Dr.  Zongben Xu
Academician of the Chinese 
Academy of Sciences,
Professor of Mathematics & 
Computer Science,
Xi’an Jiaotong University,
Chief Scientist of National 
Basic Research Program
 of China.

Contact Information

School of Mathematics & Statistics
Xi’an Jiaotong University
Xi’an, China

Fax: 86 29 82668559
Tel: 86 29 82668005
Email: zbxu@mail.xjtu.edu.cn
Secretary: Jijie Zhang

Selected Publications



2017 | 20162015 | 2014 | 2013 |2012 | 2011 | 2010 |

2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001 | 2000 |


Books or Book Chapters






  1.  Huibin LI, Sun J, Zongben XU, et al. Multimodal 2D+3D Facial Expression Recognition with Deep Fusion Convolutional Neural Network[J]. IEEE Transactions on Multimedia, 2017, PP(99):1-1.
  2. Dai M, Ming J, Cai M, et al. IGESS: A Statistical Approach to Integrating Individual-Level Genotype Data and Summary Statistics in Genome-Wide Association Studies.[J]. Bioinformatics, 2017, 33(18):2882.
  3. Zhu X, Li X, Zhang S, et al. Graph PCA Hashing for Similarity Search[J]. IEEE Transactions on Multimedia, 2017, PP(99):1-1.
  4.  Bangyu W, Wu R S, Gao J H, et al. Survey sinking migration using the time-space localized dreamlet one-way propagator[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION.
  5. Qi X, Qian Z, Meng D, et al. Kronecker-Basis-Representation Based Tensor Sparsity and Its Applications to Tensor Recovery[J]. IEEE Transactions on Pattern Analysis & Machine Intelligence, 2017, PP(99):1-1.
  6. Xu L, Lin S, Wang Y, et al. Shrinkage Degree in L2-Rescale Boosting for Regression[J]. IEEE Transactions on Neural Networks & Learning Systems, 2017, 28(8):1851-1864.
  7. Gao J, Zhang B, Han W, et al. A new approach for extracting the amplitude spectrum of the seismic wavelet from the seismic traces[J]. Inverse Problems, 2017, 33(8).
  8. Chen Y, Cao X, Zhao Q, et al. Denoising Hyperspectral Image With Non-i.i.d. Noise Structure[J]. IEEE Transactions on Cybernetics, 2017, PP(99):1-13.
  9. Gong T, Xu Z, Chen H. Generalization Analysis of Fredholm Kernel Regularized Classifiers[J]. Neural Computation, 2017, 29(7):1879-1901.
  10.  Bi H, Sun J, Xu Z. Unsupervised PolSAR Image Classification Using Discriminative Clustering[J]. IEEE Transactions on Geoscience & Remote Sensing, 2017, 55(6):3531-3544.
  11. Li H, Zhang Q, Deng J, et al. A Preference-Based Multiobjective Evolutionary Approach for Sparse Optimization[J]. IEEE Trans Neural Netw Learn Syst, 2017, PP(99):1-16.
  12. Lin X, Lin S, Zeng J, et al. Greedy Criterion in Orthogonal Greedy Learning[J]. IEEE Transactions on Cybernetics, 2017, PP(99):1-12.
  13. Cao X, Xu L, Meng D, et al. Integration of 3-dimensional discrete wavelet transform and Markov random field for hyperspectral image classification[J]. Neurocomputing, 2017, 226(C):90-100.
  14. Jiang X D, Wang L L, Zhao Q, et al. Relative acoustic impedance inversion via Toeplitz-Sparse Matrix Factorization[J]. Chinese Journal of Geophysics.
  15. Bi H, Sun J, Xu Z. PolSAR image classification using discriminative clustering[C]// International Workshop on Remote Sensing with Intelligent Processing. IEEE, 2017:1-4.




  1.  Lan S, Wang L, Song Y, et al. Improving Separability of Structures with Similar Attributes in 2D Transfer Function Design[J]. IEEE Transactions on Visualization & Computer Graphics, 2016, 23(5):1546-1560.
  2.  Fang J, Lin D, Schulz S C, et al. Joint sparse canonical correlation analysis for detecting differential imaging genetics modules[J]. Bioinformatics, 2016, 32(22):btw485.
  3. Cao X, Zhao Q, Meng D, et al. Robust Low-rank Matrix Factorization under General Mixture Noise Distributions[J]. IEEE Transactions on Image Processing A Publication of the IEEE Signal Processing Society, 2016, 25(10):4677-4690.
  4. Zeng J, Lin S, Xu Z. Sparse Regularization: Convergence Of Iterative Jumping Thresholding Algorithm[M]. IEEE Press, 2016.
  5.  Cao W, Yao W, Jian S, et al. Total Variation Regularized Tensor RPCA for Background Subtraction From Compressive Measurements[J]. IEEE Transactions on Image Processing A Publication of the IEEE Signal Processing Society, 2016, 25(9):4075-4090.
  6. He S, Wang Y, Wang J, et al. Block-sparse compressed sensing with partially known signal support via non-convex minimisation[J]. Iet Signal Processing, 2016, 10(7):717-723.
  7. Yang Z, Xu L, Cai Z, et al. Re-scale AdaBoost for attack detection in collaborative filtering recommender systems[J]. Knowledge-Based Systems, 2016, 100:74-88.
  8. Lin Xu, Shaobo Lin, Zongben Xu. Learning capability of the truncated greedy algorithm[J]. Science China Information Sciences, 2016(5):1-15.
  9.  Wang L, Zhao Q, Gao J, et al. Seismic sparse-spike deconvolution via Toeplitz-sparse matrix factorization[J]. Geophysics, 2016, 81(3):V169-V182.
  10. Gong T, Zou B, Xu Z. Learning With L1-Regularizer Based on Markov Resampling[J]. IEEE Transactions on Cybernetics, 2016, 46(5):1189.
  11. Xu F, Lu Z, Xu Z. An efficient optimization approach for a cardinality-constrained index tracking problem[J]. Optimization Methods & Software, 2016, 31(2):258-271.
  12. Liang Y, Chai H, Liu X Y, et al. Cancer survival analysis using semi-supervised learning method based on Cox and AFT models with L1/2 regularization[J]. Bmc Medical Genomics, 2016, 9(1):1-11.
  13. Fang J, Lin S, Xu Z. Learning and approximation capabilities of orthogonal super greedy algorithm[M]. Elsevier Science Publishers B. V. 2016.
  14. Cao X, Chen Y, Zhao Q, et al. Low-Rank Matrix Factorization under General Mixture Noise Distributions[C]// IEEE International Conference on Computer Vision. IEEE, 2016:1493-1501.
  15. Zeng D, Xie Q, Bian Z, et al. Noise suppression for cerebral perfusion CT via intrinsic tensor sparsity regularization: Initial study[C]// IEEE Nuclear Science Symposium, Medical Imaging Conference and Room-Temperature Semiconductor Detector Workshop. IEEE, 2016:1-4.
  16. Xie Q, Zhao Q, Meng D, et al. Multispectral Images Denoising by Intrinsic Tensor Sparsity Regularization[C]// Computer Vision and Pattern Recognition. IEEE, 2016:1692-1700.
  17. Yang H, Sun J, Li H, et al. Deep Fusion Net for Multi-atlas Segmentation: Application to Cardiac MR Images[M]// Medical Image Computing and Computer-Assisted Intervention – MICCAI 2016. Springer International Publishing, 2016.
  18. Li H, Fan Y, Zhang Q, et al. A multi-phase multiobjective approach based on decomposition for sparse reconstruction[C]// Evolutionary Computation. IEEE, 2016:601-608.



