Independent component analysis, a new concept?
Signal Processing - Special issue on higher order statistics
High-order contrasts for independent component analysis
Neural Computation
Natural gradient learning for over- and under-complete bases in ICA
Neural Computation
Joint Approximate Diagonalization of Positive Definite Hermitian Matrices
SIAM Journal on Matrix Analysis and Applications
Estimating Overcomplete Independent Component Bases for Image Windows
Journal of Mathematical Imaging and Vision
Adaptive Blind Signal and Image Processing: Learning Algorithms and Applications
Adaptive Blind Signal and Image Processing: Learning Algorithms and Applications
A Variational Method for Learning Sparse and Overcomplete Representations
Neural Computation
Learning Overcomplete Representations
Neural Computation
Linear multilayer ICA generating hierarchical edge detectors
Neural Computation
Blind separation of independent sources for virtually any sourceprobability density function
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Blind separation of instantaneous mixtures of nonstationary sources
IEEE Transactions on Signal Processing
Fast and robust fixed-point algorithms for independent component analysis
IEEE Transactions on Neural Networks
Partial extraction of edge filters by cumulant-based ICA under highly overcomplete model
ICONIP'10 Proceedings of the 17th international conference on Neural information processing: models and applications - Volume Part II
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Overcomplete ICA is a method for solving blind source separation problems if the number of observed signals is less than that of source ones. In this paper, we propose an overcomplete ICA algorithm based on a simple contrast function which is defined as the sum of the covariances of the squares of signals over all the pairs. By applying non-orthogonal pair optimizations to the function, a simple ICA algorithm is derived. Theoretical analysis and numerical experiments suggest the validity of the proposed algorithm.