Representative Publications
Unsupervised
Learning
- Shikui TU and Lei Xu (2012),
“A theoretical investigation of several model selection criteria for
dimensionality reduction,” Pattern
Recognition Letters , Vol.33:pp1117-1126, 2012.
- Lei Xu (2012), "
On essential topics of BYY harmony learning: Current status, challenging
issues, and gene analysis applications", A special issue
on Machine learning and intelligence science: IScIDE (C), Journal of
Frontiers of Electrical and Electronic Engineering 7(1) (2012)
147–196.
- Lei Xu (2011), "Another
perspective of BYY harmony learning: representation in multiple layers,
co-decomposition of data covariance matrices, and applications to network
biology. A special issue on Machine learning and intelligence science:
IScIDE2010 (A), Journal of Frontiers of Electrical and Electronic
Engineering in China 6(1) (2011) 86–119.
- Lei
Xu (2010), "Bayesian
Ying-Yang system, best harmony learning, and five action circling", A
special issue on Emerging Themes on Information Theory and Bayesian
Approach, Journal of Frontiers of Electrical and Electronic Engineering in
China, 5(3):281–328, 2010.
- Lei Xu
(2008), “Independent Subspaces” in Encyclopedia of Artificial Intelligence, Edited By: Juan Ramón, Rabuñal Dopico;
Julian Dorado; Alejandro Pazos, IGI
Global (IGI) publishing
company, pp903-912.
- Lei Xu (2007), A unified perspective on advances of independent subspaces: basic,
temporal, and local structures, Proc.6th.Intel.Conf.Machine
Learning and Cybernetics, Hong Kong, 19-22 Aug.2007, 767-776.
- Lei Xu ,(2001) ``An
Overview on Unsupervised Learning from Data Mining Perspective", Advances
in Self-Organizing Maps, Nigel Allison, et al eds, Springer-Verlag,
pp181-210, 2001.
Least MSE
Reconstruction, PCA, MCA and Nonlinear Extensions
- Lei Xu,
(2003), ``Independent Component Analysis and Extensions with Noise and
Time: A Bayesian Ying-Yang Learning Perspective ", Neural
Information Processing - Letters and Reviews, Vol.1, No.1, pp1-52,
2003.
- Lei Xu(1998b),
``Bayesian Kullback Ying-Yang Dependence Reduction Theory ", Neurocomputing,
Vol.22, No.1-3, a special issue on Independence and artificial
neural networks , pp81-112, 1998.
- Lei Xu(1998c),
``Bayesian Ying-Yang Dimension Reduction and Determination", Journal
of Computational Intelligence in Finance, Vol.6, No.5, a special issue
on Complexity and Dimensionality Reduction in Finance . pp6-18,
1998.
- Lei Xu (1993),
"Least MSE Reconstruction: A Principle for Self-Organizing
Nets", Neural Networks, the Joint official Journal of
International Neural Network Society, European Neural Network Society and Japanese
Neural Network Society, Vol. 6, pp. 627-648, 1993.
- Its preliminary version was partially
given on "Least MSE Reconstruction for Self-Organization:
(I)&(II) ", Proc. of 1991 International Joint Conference on
Neural Networks, Singapore,
Nov., 1991, pp2363-2373.
- Lei Xu & A.L.
Yuille (1995), "Robust Principal Component Analysis by
Self-Organizing Rules Based on Statistical Physics Approach", IEEE
Trans. on Neural Networks, regular paper, Vol.6, No.1, Jan, 1995,
pp131-143.
- Its preliminary version was partially
given on Proc. of 1992 IEEE-INNS Intl. Joint Conf. on Neural Networks
(IJCNN92), June 7-11, 1992, Baltimore,
MA, Vol. I, pp.812-817.
- Lei Xu, E.Oja &
C.Y.Suen, (1992), `` Modified Hebbian Learning for Curve and Surface
Fitting ", Neural Networks, the Joint official Journal of
International Neural Network Society, European Neural Network Society and
Japanese Neural Network Society, Vol.5, 1992, pp441-457.
- Lei Xu, A. Krzyzak
and E.Oja, (1991), `` A Neural Net for Dual Subspace Pattern Recognition
Methods", International Journal of Neural Systems, Vol.2,
No.3, 1991, pp169-184.
- Bailing Zhang, Lei Xu
and Minyue Fu (1996), ``Learning Multiple Causes by Competition Enhanced
Least Mean Square Error Reconstruction", International Journal of
Neural Systems, Vol.7, No.3, pp223-236.