  1. Xu F, Lu Z, Xu Z. An efficient optimization approach for a cardinality-constrained index tracking problem[J]. Optimization Methods & Software, 2016, 31(2):258-271.
  2. Sun J, Xu Z. Color Image Denoising via Discriminatively Learned Iterative Shrinkage[J]. IEEE Transactions on Image Processing, 2015, 24(11):4148.
  3. Lin S, Zeng J, Xu Z. Error Estimate for Spherical Neural Networks Interpolation[J]. Neural Processing Letters, 2015, 42(2):369-379.
  4. Wang Y, Zeng J, Peng Z, et al. Linear Convergence of Adaptively Iterative Thresholding Algorithms for Compressed Sensing[J]. IEEE Transactions on Signal Processing, 2014, 63(11):2957-2971.
  5. Lin Xu, Shaobo Lin, Yao Wang, et al. Shrinkage Degree in $L_{2$ -Rescale Boosting for Regression[J]. IEEE Transactions on Neural Networks and Learning Systems, 2017, 28(8):1851-1864.
  6. Meng D Y, Zhang B, Xu Z B, et al. Robust low-rank tensor factorization by cyclic weighted median[J]. Science China Information Sciences, 2015, 58(5):1-11.
  7. Huang G, Cambria E, Toh K, et al. New Trends of Learning in Computational Intelligence [Guest Editorial][J]. Computational Intelligence Magazine IEEE, 2015, 10(2):16-17.
  8. Zhang, Cheng-Yi; Luo, Shuanghua; Xu, Zongben. On parallel multisplitting block iterative methods for linear systems arising in the numerical solution of Euler equations. Journal of Computational and Applied Mathematics, v 279, p 249-260, February 3, 2015. PDF
  9. Zhao, Qian; Meng, Deyu; Xu, Zongben; Gao, Chenqiang. A block coordinate descent approach for sparse principal component analysis. Neurocomputing, v 153, p 180-190, April 4, 2015. PDF
  10. Zhao, Qian; Meng, Deyu; Xu, Zongben; Zuo, Wangmeng; Yan, Yan. L1-Norm Low-Rank Matrix Factorization by Variational Bayesian Method. IEEE Transactions on Neural Networks and Learning Systems, January 15, 2015, In Press. PDF
  11. Cao, Wenfei; Wang, Yao; Yang, Can; Chang, Xiangyu; Han, Zhi; Xu, Zongben. Folded-concave penalization approaches to tensor completion, Neurocomputing, v 152, p 261-273, March 25, 2015. PDF
  12. Lin S, Sun X, Xu Z, et al. Model selection of polynomial kernel regression[J]. Computer Science, 2015.
  13. Xu, Jie; Yan Tang, Yuan; Zou, Bin; Xu, Zongben; Li, Luoqing; Lu, Yang. The generalization ability of online SVM classification based on Markov sampling. IEEE Transactions on Neural Networks and Learning Systems, v 26, n 3, p 628-639, March 1, 2015. PDF
  14. Lin, Shaobo; Zeng, Jinshan; Xu, Lin; Xu, Zongben. Jackson-type inequalities for spherical neural networks with doubling weights. Neural Networks, v 63, p 57-65, March 01, 2015. PDF
  15. Han, Zhi; Xu, Zongben; Zhu, Song-Chun. Video Primal Sketch: A Unified Middle-Level Representation for Video.Journal of Mathematical Imaging and Vision,February 4, 2015, In Press. PDF
  16. Jian Sun, Wenfei Cao, Zongben Xu, Jean Ponce. Learning a Convolutional Neural Network for Non-uniform Motion Blur Removal. IEEE Conf. on Computer Vision and Pattern Recognition (CVPR), Columbus, USA, 2015. PDF
  17. Zhao Q, Meng D, Kong X, et al. A Novel Sparsity Measure for Tensor Recovery[C]// IEEE International Conference on Computer Vision. IEEE, 2015:271-279.
  18. Cao X, Chen Y, Zhao Q, et al. Low-Rank Matrix Factorization under General Mixture Noise Distributions[C]// IEEE International Conference on Computer Vision. IEEE, 2016:1493-1501.
  19. Liang D, Qiao C, Xu Z. Enhancing Both Efficiency and Representational Capability of Isomap by Extensive Landmark Selection[J]. Mathematical Problems in Engineering,2015,(2015-3-19), 2015, 2015:1-18.
  20. Liu, Xia; Lin, Shaobo; Fang, Jian; Xu, Zongben. Is extreme learning machine feasible? A theoretical assessment (Part I). IEEE Transactions on Neural Networks and Learning Systems, v 26, n 1, p 7-20, January 1, 2015. PDF
  21. Lin, Shaobo; Liu, Xia; Fang, Jian; Xu, Zongben. Is extreme learning machine feasible? A theoretical assessment (Part II). IEEE Transactions on Neural Networks and Learning Systems, v 26, n 1, p 21-34, January 1, 2015. PDF





