Modified Hebbian learning for curve and surface fitting
Neural Networks
Independent component analysis, a new concept?
Signal Processing - Special issue on higher order statistics
Independent component analysis by general nonlinear Hebbian-like learning rules
Signal Processing - Special issue on neural networks
Natural gradient works efficiently in learning
Neural Computation
The Geometry of Algorithms with Orthogonality Constraints
SIAM Journal on Matrix Analysis and Applications
Natural gradient learning for over- and under-complete bases in ICA
Neural Computation
Neural Networks for Optimization and Signal Processing
Neural Networks for Optimization and Signal Processing
Application of the MEC Network to Principal Component Analysis and Source Separation
ICANN '97 Proceedings of the 7th International Conference on Artificial Neural Networks
Neural Network Based Processing for Smart Sensors Arrays
ICANN '97 Proceedings of the 7th International Conference on Artificial Neural Networks
Discriminant Pattern Recognition Using Transformation-Invariant Neurons
Neural Computation
Tracking directions-of-arrival with invariant subspace updating
ICASSP '96 Proceedings of the Acoustics, Speech, and Signal Processing, 1996. on Conference Proceedings., 1996 IEEE International Conference - Volume 05
Sparse basis selection, ICA, and majorization: towards a unified perspective
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 02
Projection approximation subspace tracking
IEEE Transactions on Signal Processing
Equivariant adaptive source separation
IEEE Transactions on Signal Processing
Complex-Weighted One-Unit ‘Rigid-Bodies’ Learning Rule for Independent Component Analysis
Neural Processing Letters
Optimal Linear Representations of Images for Object Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Blind separation of positive sources by globally convergent gradient search
Neural Computation
Neural learning by geometric integration of reduced 'rigid-body' equations
Journal of Computational and Applied Mathematics
Neural Networks - 2003 Special issue: Neural network analysis of complex scientific data: Astronomy and geosciences
Nonlinear Complex-Valued Extensions of Hebbian Learning: An Essay
Neural Computation
Fixed-point neural independent component analysis algorithms on the orthogonal group
Future Generation Computer Systems
Journal of VLSI Signal Processing Systems
Neural Information Processing
Lie-group-type neural system learning by manifold retractions
Neural Networks
Descent methods for optimization on homogeneous manifolds
Mathematics and Computers in Simulation
Fixed-point neural independent component analysis algorithms on the orthogonal group
Future Generation Computer Systems
An algorithm to compute averages on matrix Lie groups
IEEE Transactions on Signal Processing
Tools for application-driven linear dimension reduction
Neurocomputing
Complex independent component analysis by entropy bound minimization
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Independent component analysis by entropy bound minimization
IEEE Transactions on Signal Processing
MUSP'06 Proceedings of the 6th WSEAS international conference on Multimedia systems & signal processing
A closed-form solution to the problem of averaging over the lie group of special orthogonal matrices
ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part I
Monotonic convergence of a nonnegative ICA algorithm on stiefel manifold
ICONIP'06 Proceedings of the 13 international conference on Neural Information Processing - Volume Part I
Recognition of two-dimensional representation of urban environment for autonomous flying agents
Expert Systems with Applications: An International Journal
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Recently we introduced the concept of neural network learning on Stiefel-Grassman manifold for multilayer perceptron-like networks. Contributions of other authors have also appeared in the scientific literature about this topic. This article presents a general theory for it and illustrates how existing theories may be explained within the general framework proposed here.