for equation solving over finite fields. ACM Commun. Comput. Algebra 42(3): 149-150 (2008) - [j47]Xiao-Shan Gao, Dantong Ouyang, Ji-gui Sun, Sanjiang Li, Tian-shun Yao, Ruzhan Lu, Chun-Yi Shi, Zhangang Han, Jue Wang, Cun-gen Cao, Ruqian Lu:
AI in China: A Survey. IEEE Intell. Syst. 23(6): 26-32 (2008) - [j46]Jia Li, Liyong Shen, Xiao-Shan Gao:
Proper Reparametrization of Rational Ruled Surface. J. Comput. Sci. Technol. 23(2): 290-297 (2008) - [j45]Fengjuan Chai, Xiao-Shan Gao, Chun-Ming Yuan:
A characteristic set method for solving boolean equations and applications in cryptanalysis of stream ciphers. J. Syst. Sci. Complex. 21(2): 191-208 (2008) - [j44]Ruyong Feng, Xiao-Shan Gao, Zhenyu Huang:
Rational solutions of ordinary difference equations. J. Symb. Comput. 43(10): 746-763 (2008) - [c36]Zheng Ye, Shang-Ching Chou, Xiao-Shan Gao:
An Introduction to Java Geometry Expert - (Extended Abstract). Automated Deduction in Geometry 2008: 189-195 - [c35]Xiao-Shan Gao, Dominique Michelucci, Pascal Schreck:
Special track on Geometric Constraints and Reasoning: editorial message. SAC 2008: 1814-1815 - 2007
- [j43]Xinchao Zhao, Xiao-Shan Gao, Ze-Chun Hu:
Evolutionary programming based on non-uniform mutation. Appl. Math. Comput. 192(1): 1-11 (2007) - [j42]Wenjun Wu, Xiao-Shan Gao:
Mathematics mechanization and applications after thirty years. Frontiers Comput. Sci. China 1(1): 1-8 (2007) - [j41]Xinchao Zhao, Xiao-Shan Gao:
Affinity genetic algorithm. J. Heuristics 13(2): 133-150 (2007) - [c34]Jia Li, Xiao-Shan Gao:
A Modified Van der Waerden Algorithm to Decompose Algebraic Varieties and Zero-Dimensional Radical Ideals. ASCM 2007: 246-262 - [c33]Gui-Lin Zhang, Xiao-Shan Gao:
Properties of Ascending Chains for Partial Difference Polynomial Systems. ASCM 2007: 307-321 - [c32]Jia Li, Liyong Shen, Xiao-Shan Gao:
Proper Reparametrization of Rational Ruled Surface. CAD/Graphics 2007: 26 - [c31]Jin-San Cheng, Xiao-Shan Gao, Chee-Keng Yap:
Complete numerical isolation of real zeros in zero-dimensional triangular systems. ISSAC 2007: 92-99 - 2006
- [j40]Xiao-Shan Gao, Qiang Lin, Gui-Fang Zhang:
A C-tree decomposition algorithm for 2D and 3D geometric constraint solving. Comput. Aided Des. 38(1): 1-13 (2006) - [j39]Eng-Wee Chionh, Xiao-Shan Gao, Liyong Shen:
Inherently improper surface parametric supports. Comput. Aided Geom. Des. 23(8): 629-639 (2006) - [j38]Xiao-Shan Gao:
Wen-Tsun Wu's academic career. ACM Commun. Comput. Algebra 40(2): 60-64 (2006) - [j37]Xiao-Shan Gao, Dominique Michelucci:
Guest Editors' Foreword. Int. J. Comput. Geom. Appl. 16(5-6): 377-378 (2006) - [j36]Gui-Fang Zhang, Xiao-Shan Gao:
Well-constrained Completion and Decomposition for under-constrained Geometric Constraint Problems. Int. J. Comput. Geom. Appl. 16(5-6): 461-478 (2006) - [j35]Wen-tsun Wu, Xiao-Shan Gao:
Automated Reasoning and Equation Solving with the Characteristic Set Method. J. Comput. Sci. Technol. 21(5): 756-764 (2006) - [j34]Xiao-Shan Gao, Jianliang Tang:
On the Probability of the Number of Solutions for the P4P Problem. J. Math. Imaging Vis. 25(1): 79-86 (2006) - [j33]Jia Li, Xiao-Shan Gao:
The Proper Parametrization of a Special Class of Rational Parametric Equations. J. Syst. Sci. Complex. 19(3): 331-339 (2006) - [j32]Ruyong Feng, Xiao-Shan Gao:
