A Unified Approach to PCA, PLS, MLR and CCA

This paper presents a novel algorithm for analysis of stochastic processes. The algorithm can be used to find the required solutions in the cases of principal component analysis (PCA), partial leas ...

[1]  H. Hotelling.  Relations Between Two Sets of Variates , 1936 .

[2]  K. W. Cattermole.  The Fourier Transform and its Applications , 1965 .

[3]  D. Stewart,et al.  A general canonical correlation index. , 1968, Psychological bulletin.

[4]  A. Izenman.  Reduced-rank regression for the multivariate linear model , 1975 .

[5]  R. D. Bock,et al.  Multivariate Statistical Methods in Behavioral Research , 1978 .

[6]  G. Stewart.  A BIBLIOGRAPHICAL TOUR OF THE LARGE, SPARSE GENERALIZED EIGENVALUE PROBLEM , 1976 .

[7]  A. L. V. D. Wollenberg.  Redundancy analysis an alternative for canonical correlation analysis , 1977 .

[8]  Gene H. Golub,et al.  Matrix computations , 1983 .

[9]  John E. Dennis,et al.  Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.

[10]  S. Wold,et al.  The Collinearity Problem in Linear Regression. The Partial Least Squares (PLS) Approach to Generalized Inverses , 1984 .

[11]  E. Oja,et al.  On stochastic approximation of the eigenvectors and eigenvalues of the expectation of a random matrix , 1985 .

[12]  B. Kowalski,et al.  Partial least-squares regression: a tutorial , 1986 .

[13]  A. Höskuldsson.  PLS regression methods , 1988 .

[14]  Jim Kay,et al.  Feature discovery under contextual supervision using mutual information , 1992, [Proceedings 1992] IJCNN International Joint Conference on Neural Networks.

[15]  T. Landelius.  Behavior Representation by Growing a Learning Tree , 1993 .

[16]  Hans Knutsson,et al.  Signal processing for computer vision , 1994 .

[17]  M. Borga.  Reinforcement Learning Using Local Adaptive Models , 1995 .

[18]  Terrence J. Sejnowski,et al.  An Information-Maximization Approach to Blind Separation and Blind Deconvolution , 1995, Neural Computation.

[19]  H. Knutsson,et al.  On-Line Singular Value Decomposition of Stochastic Process Covariances , 1995 .

[20]  Suzanna Becker,et al.  Mutual information maximization: models of cortical self-organization. , 1996, Network.

[21]  Simon Haykin,et al.  Neural networks expand SP's horizons , 1996, IEEE Signal Process. Mag..

[22]  H. Knutsson,et al.  Learning Canonical Correlations , 1997 .

[23]  Tomas Landelius,et al.  Reinforcement Learning and Distributed Local Model Synthesis , 1997 .