- Lei Xu
(1995), `` Vector Quantization by Local and Hierarchical LMSER", Proc.
of 1995 Intl Conf. on Artificial Neural Networks, Paris, France,
Oct.9-13, 1995, Vol.II, 575-579.
- Lei Xu(1994),
`` Beyond PCA Learnings: From Linear to Nonlinear and From Global
Representation to Local Representation ", Proceedings of
International Conference on Neural Information Processing, Invited
Paper, Oct 17-20, Seuol,
Korea,
1994, pp943-949.
- Lei Xu
(1994), `` Theories for Unsupervised Learning: PCA and Its Nonlinear
Extensions", Proceedings of IEEE International Conference on
Neural Networks 1994, Invited Paper, June 26-July 2, Orlando,
Florida, Vol.II, pp1252-1257.
Competitive
Learning, Clustering analysis, and Object Detection
·
Lei Xu (2007), Rival
Penalized Competitive Learning, In
Scholarpedia, no. 19850, http://scholarpedia.org,
2007.
- Lei Xu (2007), `` A unified perspective and new results on RHT computing,
mixture based learning, and multi-learner based problem solving
", Pattern Recognition, (40) 2129–2153.
- Lei Xu (2002), ``BYY harmony
learning, structural RPCL, and topological self-organizing on mixture
models", Neural Networks, Vol. 15, pp1125-1151, 2002.
- Lei Xu (2001), ``Best Harmony,
Unified RPCL and Automated Model Selection for Unsupervised and Supervised
Learning on Gaussian Mixtures, ME-RBF Models and Three-Layer Nets ", International
Journal of Neural Systems, Vol.11, No.1, pp3-69, 2001.
- Lei Xu, A. Krzyzak
& E.Oja, (1993), "Rival Penalized Competitive Learning for
Clustering Analysis, RBF net and Curve Detection", IEEE Trans. on
Neural Networks, Vol.4, No.4, pp636-649, 1993, regular paper.
- Lei Xu (1998) ,
``Rival Penalized Competitive Learning, Finite Mixture, and Multisets
Clustering", Proc. Intentional Joint Conference on Neural Networks,
Vol., May 5-9, 1998,
Anchorage, Alaska.
- Lei Xu
(1995), `` A Unified Learning Framework: Multisets Modeling
Learning", Proceedings of World Congress On Neural Networks, Invited
Paper, July 17-21, 1995, Washington,
DC, Vol.I, pp35-42.
- Lei Xu
(1994), ``Multisets Modeling Learning: An Unified Theory for Supervised
and Unsupervised Learning", Proc. of 1994 IEEE International
Conference on Neural Networks (ICNN94), Invited Paper, June
26-July 2, 1994,, Orlando, Florida, Vol.I, pp.315-320.
- Lei Xu (1990), ``
Adding Learned Expectation into The Learning Procedure of Self-Organizing
Maps", International Journal of Neural Systems, Vol.1, No.3,
1990, pp269-283.
- Lei Xu, (2003), ``Data
smoothing regularization, multi-sets-learning, and problem solving
strategies", Neural Networks, Vol. 16, pp817¨C825, 2003.
- Shi L,
Wang P., Liu H., Lei Xu , and Bao
Z(2011), Radar HRRP Statistical Recognition With Local Factor Analysis by
Automatic Bayesian Ying-Yang Harmony Learning, IEEE Trans. Signal
Process., 2011, 59(2):610–617.
- Zhi-Yong
Liu, Hong Qiao, and Lei Xu,
(2006), `` Multisets mixture learning-based ellipse detection ", Pattern
Recognition 39, pp731-735, 2006.
- Zhi-Yong
Liu, Kai-Chun Chiu, and Lei Xu,
(2003), `` Strip Line Detection and Thinning by RPCL-Based Local
PCA", Pattern Recognition Letters 24, pp2335¨C2344, 2003.
- Zhi-Yong
Liu, Kai-Chun Chiu, and Lei Xu,
(2003), " Improved system for object detection and star/galaxy
classification via local subspace analysis ", Neural Networks,
Vol. 16, pp437¨C451, 2003.
- Zhi-Yong Liu
and Lei Xu, (2003)
``Topological Local Principal Component Analysis", Neurocomputing,
Vol. 55, No. 3-4, pp. 739-745, 2003.