  1. Liu, Junmin; Chen, Yijun; Zhang, Jiangshe; Xu, Zongben. Enhancing low-rank subspace clustering by manifold regularization. IEEE Transactions on Image Processing, v 23, n 9, p 4022-4030, September 2014. PDF
  2. Luan, Xin-Ze ; Liang, Yong; Liu, Cheng; Leung, Kwong-Sak; Chan, Tak-Ming; Xu, Zong-Ben; Zhang, Hai. A novel L1/2 regularization shooting method for Cox's proportional hazards model.Soft Computing, v 18, n 1, p 143-152, January 2014. PDF
  3. Zeng, Jinshan; Lin, Shaobo; Xu, Zongben. Sparse solution of underdetermined linear equations via adaptively iterative thresholding. Signal Processing, v 97, p 152-161, 2014. PDF
  4. Wang, Lisheng; Wang, Pai; Cheng, Liuhang; Ma, Yu; Wu, Shenzhi; Wang, Yu-Ping; Xu, Zongben. Detection and reconstruction of an implicit boundary surface by adaptively expanding a small surface patch in a 3D image. IEEE Transactions on Visualization and Computer Graphics, v 20, n 11, p 1490-1506, November 1, 2014. PDF
  5. Lin, Shaobo; Liu, Xia; Rong, Yuanhua; Xu, Zongben. Almost optimal estimates for approximation and learning by radial basis function networks. Machine Learning, v 95, n 2, p 147-164, May 2014. PDF
  6. Fang, Jian; Xu, Zongben; Zhang, Bingchen; Hong, Wen; Wu, Yirong. Fast compressed sensing sar imaging based on approximated observation. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, v 7, n 1, p 352-363, January 2014. PDF
  7. Xu, Jie; Tang, Yuan Yan; Zou, Bin; Xu, Zongben; Li, Luoqing; Lu, Yang. Generalization performance of Gaussian kernels SVMC based on Markov sampling. Neural Networks, v 53, p 40-51, May 2014. PDF
  8. Wang, Hui ; Huang, Ting-Zhu; Xu, Zongben; Wang, Yilun. An active contour model and its algorithms with local and global Gaussian distribution fitting energies. Information Sciences, v 263, p 43-59, April 1, 2014. PDF
  9. Lin, Shaobo; Rong, Yuanhua; Xu, Zongben. Multivariate Jackson-type inequality for a new type neural network approximation. Applied Mathematical Modelling, v 38, n 24, p 6031-6037, December 15, 2014. PDF
  10. Peng, Yi; Meng, Deyu; Xu, Zongben; Gao, Chenqiang; Yang, Yi; Zhang, Biao. Decomposable nonlocal tensor dictionary learning for multispectral image denoising. Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, p 2949-2956, September 24, 2014. PDF
  11. Xu, Jie; Tang, Yuan Yan; Zou, Bin; Xu, Zongben; Li, Luoqing; Lu, Yang; Zhang, Baochang. The Generalization Ability of SVM Classification Based on Markov Sampling. IEEE Transactions on Cybernetics, August 21, 2014. In Press. PDF
  12. Wang, Lingling ; Gao, Jinghuai; Xu, Zongben; Weng, Bing; Jiang, Xiudi. Hydrocarbon detection using adaptively selected spectrum attenuation. Journal of Applied Geophysics, v 105, p 59-66, June 2014. PDF
  13. Zeng, Jinshan; Lin, Shaobo; Wang, Yao; Xu, Zongben. L1/2 regularization: Convergence of iterative half thresholding algorithm. IEEE Transactions on Signal Processing, v 62, n 9, p 2317-2329, May 1, 2014. PDF
  14. Liu, Cheng ; Liang, Yong; Luan, Xin-Ze; Leung, Kwong-Sak; Chan, Tak-Ming; Xu, Zong-Ben; Zhang, Hai. The L1/2 regularization method for variable selection in the Cox model. Applied Soft Computing Journal, v 14, n PART C, p 498-503, 2014. PDF
  15. Li, Feng; Xu, Zongben. Sparse bayesian hierarchical prior modeling based cooperative spectrum sensing in wideband cognitive radio networks. IEEE Signal Processing Letters, v 21, n 5, p 586-590, May 2014. PDF
  16. Zou, Bin; Tang, Yuan Yan; Xu, Zongben; Li, Luoqing; Xu, Jie; Lu, Yang. The generalization performance of regularized regression algorithms based on markov sampling. IEEE Transactions on Cybernetics, v 44, n 9, p 1497-1507, September 2014. PDF
  17. Huang, Bo; Song, Huihui; Cui, Hengbin; Peng, Jigen; Xu, Zongben. Spatial and spectral image fusion using sparse matrix factorization. IEEE Transactions on Geoscience and Remote Sensing, v 52, n 3, p 1693-1704, March 2014. PDF
  18. Huang, Jie; Huang, Ting-Zhu; Zhao, Xi-Le; Xu, Zong-Ben; Lv, Xiao-Guang. Two soft-thresholding based iterative algorithms for image deblurring.  Information Sciences, v 271, p 179-195, July 1, 2014. PDF
  19. Wang, Yao; Wang, Jianjun; Xu, Zongben. Restricted p-isometry properties of nonconvex block-sparse compressed sensing. Signal Processing, v 104, p 188-196,November 2014. PDF
  20. Lin, Shaobo; Zeng, Jinshan; Xu, Zongben. Error Estimate for Spherical Neural Networks Interpolation. Neural Processing Letters, May 17, 2014. In Press. PDF
  21. Wang, Lisheng; Xu, Zongben. Quantitative studies on asymptotic growth behaviors of trajectories of nonlinear discrete dynamical systems. IEEE Transactions on Automatic Control, v 59, n 7, p 1930-1935, July 2014. PDF





  1. Yong Liang, Cheng Liu, Xin-Ze Luan, Kwong-Sak Leung, Tak-Ming Chan, Zongben Xu, Hai Zhang. Sparse logistic regression with a L1/2 penalty for gene selection in cancer classification. BMC Bioinformatics 14: 198,  2013. PDF
  2. Deyu Meng, Hengbin Cui, Zongben Xu, Kaili Jing. Following the entire solution path of sparse principal component analysis by coordinate-pairwise algorithm. Data Knowl. Eng. 88: 25-36, 2013. PDF
  3. Yao Wang, Jianjun Wang, Zongben Xu. On recovery of block-sparse signals via mixed l2/lq (0 < q <= 1) norm minimization. EURASIP J. Adv. Sig. Proc. 2013: 76, 2013. PDF
  4. Chun-Zhong Li, Zongben Xu, Tao Luo. A heuristic hierarchical clustering based on multiple similarity measurements. Pattern Recognition Letters 34(2): 155-162, 2013. PDF
  5. Chen Qiao, Wenfeng Jing, Zongben Xu. The UPPAM continuous-time RNN model and its critical dynamics study. Neurocomputing 106: 158-166, 2013. PDF
  6. Deyu Meng, Yee Leung, Zongben Xu. The strong convergence of visual classification method and its applications. Inf. Sci. 249: 85-95, 2013. PDF
  7. Wenfei Cao, Jian Sun, Zongben Xu. Fast image deconvolution using closed-form thresholding formulas of regularization. J. Visual Communication and Image Representation 24(1): 31-41, 2013. PDF
  8. Deyu Meng, Yee Leung, Zongben Xu.Passage method for nonlinear dimensionality reduction of data on multi-cluster manifolds. Pattern Recognition 46(8): 2175-2186, 2013. PDF
  9. Deyu Meng, Yee Leung, Zongben Xu. Detecting Intrinsic Loops Underlying Data Manifold. IEEE Trans. Knowl. Data Eng. 25(2): 337-347, 2013. PDF
  10. Jinshan Zeng, Zongben Xu, Bingchen Zhang, Wen Hong, Yirong Wu. 
Accelerated L1/2 regularization based SAR imaging via BCR and reduced Newton skills. Signal Processing 93(7): 1831-1844, 2013. PDF 
  11. Bin Zou, Luoqing Li, Zongben Xu, Tao Luo, Yuan Yan Tang. Generalization Performance of Fisher Linear Discriminant Based on Markov Sampling. IEEE Trans. Neural Netw. Learning Syst. 24(2): 288-300, 2013. PDF
  12. Shaobo Lin, Yuanhua Rong, Xingping Sun, Zongben Xu. Learning Capability of Relaxed Greedy Algorithms. IEEE Trans. Neural Netw. Learning Syst. 24(10): 1598-1608, 2013. PDF
  13. Feng Li, Zongben Xu, Shihua Zhu. Variational-Inference-Based Data Detection for OFDM Systems With Imperfect Channel Estimation. IEEE T. Vehicular Technology 62(3): 1394-1399, 2013. PDF