A polynomial time algorithm for finding rational general solutions of first order autonomous ODEs. J. Symb. Comput. 41(7): 739-762 (2006) - [j31]Ming Li, Xiao-Shan Gao, Shang-Ching Chou:
Quadratic approximation to plane parametric curves and its application in approximate implicitization. Vis. Comput. 22(9-11): 906-917 (2006) - [c30]Xiao-Shan Gao, Chun-Ming Yuan:
Resolvent systems of difference polynomial ideals. ISSAC 2006: 101-108 - [c29]Xiao-Shan Gao, Dominique Michelucci, Pascal Schreck:
Editorial message: technical track on geometric computing and reasoning. SAC 2006: 962 - [c28]Gui-Fang Zhang, Xiao-Shan Gao:
Spatial geometric constraint solving based on k-connected graph decomposition. SAC 2006: 979-983 - [i1]Xiao-Shan Gao, Mingbo Zhang:
Decomposition of Differential Polynomials. Challenges in Symbolic Computation Software 2006 - 2005
- [j30]Jin-San Cheng, Xiao-Shan Gao, Ming Li:
Intrinsic topological representation of real algebraic surfaces. SIGSAM Bull. 39(3): 80-81 (2005) - [j29]Xiao-Shan Gao, Gui-Fang Zhang:
2D and 3D generalized Stewart Platforms. SIGSAM Bull. 39(3): 92-93 (2005) - [j28]Ming Li, Xiao-Shan Gao, Jin-San Cheng:
Generating Symbolic Interpolants for Scattered Data with Normal Vectors. J. Comput. Sci. Technol. 20(6): 861-874 (2005) - [j27]Xiao-Shan Gao, Deli Lei, Qizheng Liao, Gui-Fang Zhang:
Generalized Stewart-Gough platforms and their direct kinematics. IEEE Trans. Robotics 21(2): 141-151 (2005) - [c27]Jin-San Cheng, Xiao-Shan Gao, Ming Li:
Determining the Topology of Real Algebraic Surfaces. IMA Conference on the Mathematics of Surfaces 2005: 121-146 - [c26]J. M. Aroca, J. Cano, Ruyong Feng, Xiao-Shan Gao:
Algebraic general solutions of algebraic ordinary differential equations. ISSAC 2005: 29-36 - 2004
- [j26]Xiao-Shan Gao, Christoph M. Hoffmann, Wei-Qiang Yang:
Solving spatial basic geometric constraint configurations with locus intersection. Comput. Aided Des. 36(2): 111-122 (2004) - [j25]Xiao-Shan Gao, Ming Li:
Rational quadratic approximation to real algebraic curves. Comput. Aided Geom. Des. 21: 805-828 (2004) - [j24]Jimin Wang, Xiao-Shan Gao:
An algorithm for solving partial differential parametric systems. Discret. Appl. Math. 136(1): 105-116 (2004) - [j23]Arjeh M. Cohen, Xiao-Shan Gao, Nobuki Takayama:
Editorial. J. Symb. Comput. 38(4): 1167-1168 (2004) - [c25]Gui-Fang Zhang, Xiao-Shan Gao:
Planar Generalized Stewart Platforms and Their Direct Kinematics. Automated Deduction in Geometry 2004: 198-211 - [c24]Ruyong Feng, Xiao-Shan Gao:
Polynomial General Solutions for First Order Autonomous ODEs. IWMM/GIAE 2004: 5-17 - [c23]Xiao-Shan Gao, Ming Li:
Rational Quadratic Approximation to Real Plane Algebraic Curves. GMP 2004: 93-102 - [c22]Ruyong Feng, Xiao-Shan Gao:
Rational general solutions of algebraic ordinary differential equations. ISSAC 2004: 155-162 - [c21]Xiao-Shan Gao, Mingbo Zhang:
Decomposition of differential polynomials with constant coefficients. ISSAC 2004: 175-182 - [c20]Xinchao Zhao, Xiao-Shan Gao:
A Hybrid Genetic Algorithm Based on Simulated Annealing and Applications to Optimization and SAT Problems. SNPD 2004: 12-18 - 2003
- [j22]Ruyong Feng, Xiao-Shan Gao:
Polynomial solutions for first order ODEs with constant coefficients. SIGSAM Bull. 37(3): 71-72 (2003) - [j21]Xiao-Shan Gao:
Implicitization of differential rational parametric equations. J. Symb. Comput. 36(5): 811-824 (2003) - [j20]Xiao-Shan Gao, Xiaorong Hou, Jianliang Tang, Hang-Fei Cheng:
