Maximum Non-Gaussianity Estimation Revisit: Uniqueness Analysis from the Perspective of Constrained Cost Function Optimization

In independent component analysis (ICA) and its diverse algorithms, uniqueness is the most essential requirement and rationality problem compared with performances of existence, stability and conve...

[1]  Peter J Lesniewski,et al.  Performance limits of ICA-based heart rate identification techniques in imaging photoplethysmography , 2015, Physiological measurement.

[2]  Lei Xu,et al.  Some global and local convergence analysis on the information-theoretic independent component analysis approach , 2000, Neurocomputing.

[3]  Kenli Li,et al.  Scheduling Precedence Constrained Stochastic Tasks on Heterogeneous Cluster Systems , 2015, IEEE Transactions on Computers.

[4]  Lei Xu,et al.  One-Bit-Matching Theorem for ICA, Convex-Concave Programming on Polyhedral Set, and Distribution Approximation for Combinatorics , 2007, Neural Computation.

[5]  Klaus Nordhausen,et al.  Deflation-Based FastICA With Adaptive Choices of Nonlinearities , 2014, IEEE Transactions on Signal Processing.

[6]  Hao Shen,et al.  Local Convergence Analysis of FastICA and Related Algorithms , 2008, IEEE Transactions on Neural Networks.

[7]  Pierre Comon,et al.  Independent component analysis, A new concept? , 1994, Signal Process..

[8]  Nathalie Delfosse,et al.  Adaptive blind separation of independent sources: A deflation approach , 1995, Signal Process..

[9]  Terrence J. Sejnowski,et al.  Independent Component Analysis Using an Extended Infomax Algorithm for Mixed Subgaussian and Supergaussian Sources , 1999, Neural Computation.

[10]  Kenli Li,et al.  Maximizing reliability with energy conservation for parallel task scheduling in a heterogeneous cluster , 2015, Inf. Sci..

[11]  Tianwen Wei,et al.  FastICA Algorithm: Five Criteria for the Optimal Choice of the Nonlinearity Function , 2013, IEEE Transactions on Signal Processing.

[12]  Liping Li,et al.  On extending the complex FastICA algorithms to noisy data , 2014, Neural Networks.

[13]  Erkki Oja,et al.  The FastICA Algorithm Revisited: Convergence Analysis , 2006, IEEE Transactions on Neural Networks.

[14]  Andrzej Cichocki,et al.  Stability Analysis of Learning Algorithms for Blind Source Separation , 1997, Neural Networks.

[15]  Aapo Hyvärinen,et al.  Fast and robust fixed-point algorithms for independent component analysis , 1999, IEEE Trans. Neural Networks.

[16]  Zhang Yi,et al.  Convergence Analysis of a Class of HyvÄrinen–Oja's ICA Learning Algorithms With Constant Learning Rates , 2009, IEEE Transactions on Signal Processing.

[17]  Lei Xu,et al.  One-Bit-Matching Conjecture for Independent Component Analysis , 2004, Neural Computation.

[18]  Motoaki Kawanabe,et al.  Uniqueness of Non-Gaussianity-Based Dimension Reduction , 2011, IEEE Transactions on Signal Processing.

[19]  Jimin Ye,et al.  On the convergence of ICA algorithms with weighted orthogonal constraint , 2014, Digit. Signal Process..

[20]  Visa Koivunen,et al.  Identifiability, separability, and uniqueness of linear ICA models , 2004, IEEE Signal Processing Letters.

[21]  Jinwen Ma,et al.  A Further Result on the ICA One-Bit-Matching Conjecture , 2005, Neural Computation.