  1. Li Feng, Wang Wei, Xu Zongben. Some results on the lexicographic product of vertex-transitive graph, APPLIED MATHEMATICS LETTERS, 24(11): 1924-1926, NOV 2011 (SCI: 797SB) PDF
  2. Fu Shouzhong, Xu Zongben, Wei Guangsheng. Inverse indefinite Sturm-Liouville problems with three spectra, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 381(2)506-512, SEP 15 2011 (SCI: 768XL) PDF  
  3. Lin Shaobo; Cao Feilong; Xu Zongben. Essential rate for approximation by spherical neural networks. NEURAL NETWORKS, 24(7): 752-758, 2011. (SCI: 813VB) PDF
  4. Lin ShaoBo; Cao FeiLong; Xu ZongBen. The essential rate of approximation for radial function manifold. SCIENCE CHINA-MATHEMATICS, 54(9): 1985-1994, 2011. (SCI: 811OY)PDF
  5. Chang Xiangyu, Xu Zongben, Zou Bin. Generalization bounds of regularization algorithms derived simultaneously through hypotheses space complexity, algorithmic stability and data quality. INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 9(4): 549-570, JUN 2011 (SCI: 793SA) PDF
  6. Sun Jian, Sun Jian, Xu Zongben. Gradient Profile Prior and Its Applications in Image Super-Resolution and Enhancement, IEEE TRANSACTIONS ON IMAGE PROCESSING, 20(6): 1529-1542, JUN 2011 (SCI: 765TX) PDF
  7. Wang Jianjun, Xu Zongben. Neural networks and the best trigomometric approximation, JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 24( 2): 401-412, APR 2011 (SCI: 750FG) PDF
  8. Wang Wei, Li Feng, Lu Hongliang. Graphs determined by their generalized characteristic polynomials, LINEAR ALGEBRA AND ITS APPLICATIONS,  434(5): 1378-1387, MAR 1 2011 (SCI: 713FP)PDF 
  9. Zou Bin, Chen Rong, Xu Zongben. Learning performance of Tikhonov regularization algorithm with geometrically beta-mixing observations, JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 141(3), 1077-1087, MAR 2011 (693MB) PDF
  10. Meng Deyu, Leung Yee, Xu Zongben. A new quality assessment criterion for nonlinear dimensionality reduction,NEUROCOMPUTING, 74(6): 941-948,  2011 (735KJ) PDF
  11. Zhang Yongquan, Cao Feilong, Xu Zongben. Optimal rate of the regularized regression learning algorithm, INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 88(7): 1471-1483, 2011 (SCI: 749YA)PDF
  12. Zhang Yongquan, Cao Feilong, Xu Zongben. Estimation of learning rate of least square algorithm via Jackson operator, NEUROCOMPUTING, 74(4): 516-521,  JAN 2011 (712WU) PDF 
  13.  Cao Feilong, Lin Shaobo, Xu Zongben. Approximation capability of interpolation neural networks, NEUROCOMPUTING, 74(1-3): 57-460,  DEC 2010 (SCI: 701GG)  PDF



  1. Wang Jianjun, Xu Zongben. New study on neural networks: The essential order of approximation. NEURAL NETWORKS, 23(5): 618-624, JUN 2010 (SCI: 609ZD) PDF
  2. Sun, Jian, Xu, Zongben. Scale selection for anisotropic diffusion filter by Markov random field model. PATTERN RECOGNITION, 43(8): 2630-2645, AUG 2010 (SCI: 603CS)  PDF 
  3. Xu Zongben, Sun Jian. Image Inpainting by Patch Propagation Using Patch Sparsity. IEEE TRANSACTIONS ON IMAGE PROCESSING, 19 (5): 1153-1165, MAY 2010 (SCI IDS number: 585HN)  PDF
  4. Xu ZongBen, Zhang Hai, Wang Yao, Chang XiangYu, Liang Yong. L (1/2) regularization. SCIENCE CHINA-INFORMATION SCIENCES, 53(6): 1159-1169, JUN 2010 (SCI: 602SL)  PDF
  5. Li Ruihu, Xu Zongben. Construction of [[n,n − 4,3]]q quantum codes for odd prime power q. PHYSICAL REVIEW A 82, 052316 (2010) (SCI: 680TF) PDF
  6. Qiao Chen, Xu Zongben. On the P-critical dynamics analysis of projection recurrent neural networks. NEUROCOMPUTING, 73(13-15), Sp. Iss. SI, 2783-2788, AUG 2010 (SCI: 647IQ).
  7. Cao Feilong, Lin Shaobo, Xu Zongben. Constructive approximate interpolation by neural networks in the metric space. MATHEMATICAL AND COMPUTER MODELLING 52(9-10), 1674-1681, NOV 2010 (SCI: 644DZ) PDF
  8. Wang Jianjun, Han Guodong, Xu Zongben. Derivatives of Bernstein Operators and Smoothness with Jacobi Weights. TAIWANESE JOURNAL OF MATHEMATICS, 14(4): 1491-1500, AUG 2010 (SCI: 635WC) PDF








