High-order contrasts for independent component analysis
Neural Computation
An introduction to variational methods for graphical models
Learning in graphical models
Neural Computation
Penalty/Barrier Multiplier Methods for Convex Programming Problems
SIAM Journal on Optimization
Learning Overcomplete Representations
Neural Computation
Fast and robust fixed-point algorithms for independent component analysis
IEEE Transactions on Neural Networks
The Problem of Sparse Image Coding
Journal of Mathematical Imaging and Vision
Independent components of magnetoencephalography: localization
Neural Computation
Dictionary learning algorithms for sparse representation
Neural Computation
Independent multiresolution component analysis and matching pursuit
Computational Statistics & Data Analysis - Special issue: Computational econometrics
Independent components of magnetoencephalography: localization
Exploratory analysis and data modeling in functional neuroimaging
A multiscale framework for blind separation of linearly mixed signals
The Journal of Machine Learning Research
A maximum likelihood approach to single-channel source separation
The Journal of Machine Learning Research
Natural Computing: an international journal
Analysis of sparse representation and blind source separation
Neural Computation
Blind source separation using block-coordinate relative Newton method
Signal Processing
A multiscale framework for blind separation of linearly mixed signals
The Journal of Machine Learning Research
A maximum likelihood approach to single-channel source separation
The Journal of Machine Learning Research
A Variational Method for Learning Sparse and Overcomplete Representations
Neural Computation
Blind source separation of more sources than mixtures using sparse mixture models
Pattern Recognition Letters
Sparse audio representations using the MCLT
Signal Processing - Sparse approximations in signal and image processing
A simple test to check the optimality of a sparse signal approximation
Signal Processing - Sparse approximations in signal and image processing
On the use of sparse signal decomposition in the analysis of multi-channel surface electromyograms
Signal Processing - Sparse approximations in signal and image processing
Signal reconstruction in sensor arrays using sparse representations
Signal Processing - Sparse approximations in signal and image processing
Audio source separation with a signal-adaptive local cosine transform
Signal Processing
Blind component separation in wavelet space: application to CMB analysis
EURASIP Journal on Applied Signal Processing
Separating more sources than sensors using time-frequency distributions
EURASIP Journal on Applied Signal Processing
Robust sparse component analysis based on a generalized Hough transform
EURASIP Journal on Applied Signal Processing
A bilinear algorithm for sparse representations
Computational Optimization and Applications
Blind separation of convolutive image mixtures
Neurocomputing
Computational Intelligence and Security
An Efficient K-Hyperplane Clustering Algorithm and Its Application to Sparse Component Analysis
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Part II--Advances in Neural Networks
Underdetermined Blind Source Separation Using SVM
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks, Part III
A Two-Step Blind Extraction Algorithm of Underdetermined Speech Mixtures
ISNN '08 Proceedings of the 5th international symposium on Neural Networks: Advances in Neural Networks, Part II
A fixed-point algorithm for blind source separation with nonlinear autocorrelation
Journal of Computational and Applied Mathematics
Morphological Diversity and Sparsity for Multichannel Data Restoration
Journal of Mathematical Imaging and Vision
K-hyperline clustering learning for sparse component analysis
Signal Processing
ICA '09 Proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation
ICA '09 Proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation
Fast nonlinear autocorrelation algorithm for source separation
Pattern Recognition
Reconstructing Data Perturbed by Random Projections When the Mixing Matrix Is Known
ECML PKDD '09 Proceedings of the European Conference on Machine Learning and Knowledge Discovery in Databases: Part II
A fast approach for overcomplete sparse decomposition based on smoothed l0 norm
IEEE Transactions on Signal Processing
Underdetermined blind source separation based on subspace representation
IEEE Transactions on Signal Processing
Blind source separation using mixtures scatter plot properties
DSP'09 Proceedings of the 16th international conference on Digital Signal Processing
An iterative Bayesian algorithm for sparse component analysis in presence of noise
IEEE Transactions on Signal Processing
Online Learning for Matrix Factorization and Sparse Coding
The Journal of Machine Learning Research
A new approach to underdetermined blind source separation using sparse representation
RSKT'07 Proceedings of the 2nd international conference on Rough sets and knowledge technology
Double sparsity: learning sparse dictionaries for sparse signal approximation
IEEE Transactions on Signal Processing
Compressed sensing and source separation
ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
Morphological diversity and sparsity in blind source separation
ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
Identifiability conditions and subspace clustering in sparse BSS
ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
Probabilistic geometric approach to blind separation of time-varying mixtures
ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
Fast sparse representation based on smoothed lo norm
ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
Sparse component analysis in presence of noise using an iterative EM-MAP algorithm
ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
Role of homeostasis in learning sparse representations
Neural Computation
Sparsity and morphological diversity for hyperspectral data analysis
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Learning sparse representation using iterative subspace identification
IEEE Transactions on Signal Processing
Dictionary identification: sparse matrix-factorization via l1-minimization
IEEE Transactions on Information Theory
Two conditions for equivalence of 0-norm solution and 1-norm solution in sparse representation
IEEE Transactions on Neural Networks
A watermarking-based method for informed source separation of audio signals with a single sensor
IEEE Transactions on Audio, Speech, and Language Processing
Independent component analysis of time/position varying mixtures
LVA/ICA'10 Proceedings of the 9th international conference on Latent variable analysis and signal separation
Learning the Morphological Diversity
SIAM Journal on Imaging Sciences
FIR convolutive BSS based on sparse representation
ISNN'05 Proceedings of the Second international conference on Advances in neural networks - Volume Part II
Efficient separation of convolutive image mixtures
ICA'06 Proceedings of the 6th international conference on Independent Component Analysis and Blind Signal Separation
Under-Determined source separation: comparison of two approaches based on sparse decompositions
ICA'06 Proceedings of the 6th international conference on Independent Component Analysis and Blind Signal Separation
Sparse deflations in blind signal separation
ICA'06 Proceedings of the 6th international conference on Independent Component Analysis and Blind Signal Separation
Analysis of source sparsity and recoverability for SCA based blind source separation
ICA'06 Proceedings of the 6th international conference on Independent Component Analysis and Blind Signal Separation
Identification of mixing matrix in blind source separation
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
Restoration of X-ray fluorescence images of hidden paintings
Signal Processing
Mixing matrix estimation using discriminative clustering for blind source separation
Digital Signal Processing
Exact recovery of sparsely-used dictionaries
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Structured Sparsity Models for Reverberant Speech Separation
IEEE/ACM Transactions on Audio, Speech and Language Processing (TASLP)
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The blind source separation problem is to extract the underlying source signals from a set of linear mixtures, where the mixing matrix is unknown. This situation is common in acoustics, radio, medical signal and image processing, hyperspectral imaging, and other areas. We suggest a two-stage separation process: a priori selection of a possibly overcomplete signal dictionary (for instance, a wavelet frame or a learned dictionary) in which the sources are assumed to be sparsely representable, followed by unmixing the sources by exploiting the their sparse representability. We consider the general case of more sources than mixtures, but also derive a more efficient algorithm in the case of a nonovercomplete dictionary and an equal numbers of sources and mixtures. Experiments with artificial signals and musical sounds demonstrate significantly better separation than other known techniques.