Representative Publications
Combinatorial
Optimization
- Zhi-Yong Liu, Hong Qiao,
and Lei Xu (2012), “An Extended Path Following
Algorithm for Graph-Matching Problem,” IEEE Transactions on Pattern Analysis and Machine Intelligence,
Vol.34(7):pp1451-1456, 2012.
- Lei Xu (2010), "Machine learning problems from
optimization perspective", A special issue for CDGO 07, Journal of Global Optimization, 47,
2010, 369–401.
- Lei Xu (2007), `` One-Bit-Matching Theorem for ICA, Convex-Concave
Programming on Polyhedral Set, and Distribution Approximation for
Combinatorics
", Neural Computation, 19:
546-569. 2007 .
- Lei Xu and E.Oja (1989),
``Improved Simulated Annealing, Boltzmann Machine and Attributed Graph
Matching", in G.Goos and J.Hartmanis eds., Lecture Notes in
Computer Sciences, Vol.412, Springer-Verlag, pp.151-160.
- Lei Xu and Irwin
King, (2001), ``A PCA approach for fast retrieval of structural patterns
in attributed graphs", IEEE Transactions on Systems, Man and
Cybernetics, Part B, Vol. 31, No. 5 , Oct. 2001, pp 812 -817.
- Lei Xu (1994)``Combinatorial Optimization Neural Nets Based on A
Hybrid of Lagrange and Transformation Approaches", 1994 Proc. of
World Congress on Neural Networks, June 4-9, 1994, SanDiego, CA,
Vol.II, 399-404,
- Lei Xu (1995)``On The Hybrid LT Combinatorial Optimization: New
$U$-Shape Barrier, Sigmoid Activation, Least Leaking Energy and Maximum
Entropy", Proc. 1995 Intl Conf. on Neural Information Processing
(ICONIP95), Oct 30 - Nov. 3, Beijing,
Vol. I, pp309-312.
- Lei Xu
(2003), ``Distribution Approximation, Combinatorial Optimization, and
Lagrange-Barrier", Proceedings of International Joint Conference
on Neural Networks 2003 (IJCNN '03)}, July 20-24, 2003, Jantzen
Beach, Portland, Oregon,
pp2354-2359.
- SUN Ke; TU Shikui; DAVID Yang Gao and Lei Xu (2009). "Canonical
Dual Approach to Binary Factor Analysis". Lecture Notes
in Computer Science 5441 ed. by Adali, T.; Jutten, C.; Romano,
J.M.T.; Barros, A.K. . pp.346-353. /Heidelberg, Springer .March, 2003.Berlin.
- S.M. Chan, K.M. Lau and Lei Xu (1995), ``Comparison on the Hopfield
scheme and the Hybrid Lagrange and Transformation Approaches for Solving
the Traveling Salesman Problem", Proc. of 1995 Intl IEEE Symposium
on Intelligence in Neural and Biological Systems, May 29-31,1995,
Washington DC, USA, IEEE Computer Society Press, pp209-218.
- Chuangyin Dang and Lei Xu
(2001), ``A Lagrange Multiplier and Hopfield-Type Barrier Function Method
for the Traveling Salesman Problem", Neural Computation, Vol. 14 ,
No. 2, pp303 - 324.
- Chuangyin Dang and Lei Xu
(2001), ``A globally convergent Lagrange and barrier function iterative
algorithm for the traveling salesman problem", Neural Networks,
Vol.14, No.2, pp217-230, 2001.
- Chuangyin Dang and Lei Xu
(2000), ``A barrier function method for the nonconvex quadratic
programming problem with box constraints", Journal of Global
Optimization, Vol.18, No.2, 2000, pp 165-188.