  1. Bin Zou, Luoqing Li and Zongben Xu, The Generalization Performance of  ERM Algorithm with Strongly Mixing Observations, Machine Learning. 25(2): 188-2000, 2009 PDF
  2. Xu Zongben, Zhang Rui, Jing Wen-Feng. When Does Online BP Training Converge? IEEE TRANSACTIONS ON NEURAL NETWORKS,20(10) : 1529-1539,OCT 2009  (SCI: 508RE) PDF
  3. Chen Zhiping, Xu Zongben. Continuity and Stability of a Quadratic Mixed-Integer Stochastic Program. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION,30 (5-6): 462-477,2009 (SCI: 500VD) PDF
  4. Wang Wei, Xu Zongben. On a conjecture of He concerning the spectral reconstruction of matrices JOURNAL OF ALGEBRAIC COMBINATORICS ,30(3): 311-321, NOV 2009  (SCI:496FE) PDF
  5. Li Ruihu, Xu Zongben. Combinational construction of linear quantum codes from quaternary BCH codes. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 7(5): 1039-1046, 2009 (SCI: 485LL) PDF
  6. Cao Feilong, Zhang Yongquan, Xu Zongben. Lower estimation of approximation rate for neural networks,SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES 52( 8): 1321-1327, 2009 (SCI:481DX) PDF
  7. Xu Zongben, Dai Mingwei, Meng Deyu. Fast and Efficient Strategies for Model Selection of Gaussian Support Vector Machine, IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 39(5): 1292-1307, 2009  (SCI :468ZY) PDF
  8. Wang Lisheng. Zhang Rui, Xu Zongben, et al. Some Characterizations of Global Exponential Stability of a Generic Class of Continuous-Time Recurrent Neural Networks. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 39(3): 763-772, 2009 (SCI: 445RQ) PDF
  9. Zou Bin, Zhang Hai, Xu Zongben. Learning from uniformly ergodic Markov chains, JOURNAL OF COMPLEXITY, 25(2): 188-200, 2009 (SCI: 434WA) PDF
  10. Qiao Chen, Xu Zongben. A critical global convergence analysis of recurrent neural networks with general projection mappings, NEUROCOMPUTING,72(7-9):1878-1886,2009 (SCI: 430MM) PDF
  11. Wang Jianjun, Xu Zongben. Approximation with Jacobi weights by Baskakov operators. TAIWANESE JOURNAL OF MATHEMATICS  13(1): 157-168, 2009 (SCI:398BD) PDF
  12. Li Youmei, Xu Zongben, Cao Feilong. An Improvement to Ant Colony Optimization Heuristic.  ADVANCES IN NEURAL NETWORKS - ISNN 2008, PT I, PROCEEDINGS, LECTURE NOTES IN COMPUTER SCIENCE,   5263:816-825, Part I, 2008 (SCI: BIM03) PDF





  1. Deyu Meng, Yee Leung, Zongben Xu, Tung Fung and QingFu Zhang, Improving geodesic distance estimation based on locally linear assumption, Pattern regconition letters , 29(2008), 862-870.PDF
  2. Feilong Cao, Tingfan Xie and Zongben Xu, The estimate for approximation error of neural networks: A constructive approach, Neurocomputing, 71(2008), 626-630.PDF
  3. Chuanxi Zhu, Zongben Xu, Inequalities and solution of an operator equation, Applied Mathematics letters, 21(2008), 607-611.PDF
  4. Guodong Han, Zongben Xu, Multiple solutions of some nonlinear fourth-order beam equations, Nonlinear Analysis, 68(2008), 3646-3656.PDF
  5. Fengjun Li, Zongben Xu, The estimation of simultaneous approximation order for neural networks, CHAOS SOLITONS & FRACTALS, 36(2008), 572-580.PDF
  6. Sun jian, Sun jian, Zongben Xu and Heung-Yeung Shum, Image Super-Resolution using Gradient Profile Prior, CVPR 2008.PDF
  7. Deyu Meng, Yee Leung, Tung Fung and Zongben Xu, Nonlinear Dimensionality Reduction of Data Lying on the Multicluster Manifold, IEEE TRANSACTIONS ON SYSTEMS, MAN, AND CYBERNETIS—PART B: CYBERNETICS, 38(2008),1111-1122.PDF
  8. Zhaolin jiang, Zongben Xu, A New Algorithm For Computing The Inverse And Generalized Inverse of the Scaled Factor, Journal of Computational Mathematics, 26(2008), 112-122.PDF
  9. Ruihu Li, Zongben Xu and Xueliang Li, Standard Forms of Stabilizer and Normalizer Matrices for Additive Quantum Codes, IEEE TRANSACTIONS ON INFORMATION THEORY, 54(2008), 3775-3778.PDF
  10. Ruihu Li, Zongben Xu and Xuejun Zhao, On The Classification of Binary Optimal Self-Orthogonal Codes, IEEE TRANSACTIONS ON INFORMATION THEORY, 54(2008), 3778-3782.PDF


  1. Jian Sun,  Sing Bing Kang, Zong-Ben Xu et al, Flash Cut: Foreground Extraction with Flash and No-flash Image Paires, CVPR, 2007.PDF
  2. Xu Wenxiong, Zhang Tailei and Xu Zongben, Asymptotic Analysis of a Nonlinear SEIS Differential-Integral Equation Model, International Conference on Computational Intelligence and Security Workshops, 2007.PDF
  3. Jianjun Wang, Zongben Xu and Jia Jing, Constructive Trigonometric Function Approximation of Neural Networks, Third International Conference on Semantics, Knowledge and Grid, 2007.PDF
  4. Deyu Meng, Zongben Xu, Nannan Gu and Mingwei Dai, Estimating geodesic distances on locally linear patces, IEEE International Symposium on Signal Processing and Information Technology, 2007.PDF
  5. Yu Gu, Jiashu Zhao, Dong Liang and Zongben Xu, Immunity Diversity Based Multi-Agent Intrusion Detection, IEEE Congress On Evolutionary Computation, 2007.PDF
  6. FengJun Li, ZongBen Xu, The essential order of simultaneous approximation for neural networks, Applied Mathematics and Computation 194(2007), 120-127.PDF
  7. K.L.Mark, J.G.Peng, Z.B.Xu and K.F.C. Yiu, A new stability criterion for discrete-time neural networks: Nonlinear spectral radius, Chaos, Solitons and Fractals, 31(2007), 424-436.PDF
  8. Yong Liang, Kwong-Sak Leung and Zong-Ben Xu, Neural Network Training Using Genetic Algorithm with a Novel Binary Encoding, LNCS, 4492(2007), 371-380..PDF
  9. Chen Qiao, Zong-Ben Xu, New Critical Analysis on Global Convergence of Recurrent Neural Networks with Projection Mappings, LNCS, 4492(2007), 131-139.PDF
  10. Daowu Pei, Zong-Ben Xu, Transformation of rough set models, Konwledge-Based Systems 20(2007), 745-751.PDF
  11. Lisheng Wang, Zongben Xu, On Characterizations of Exponential Stability of Nonlinear Discrete Dynamical Systems on Bounded Regions, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 52(2007), 1871-1881.PDF
  12. Lisheng Wang, Zongben Xu and Qunfei Zhao, Quantitative Characterizations of Exponential Convergence Property of Nonlinear Discrete Dynamical Systems, IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 52(2007), 2129-2134. PDF