Complete Solution Classification for the Perspective-Three-Point Problem. IEEE Trans. Pattern Anal. Mach. Intell. 25(8): 930-943 (2003) - [c19]Xiao-Shan Gao, Gui-Fang Zhang:
Geometric constraint solving via C-tree decomposition. Symposium on Solid Modeling and Applications 2003: 45-55 - [c18]Xiao-Shan Gao, Gui-Fang Zhang:
Classification and Solving of Merge Patterns in Geometric Constraint Solving. Shape Modeling International 2003: 89-98 - 2002
- [j19]Xiao-Shan Gao, Kun Jiang, Chang-Cai Zhu:
Geometric constraint solving with conics and linkages. Comput. Aided Des. 34(6): 421-433 (2002) - [c17]Xiao-Shan Gao, Qiang Lin:
MMP/Geometer - A Software Package for Automated Geometric Reasoning. Automated Deduction in Geometry 2002: 44-66 - [c16]Xiao-Shan Gao, Ming Li:
Construct Piecewise Hermite Interpolation Surface with Blending Methods. GMP 2002: 53-59 - [c15]Xiao-Shan Gao, Christoph M. Hoffmann, Wei-Qiang Yang:
Solving spatial basic geometric constraint configurations with locus intersection. Symposium on Solid Modeling and Applications 2002: 95-104 - 2001
- [j18]Xiao-Shan Gao, Lei-Dong Huang, Kun Jiang:
Geometric constraint solving with geometric transformation. Sci. China Ser. F Inf. Sci. 44(1): 50-59 (2001) - [j17]Xiao-Shan Gao, Hangfei Chen:
New Algorithms for the Perspective-Three-Point Problem. J. Comput. Sci. Technol. 16(3): 194-207 (2001) - [p1]Shang-Ching Chou, Xiao-Shan Gao:
Automated Reasoning in Geometry. Handbook of Automated Reasoning 2001: 707-749 - 2000
- [j16]Shang-Ching Chou, Xiao-Shan Gao, Jing-Zhong Zhang:
A Deductive Database Approach to Automated Geometry Theorem Proving and Discovering. J. Autom. Reason. 25(3): 219-246 (2000) - [c14]Xiao-Shan Gao, Lei-Dong Huang, Kun Jiang:
A Hybrid Method for Solving Geometric Constraint Problems. Automated Deduction in Geometry 2000: 16-25
1990 – 1999
- 1999
- [j15]Jian-Xin Ge, Shang-Ching Chou, Xiao-Shan Gao:
Geometric constraint satisfaction using optimization methods. Comput. Aided Des. 31(14): 867-879 (1999) - [j14]Xiao-Shan Gao, Changcai Zhu:
Automated generation of Kempe linkage and its complexity. J. Comput. Sci. Technol. 14(5): 460-467 (1999) - [e1]Xiao-Shan Gao, Dongming Wang, Lu Yang:
Automated Deduction in Geometry, Second International Workshop, ADG'98, Beijing, China, August 1-3, 1998, Proceedings. Lecture Notes in Computer Science 1669, Springer 1999, ISBN 3-540-66672-9 [contents] - 1998
- [j13]Xiao-Shan Gao, Shang-Ching Chou:
Solving geometric constraint systems. I. A global propagation approach. Comput. Aided Des. 30(1): 47-54 (1998) - [j12]Xiao-Shan Gao, Shang-Ching Chou:
Solving geometric constraint systems. II. A symbolic approach and decision of Rc-constructibility. Comput. Aided Des. 30(2): 115-122 (1998) - [c13]Xiao-Shan Gao:
Automated Geometry Diagram Construction and Engineering Geometry. Automated Deduction in Geometry 1998: 232-257 - 1996
- [j11]Shang-Ching Chou, Xiao-Shan Gao:
Automated Generation of Readable Proofs with Geometric Invariants I. Multiple and Shortest Proof Generation. J. Autom. Reason. 17(3): 325-347 (1996) - [j10]Shang-Ching Chou, Xiao-Shan Gao, Jing-Zhong Zhang:
Automated Generation of Readable Proofs with Geometric Invariants. J. Autom. Reason. 17(3): 349-370 (1996) - [c12]Lu Yang, Xiao-Shan Gao, Shang-Ching Chou, Jing-Zhong Zhang:
