Representative Publications
Independent component analysis
and independent factor
Analysis
- 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), `` 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 (2005), ``Fundamentals, Challenges, and
Advances of Statistical Learning for Knowledge Discovery and Problem
Solving: A BYY Harmony Perspective", Proceedings of International
Conference on Neural Networks and Brain, Keynote talk, Vol. 1, pp.
24-55, Oct. 13-15,Beijing, China, 2005.
- Lei Xu (2004), ``Temporal BYY Encoding, Markovian State Spaces, and Space Dimension
Determination", IEEE Trans on Neural Networks, Vol. 15, No. 5,
pp1276-1295, 2004.
- Lei Xu
(2004), ``Advances on BYY Harmony Learning: Information Theoretic
Perspective, Generalized Projection Geometry, and Independent Factor
Auto-determination", IEEE Trans on Neural Networks, Vol. 15,
No. 4, pp885-902, 2004.
- 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
(2001a), ``BYY Harmony Learning, Independent State Space and
Generalized APT Financial Analyses", IEEE Trans. on Neural
Networks, Vol. 12, No.4, pp822-849, July, 2001. An Errata
to this paper is given on IEEE Trans. on Neural Networks, Vol. 13,
No.4, 1023, July, 2002.
- Lei Xu,
C.C. Cheung, and S.-I. Amari (1998), `` Learned
Parametric Mixture Based ICA Algorithm ", Neurocomputing,
Vol.22, No.1-3, pp69-80, 1998.
- Lei Xu, C.C. Cheung, and S.-I. Amari
(1998), `` ``Further Results on Nonlinearity and Separation Capability of
A Linear Mixture ICA Method and Learned Parametric Mixture
Algorithm", Learned Parametric Mixture Based ICA Algorithm ", Proc.
of International ICSC Workshop on Independence and Artificial Neural
Networks (I\&ANN'98), Feb. 9-10, 1998, Tenerife, Spain, pp39-44.
- Lei Xu, C.C. Cheung, H.H. Yang and S.-I. Amari(1997), `` Independent component analysis by the
information-theoretic approach with Mixture of Density ", Proc. of
1997 IEEE Intl. Conf on Neural Networks (IEEE-INNS IJCNN97)}, June
9-12, Houston, TX, USA,
Vol. III, pp1821-1826(1997).
- Lei Xu, C.C. Cheung, J. Ruan,
and S.-I. Amari(1997), ``Nonlinearity and
Separation Capability: Further Justification for the ICA Algorithm with A
Learned Mixture of Parametric Densities", Invited special session on
Blind Signal Separation, Proc. of 1997 European Symp.
on Artificial Neural Networks, Bruges, April 16-18,
pp291-296(1997).
·
An, Y.J., Hu, X.L., and Lei
Xu (2006), ``A Comparative Investigation
on Model Selection in Independent Factor Analysis" Journal of Mathematical
Modeling and Algorithms 5,
pp.447–473.
- Zhi Yong Liu, Kai Chun Chiu, and Lei Xu,
(2004) ``Investigation on Non-Gaussian Factor Analysis", IEEE
Signal Processing Letters, Vol. 11, No.7, pp597-600, 2004.
- Zhi Yong Liu, Kai Chun Chiu, and Lei Xu,
(2004) ``One-Bit-Matching Conjecture for Independent Component
Analysis", Neural Computation, Vol. 16, No. 2, pp. 383-399.
- Jinwen Ma , Zhi Yong Liu, and Lei Xu,
(2005), `` A Further Result on the ICA One-Bit-Matching Conjecture", Neural
Computation, Vol. 17, No. 2, 2005, pp331-334.
- Yiu-ming Cheung and Lei Xu
(2003), `` Further studies on temporal factor analysis: comparison and
Kalman Filter-based algorithm ", Neurocomputing, Vol. 50, 2003, 87-103.
- C.C.Cheung and Lei Xu,
(2000), `` Some Global and Local Convergence Analysis on The
Information-Theoretic Independent Component Analysis Approach ", Neurocomputing, Vol.30, pp79-102, 2000.
- Yiu-ming Cheung and Lei Xu
(2001), ``Independent Component Ordering in ICA Time Series
Analysis'', Neurocomputing, Vol. 41,
No. 1-4, pp145-152, 2001.
- Yiu-ming Cheung and Lei Xu
(2003), `` Dual Multivariate Auto-Regressive Modeling in State Space
for Temporal Signal Separation", IEEE Transactions on Systems,
Man, and Cybernetics-Part B: Cybernetics, Volume: 33, No. 3, June
2003, pp386- 398.