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).
  • SUN Ke and Lei Xu (2009).   "Bayesian Ying-Yang learning on orthogonal binary factor analysis".  Neural Network World vol.19 no.5, pp.611-624.
  • 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.
  • 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.