Automated Production of Readable Proofs for Theorems in Non-Euclidian Geometries. Automated Deduction in Geometry 1996: 171-188 - [c11]Shang-Ching Chou, Xiao-Shan Gao, Jing-Zhong Zhang:
An Introduction to Geometry Expert. CADE 1996: 235-239 - 1995
- [j9]Jing-Zhong Zhang, Shang-Ching Chou, Xiao-Shan Gao:
Automated Production of Traditional Proofs for Theorems in Euclidean Geometry. Ann. Math. Artif. Intell. 13(1-2): 109-138 (1995) - [j8]Shang-Ching Chou, Xiao-Shan Gao, Jing-Zhong Zhang:
Automated Production of Traditional Proofs in Solid Geometry. J. Autom. Reason. 14(2): 257-291 (1995) - 1994
- [b1]Shang-Ching Chou, Xiao-Shan Gao, Jing-Zhong Zhang:
Machine proofs in geometry - automated production of readable proofs for geometry theorems. Series on applied mathematics 6, World Scientific 1994, ISBN 978-981-02-1584-2, pp. I-XVII, 1-461 - [c10]Nicholas Freitag McPhee, Shang-Ching Chou, Xiao-Shan Gao:
Mechanically Proving Geometry Theorems Using a Combination of Wu's Method and Collins' Method. CADE 1994: 401-415 - 1993
- [j7]Shang-Ching Chou, Xiao-Shan Gao:
Automated Reasoning in Differential Geometry and Mechanics Using the Characteristic Set Method. Part I. An Improved Version of Ritt-Wu's Decomposition Algorithm. J. Autom. Reason. 10(2): 161-172 (1993) - [j6]Shang-Ching Chou, Xiao-Shan Gao:
Automated Reasoning in Differential Geometry and Mechanics Using the Characteristic Set Method. Part II. Mechanical Theorem Proving. J. Autom. Reason. 10(2): 173-189 (1993) - [j5]Xiao-Shan Gao, Shang-Ching Chou:
A Zero Structure Theorem for Differential Parametric Systems. J. Symb. Comput. 16(6): 585-595 (1993) - [c9]Shang-Ching Chou, Xiao-Shan Gao, Jing-Zhong Zhang:
Automated Geometry Theorem Proving by Vector Calculation. ISSAC 1993: 284-291 - [c8]Shang-Ching Chou, Xiao-Shan Gao, Jing-Zhong Zhang:
Automated Production of Traditional Proofs for Constructive Geometry Theorems. LICS 1993: 48-56 - 1992
- [j4]Xiao-Shan Gao, Shang-Ching Chou:
On the Parameterization of Algebraic Curves. Appl. Algebra Eng. Commun. Comput. 3: 27-38 (1992) - [j3]Xiao-Shan Gao, Shang-Ching Chou:
Implicitization of Rational Parametric Equations. J. Symb. Comput. 14(5): 459-470 (1992) - [c7]Shang-Ching Chou, Xiao-Shan Gao:
Proving Geometry Statements of Constructive Type. CADE 1992: 20-34 - [c6]Xiao-Shan Gao, Shang-Ching Chou:
Solving Parametric Algebraic Systems. ISSAC 1992: 335-341 - [c5]Shang-Ching Chou, Xiao-Shan Gao:
Automated Reasoning in Differential Geometry and Mechanics Using Characteristic Method. IWAR 1992: 1-12 - [c4]Xiao-Shan Gao:
An Introduction to Wu's Method of Mechanical Geometry Theorem Proving. IWAR 1992: 13-22 - 1991
- [j2]Xiao-Shan Gao, Shang-Ching Chou:
On the normal parametrization of curves and surfaces. Int. J. Comput. Geom. Appl. 1(2): 125-136 (1991) - [c3]Xiao-Shan Gao, Shang-Ching Chou:
Computations with Parametric Equations. ISSAC 1991: 122-127 - 1990
- [j1]Xiao-Shan Gao:
Transcendental Functions and Mechanical Theorem Proving in Elemantary Geometries. J. Autom. Reason. 6(4): 403-417 (1990) - [c2]Shang-Ching Chou, Xiao-Shan Gao:
Ritt-Wu's Decomposition Algorithm and Geometry Theorem Proving. CADE 1990: 207-220 - [c1]Shang-Ching Chou, Xiao-Shan Gao:
Methods for Mechanical Geometry Formula Deriving. ISSAC 1990: 265-270
Coauthor Index
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