  1. Wenfeng Jing,Deyu Meng, Mingwei Dai, Zongben Xu.A new pre-processing method for regression,LECTURE NOTES IN COMPUTER SCIENCE, 3972: 765-770 2006PDF
  2. Li, FJ; Xu, ZB, Integral transform and its application to neural network approximation, LECTURE NOTES IN COMPUTER SCIENCE, 3971: 66-71 Part 1 2006 (SCI: BEM20)PDF
  3. Ding, CM; Cao, FL; Xu, ZB, The essential approximation order for neural networks with trigonometric hidden layer units, LECTURE NOTES IN COMPUTER SCIENCE, 3971: 72-79 Part 1 2006 (SCI:BEM20)PDF
  4. Sun, J; Xu ZB, An edge preserving regularization model for image restoration based on Hopfield neural network,LECTURE NOTES IN COMPUTER SCIENCE, 3972: 563-568 2006(SCI:BET84)PDF
  5. Xu, ZB; Wang, JJ ,The essential order of approximation for nearly exponential type neural networks SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 49 (4): 446-460 AUG 2006(SCI:085OX)PDF
  6. Guangsheng Wei, Zongben Xu, A characterization of boundary conditions for regular Sturm-Liouville problems which have the same lowest eigenvalues,ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 36 (2): 741-763 2006(SCI:061TX)PDF
  7. Zhenji Tian, Zongben Xu, The Lattice of Full Subsemigroups of an Inverse Semigroup, Semigroup Forum, 73(2006), 457-469.PDF
  8. Mak, KL; Peng, JG; Xu, ZB; et al.,A novel neural network for associative memory via dynamical systems,DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 6 (3): 573-590 MAY 2006(SCI:012DA)PDF
  9. Lisheng Wang; Xu ZB, Sufficient and necessary conditions for global exponential stability of discrete-time recurrent neural networks, IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS—I: REGULAR PAPERS, 53(6):1373-1380(SCI:055CF)PDF
  10. Zhaolin Jiang, Zongben Xu and Shuping Gao, Algorithms for Finding the Inverse of Factor Block Circulant Matrices, NUMERICAL MATHEMATICS, 15(2006), 1-11.PDF




  1. Zhang R, Xu ZB. A generalized global convergence theory of projection-type neural networks for optimization, Computational Intelligence and Security, PT 1, Proceedings Lecture Notes in Artificial Intelligence 3801: 777-784 2005  (SCI: BDQ19)PDF
  2. Jin HD, Leung KS, Wong ML, Xu ZB. Scalable model-based cluster analysis using clustering features, Pattern Recognition, 38 (5): 637-649, MAY 2005. (SCI: 902MD)PDF
  3. Xu ZB, Meng DY, Jing WF. A new approach for classification: Visual simulation point of view, Lecture Notes in Computer Science, 3497: 1-7 2005. (SCI: BCN40 )PDF
  4. Li YM, Xu ZB, Cao FL. Generalization and property analysis of GENET,  Lecture Notes in Computer Science, 3496: 63-68 2005. (SCI: BCN38)PDF
  5. Peng JG, Xu ZB, Qiao H, et al. A critical analysis on global convergence of Hopfield-type neural networks, IEEE Transactions on Circuits and Systems I-Regular Papers, 52 (4): 804-814 APR 2005. (SCI: 914LD)PDF
  6. Cao FL, Xu ZB, Li YM. Pointwise approximation for neural networks, Lecture Notes in Computer Science, 3496: 39-44, 2005. (SCI: BCN38)PDF
  7. Xu ZB, Cao FL. Simultaneous L-P-approximation order for neural networks, Neural Networks, 18 (7): 914-923, SEP 2005. (SCI:968IL)PDF
  8. YONG-CHANG JIAO, YEE LEUNG, ZONGBEN XU et al, Variable Programming: A Generalized Minimax Problem.Part I: Models and Theory, Computaion Optimization and Applications, 30(2005), 229-261.PDF
  9. YONG-CHANG JIAO, YEE LEUNG, ZONGBEN XU et al, Variable Programming: A Generalized Minimax Problem.Part II: Algoritms, Computaion Optimization and Applications, 30(2005),263-295.PDF 
  10. Feilong Cao, Chunmei Ding, Zongben Xu, On multivariate Baskakov operator, J.Math.Anal.Appl., 307(2005), 274-291.PDF
  11. Jigen Peng and Zongben Xu, A novel dual approach to nonlinear semigroups of lipschitz operators, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 357(2005), 409-424.PDF
  12. Deyu Meng, Zongben Xu, Wenfeng Jing, A more efficient preprocessing method for support vector classification, Neural Networks and Brain, International Conference on, 2(2005), 1173-1177.PDF
  13. Zhaolin Jiang and Zongben Xu, Efficient algorithm for finding the inverse and the group inverse fo fls r-circulant matrix, J.Appl.Math.& Computing, 18(2005), 45-57.PDF
  14. Guangsheng Wei, Zongben Xu, An expanded Phillips theory and its application to differential eperators, Journal of Functional Analysis, 222(2005), 29-60.PDF 



  1. Leung, KS, Jin, HD, Xu, ZB, An expanding self-organizing neural network for the traveling salesman problem, Neurocomoputing 62: 267-292 DEC 2004 (SCI: 878XP)PDF
  2. Wang J.J,  Xu ZB, Xu WJ, Approximation bounds by neural networks in L-w(P), Advances in Neural Networks  - ISNN 2004, PT 1, Lecture Notes in Computer Science 3173 (2004), 1-6 (SCI: BAT64)PDF
  3. Li S.G, Zhang LL,& Xu ZB, Strong fuzzy compact sets and ultra-fuzzy compact sets in L-topological spaces, Fuzzy Sets and Systems147(2004) 293-306 (SCI: 855YQ)PDF
  4. Wang WJ, Xu ZB,A heuristic training for support vector regression,Neurocomputing 61(2004),259-275  (SCI: 862SO)PDF
  5. Z.B.Xu, F.L.Cao, The essential order of approximation for neural networks, Science in China (F): Information Sciences, 47(1) (2004), 97-112  (SCI:773XP)PDF
  6. Z.B.Xu, H.Qiao, J.G. Peng, et al. A comparative study of two modeling approaches in neural networks, Neural Networks, 17(1)(2004), 73-85  (SCI:762ZD)PDF
  7. Li S.G, Zhang LL,& Xu ZB, Strong fuzzy compact sets and ultra-fuzzy compact sets in L-topological spaces, Fuzzy Sets and Systems147(2004) 293-306 (SCI: 855YQ)PDF
  8. Huai Xin Cao, Zongben Xu, Lipschitz Operators and the Solvability of Non-linear Operator Equations, Acta Mathematica Sinica, English Series, 20(2004), 499-506.PDF



