## Publications - Neural Networks

#### Books

- Xiang-Sun Zhang. Neural Networks in Optimization. Kluwer Academic Publishers, Dordrecht, Boston, London, 2000.

#### Refereed Journal Articles

- Xiang-Sun Zhang, Xin-Jian Zhuo, and Zhu-Jun Jing. A canonical neural network model for nonlinear programming problems, to appear in
*Acta Mathematicae Applicatae Sinica*.

- Ju-Liang Zhang, and Xiang-Sun Zhang. Neural networks for linear inequalities.
*OR Transactions*, 2002, 6(1), pp:9-18.

- Ju-Liang Zhang, and Xiang-Sun Zhang. A new neural network for linear programming.
*OR Transactions*, 2001, 5(2), pp:46-54.

- Xin-Jian Zhuo, Xiang-Sun Zhang, and Z.B.Xu. The study on research of convergence and its reliability analysis of the discrete Hopfield-type neural network.
*Systems Science and Mathematical Sciences*, 2001, 21(2), pp:152-162. (In Chinese)

- De-Gang Liu, and Xiang-Sun Zhang. Test problem generator by neural network for algorithms that try solving nonlinear programming problems globally.
*Journal of Global Optimization*, 2000, 16(3), pp:229-243.

- De-Gang Liu, and Xiang-Sun Zhang. Modified optimization layer by layer for learning multilayer perceptrons.
*Acta Mathematicae Applicatae Sinica*, 2000, 16(1), pp:59-69.

- Xin-Jian Zhuo, and Xiang-Sun Zhang. Hopfield-type neural network for solving "four-coloring map problems".
*OR Transactions*, 1999, 3(3), pp:35-43. (In Chinese)

- Xiang-Sun Zhang. Trust region method in neural network.
*Acta Mathematicae Applicatae Sinica (English Series)*, 1997, 13(4), pp:342-352.

- Xiang-Sun Zhang. Mathematical analysis for some neural networks that solving linear and quadratic programming.
*Acta Mathematicae Applicatae Sinica*, 1996, 12(1), pp:1-10.

- Xiang-Sun Zhang, Hong-Feng Li, and Xiao-Dong Wang. A straightforward mathematical analysis for the Hopfield neural network.
*Acta Electronica Sinica*, 1992, 20, pp:10-18 .

#### Proceedings Articles

- Xiang-Sun Zhang, Zhen-Ping Li, and Wen-Feng Zhou. A neural network algorithm for the (m,d)-coloring problem of a graph.
*Proceedings of ORSC 2004*, pp:382-389, Global-Link Publishing Company, 2004.

- Ling-Yun Wu, Ji-Hong Zhang, and Xiang-Sun Zhang. Neural networks approach to DNA sequencing by hybridization.
*Operations Research and Its Applications, Lecture Notes in Operations Research*, vol.4, pp:312-320, World Publishing Corporation, 2002.

- Ling-Yun Wu, Xiang-Sun Zhang and Ju-Liang Zhang. Application of discrete Hopfield-type neural network for max-cut problem.
*Proceedings of ICONIP 2001*, pp:1439-1444, Fudan University Press, Shanghai, 2001.

- Xiang-Sun Zhang, Xin-Jian Zhuo, and Lei Wang. Discrete Hopfield-type Neural network model for solving "Traveling-salesman problem".
*Operations Research and Its Applications, Lecture Notes in Operations Research*, vol.3, pp:287-295, World Publishing Corporation, 1998.

- Xiang-Sun Zhang. How many spurious patterns in the Hopfield neural network.
*Proceedings of IEEE International Conf. on Neural Networks and Signal Processing(ICNNSP'95)*, pp:117-120, 1995.

- Xiang-Sun Zhang, and S.Amari. A composite network model that tries to solve nonlinear programming problem globally.
*Proceedings of the International Conference on Neural Information Processing(ICONIP95)*, Yixin Zhong (ed), pp:809-812, 1995.

- Xiang-Sun Zhang, and Peter C.B.Lam. Mathematical analysis for neural networks that simulates the penalty methods in nonlinear programming.
*Operations Research and Its Applications, Lecture Notes in Operations Research*, vol.1, pp:93-102, World Publishing Corporation, 1995.

- Xiang-Sun Zhang, G.-J.Zhang, and H.-C.Zhu. Doing optimization by neural network: solving combinatorial network problem.
*Optimization Theory and Application*, M.-Y.Yue (ed.), pp:1-6, Xi'an Electronic Science and Technology University Press, 1994 (In Chinese).

- Xiang-Sun Zhang. The approximation capability of the feedforward neural network and a class of generalized Fourier network.
*Proceeding of Chinese SIAM'94*, pp:108-116, Qinghua University Press, 1994 (In Chinese).

- Xiang-Sun Zhang, and Hui-Can Zhu. A neural network model for quadratic programming with simple upper and lower bounds and its application to linear programming.
*Algorithms and Computation, Lecture Notes in Computer Science 834*, Ding-Zhu Du and Xiang-Sun Zhang(eds.), pp:119-127, Springer-Verlag, 1994.

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