  1. Z.B.Xu, Y. Liang and K.S.Leung, Efficiency speed-up strategies for evolutionary computation: Fundamentals and Fast-GAs, Applied Mathematics and Computation,142(2003) 341-388  (SCI:688WX) PDF
  2. H.D.Jin, K.S.Leung, M.L.Wong and Z.B.Xu, An efficient self-organizing map designed by genetic algorithms for the traveling salesman problem, IEEE Transaction on System, Man and Cybernetics, Part B 33(6):877-888 (2003) (SCI: 743TJ)PDF
  3. W.J.Wang, Z.B.Xu, W.Z.Lu, et al. Determination of the spread parameter in the Gaussian kernel for classification and regression, Neurocomputing, 55(3&4) (2003), 643-663  (SCI: 749WQ)PDF
  4. W.P.Zhang, Z.B.Xu and Y.Yi, A problem of D.H.Lehmer  and its mean square value formula , J NUMBER THEORY , 103(2)(2003), 197-213  (SCI:749VP)PDF
  5. H. Qiao, J.Peng and Z.B.Xu, et al, . A reference model approach to stability analysis of neural networks, IEEE Transaction on System, Man and Cybernetics (B), 33(6) (2003),:925-936. (SCI: 743TJ)PDF
  6. W.Z., Lu, W.J. Wang , X.K .Kang  and Z.B.Xu, et al. Using improved neural network model to analyze RSP, NOX and NO2 levels in urban air in Mong Kok, Hong Kong, ENVIRON MONIT ASSESS 87(3) (2003), 235-254  (SCI: 702ZY)PDF
  7. W.J. Wang , Z.B.Xu, and J.W.Lu , Three improved neural network models for air quality forecasting, Engineering Computation, 20(1-2) (2003), 192-210  (SCI:IDS 670WY)PDF
  8. F.L.Cao and Z.B.Xu, Local and global approximation theorems for Baskakov type operators, INDIAN J PURE APPL. MATH. 34(3) (2003),385-395  (SCI: 667YR)PDF
  9. J.G.Peng, Z.B.Xu, An estimate of growth bound of positive C-0-semigroup on L-p space and its applications, INTEGR EQUATION and OPERTORY THEORY, 46(4)(2003) , 489-500 (SCI: 707ED)PDF
  10. J.G.Peng, Z.B.Xu, A note on Soderlind’s conjecture, Linear Algebra Appl. 367(2003), 47-57  (SCI:680UX)PDF



  1. K.S.Leung, J.Y.Sun and Z.B.Xu, Efficiency speed-up strategies for evolutionary computation: An adapative implementation, Engineering Computation, 19(3) (2002), 272-304 PDF
  2. J.Y.Liang and Z.B.Xu, The algorithm on knowledge reduction in incomplete information systems, International J Uncertainty, Fuzziness and Knowledge- based Systems, 10(2002), 95-103  (SCI: 533HL) PDF
  3. Z.B.Xu, H.D.Jin, et.al, An automata network for performing combinatorial  optimization,  Neuromputing, 47(2002), 59-83  (SCI: 568RB) PDF
  4. Z.B.Xu, J.Y.Liang, C.Y.Dang and K.S.Chin, Inclusion degree: A perspective on measures for rough set data analysis, Information Science, 141(2002), 227-236 (SCI: 568RB) PDF
  5. Y.J.Liu, Z.B.Xu, Monoid Algorithms and Semigroup Properties Related to Dense Regular Languages, Proceedings of the International Conference on Algebra and Its Application, 2002, 203-214.PDF
  6. Huai-Xin Cao, Zong-Ben Xu et.al, Matrix-traces on C*-algebra Mn(A), Linear Algebra and its Applications, 345(2002), 255-260. PDF
  7. Wenjian Wang, Weizhen Lu, Andrew Y Y Leung, Siu-Ming Lo and Zongben Xu et.al, optimal Feed-Forward Neural Networks Based on the Combination of Constructing and Pruning by Genetic Algorithms, Proceedings of the 2002 Joint Conference on Neural Networks (IJCNN’02), 1(2002), 636-641
  8. W.Z.Lu, W.J.Wang, H.Y.Fan, A.Y.T.Leung, Z.B.Xu, et.al, Prediction of Pullutant Levels in Causeway Bay Area of Hong Kong Using an Improved Neural Network Model, Journal of Environmental Engineering, 2002, 1146-1157.
  10. Weizhen lu, Wenjian Wang, Andrew Y T Leung, Siu-Ming Lo, Richard K K Yuen,.Zongben Xu et.al, Air Pollutant Parameter Forecasting Using Support Vector Machines, Neural Networks, 2002. IJCNN ’02. Proceedings of the 2002 International Joint Conference on. PDF
  11. J.G..Peng, H.Qiao & Z.B.Xu, A new approach to stability of neural networks    with time-varying delays, Neural Networks , 15(1) (2002),95-103 (SCI: 540GA) PDF



  1. H.Qiao, J.S.Zhang & Z.B.Xu, A new data processing method based on a    biological model of compound eye: Direction quantization representation,  IEEE Trans. Systems, Man and Cybernetics, 31(3) (2001), 238-245 (SCI:437XK)
  2. K.S.Leung, Z.B.Xu & C.K.Wong, A new model of simulated evolutionary computation: Convergence analysis and specifications, IEEE Trans. Evolu.   Comput. 5:1(2001), 3-16 (SCI:409EJ) PDF
  3. H.Qiao, J.G.Peng & Z.B.Xu, Nonlinear measure: A new approach to exponential stability analysis for neural networks, IEEE Trans. Neural Networks, 12(2) (2001), 360-370 (SCI:418JG) PDF
  4. Guangsheng Wei, Zongben Xu, Self-Adjoint Domains of Products of Differential Expressions, Journal of Differential Equations, 174(2001), 75-90. PDF
  5. Hong-Yong Wang and Zong-Ben Xu, A class of Rough Surfaces and Their Fractal Dimensions, Journal of Mathematical Analysis and Applications, 259(2001), 537-553.PDF 



  1. H.Y.Fan, J.W.Z.Lu & Z.B.Xu, An empirical comparison of three novel genetic   algorithms, Engineering Computations, Vol.17,No.8(2000), 981-1001 (SCI: 385XE) PDF
  2. S.G..Li & Z.B.Xu, Characterizations of minimal T3 L-fuzzy topological spaces,     Information Science,128 (2000)119-126  (SCI:347EZ) PDF
  3. Y.Leung, J.S. Zhang & Z.B.Xu, Clustering by scale-space filtering, IEEE Trans.   Pattern Analysis and Machine Intelligence, 22:12(2000), 1396-1410 (SCI:    383UR)
  4. Liang Jiye and Xu Zongben, Uncertainty Measures of Roughness of Knowledge and Rough Sets in Incomplete Information Systems, Proceedings of the 3rd World Congress on Intelligent Control and Automation, 2000. PDF


  1. X.W.He, C.P.Kwong & Z.B.Xu, A competitive associative memory model and its    dynamics, IEEE Trans. Neural Networks, 6:3(1995), 929-940 (SCI: RF582) PDF
  2. Z.B.Xu & C.P.Kwong, Asymmetric Hopfield-type networks: Theory and Applications, Neural Networks , 9:3(1996), 483-501 (SCI:UK045) PDF
  3. Z.B.Xu, G.Q.Hu & C.P.Kwong, A decomposition principle for complexity   reduction of Artificial neural networks, Neural Networks, 9:6(1996), 999-1016  (SCI: VL226) PDF  
  4. Y.Leung, J.S.Zhang & Z.B.Xu, Neural Networks for convex hull computation,    IEEE Trans. Neural Networks, 8:3(1997), 606-611 (SCI: WX208) PDF
  5. Z.B.Xu, C.P.Kwong, Global convergence and asymptotic stability of asymmetric Hopfield neural networks, J.Math.Anal.Appl., 190(1995),405-427 (SCI:QV045) PDF
  6. Z.B.Xu, G.Q.Hu & C.P.Kwong, Some efficient strategies for improving eigen- structure method in sysnthesis of feedback neural networks, IEEE Trans. Neural    Networks, 7:1(1996) (SCI:TQ671)
  7. Y.Leung, Y.Gao & Z.B.Xu, Degree of population diversity—A perspective on premature convergence in genetic algorithm and its Markov chain analysis, IEEE    Trans. Neural Networks, 8:4(1997), 1165-1176 (SCI: XT985) 
  8. Y.W.Leung, J.S.Zhang & Z.B.Xu, Optimal neural networks for on-line string matching, IEEE Trans. System, Man & Cybernetics, 28(1998), 737-739 (SCI:   119XB) PDF
  9. Y.Leung, G Li & Z.B.Xu, A genetic algorithm for multiple destination rounting problem, IEEE Trans. Evolutionary Computation, 2:4(1998), 150-161 PDF
  10. Zong-Ben Xu, Jiang-She Zhang and Wei Wang, A Cell Exclusion Algorithm for Determining All the Solutions of a Nonlinear System of Equations, APPLIED MATHEMATICS AND COMPUTATION, 80(1996), 181-208.  PDF
  11. Zong-Ben Xu, Jiang-She Zhang and Yiu-Wing Leung, A General CDC Formulation for Specializing the Cell Exclusion Algorithms of Finding All Zeros of Vector Functions, APPLIED MATHEMATICS AND COMPUTATION, 86(1997), 235-259. 
  12. Zong-Ben Xu, Jiang-She Zhang and Yiu-Wing Leung, An Approximate Algorithm for Computing Multidimensinal Convex Hulls, APPLIED MATHEMATICS AND COMPUTATION, 94(1998), 193-226. PDF
  13. Y.L.Jiang, Z.B.Xu and G.F.Roach, On conditions of weak convergence of nonlinear contraction semigroups and of iterative methods for accretive operators in Banach spaces, Nonlinear Analysis–TMA, 27:4(1996), 387-396. 
  14. Zong-Ben Xu and Bo-Ting Yang, The Heuristics for the Constrained Multicast Routing, Proceedings of the Second Asian Computing Science Conference on Concurrency and Parallelism, Programming, Networking, and Security, 204-212. PDF
  15. PENG Jigen and XU Zongben, Nonlinear version of Holub’s theorem and its applicaion, Chinese Science Bulletin, 43(1998), 89-91. PDF
  16. Z.Y.Chen, C.P.Kwong & Z.B.Xu, Multiple-value feedback neural networks, Neural Comput.Appl. 3(1995), 242-250 (SCI: TG526) PDF
  17. Y.Leung, T.X.Dong & Z.B.Xu, The optimal encodings for biased association in linear associative memories, Neural Netwoks, 11(1998), 877-884 (SCI: 118KY) PDF
  18. Z.B.Xu, Y.Leung & X.W.He, Asymmetric bidirectional associative memories, IEEE Trans. System, Man & Cybernetics, 24:10(1994), 1556-1564 (SCI: PF192) PDF
  19. Z.B.Xu,A computational ball test for existence of solutions to nonlinear operator equations, SIAM J Numer. Anal., 26(1989), 239-248 (SCI: T1462) PDF
  20. Z.B.Xu and G.F.Roach, An alternating procedure in uniformaly convex and uniformly smooth Banach spaces, Proc.Amer.Math.Soc., 111(1991), 1067-1074  PDF
  21. Zongben Xu and XingZhong Shi, A Comparison of Point and Ball Iterarions in the Contractive Mapping Case, Computing, 49(1992), 75-85.  PDF
  22. Guo-Qing Hu, Chung-Ping Kwong and Zong-Ben Xu, Two Iterative Encoding Schemes for Bidirectional Associative Memory, International Symposium on Speech, Image Processing and Neural Networks, 1994, 13-16.  PDF

Books or Book Chapters: 

  1. Z.Y.You, H.Y.Geng & Z.B.Xu, "Nonlinear Analysis," , Xi’an Jiaotong University Press (1991),1-349 .
  2. C.X.Xu & Z.B.Xu, "Matrix Analysis," Northwest University of Polytechnic Press, (1992),1-321
  3. Z.B.Xu & C.P.Kwong, "Associative Memories," A chapter of  Neural Network System Techniques and Applications (ed. By C.T.Leondes) Vol.3,pp.183-256, Academic Press, New York,1998
  4. Z.B.Xu, J.S.Zhang & Y.L.Zhen, “Computational Intelligence: Theory and Algorithms”, Scientific Press (Beijing), 2002, pp. 1-306
  5. Z.B.Xu & C.K.Liou, “Brief Introduction to Information Engineering”, Scientific Press (Beijing), 2002, pp. 1-302
  6. Z.P.Chen & Z.B.Xu, “Computer Mathematics: Computational Complexity Theory and Solutions to NPC and NP Problems”, Scientific Press (Beijing), 2002, pp.1-361
  7. Z.B. Xu,“Computational Intelligence:(Part I)—The Simulated Evolutionry Computation Technologies”,Higher Education Press of China,2004.