Generalized Independent Component Analysis as Density Estimation
WIRN VIETRI 2002 Proceedings of the 13th Italian Workshop on Neural Nets-Revised Papers
Applying Neural Networks and Genetic Algorithms to the Separation of Sources
IBERAMIA 2002 Proceedings of the 8th Ibero-American Conference on AI: Advances in Artificial Intelligence
A Functional-Neural Network for Post-Nonlinear Independent Component Analysis
IWANN '01 Proceedings of the 6th International Work-Conference on Artificial and Natural Neural Networks: Connectionist Models of Neurons, Learning Processes and Artificial Intelligence-Part I
Image denoising using self-organizing map-based nonlinear independent component analysis
Neural Networks - New developments in self-organizing maps
Kernel-based nonlinear blind source separation
Neural Computation
The Journal of Machine Learning Research
Three easy ways for separating nonlinear mixtures?
Signal Processing - Special issue on independent components analysis and beyond
A new concept for separability problems in blind source separation
Neural Computation
The Journal of Machine Learning Research
Blind image extraction from nonlinear mixtures using MLP-based ICA
ICME '03 Proceedings of the 2003 International Conference on Multimedia and Expo - Volume 2
Kernel Methods for Measuring Independence
The Journal of Machine Learning Research
Signal Processing - Special issue: Information theoretic signal processing
Signal Processing - Special issue: Information theoretic signal processing
An information theoretic approach to a novel nonlinear independent component analysis paradigm
Signal Processing - Special issue: Information theoretic signal processing
Some extensions of score matching
Computational Statistics & Data Analysis
Nonlinear underdetermined blind signal separation using Bayesian neural network approach
Digital Signal Processing
Independent Slow Feature Analysis and Nonlinear Blind Source Separation
Neural Computation
Nonlinear independent component analysis with minimal nonlinear distortion
Proceedings of the 24th international conference on Machine learning
Blind separation of nonlinear mixtures by variational Bayesian learning
Digital Signal Processing
MISEP Method for Postnonlinear Blind Source Separation
Neural Computation
gpICA: a novel nonlinear ICA algorithm using geometric linearization
EURASIP Journal on Applied Signal Processing
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks, Part III
Gaussianization Based Approach for Post-Nonlinear Underdetermined BSS with Delays
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks, Part III
Optimal approximation of signal priors
Neural Computation
ICA '09 Proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation
Ion-Selective Electrode Array Based on a Bayesian Nonlinear Source Separation Method
ICA '09 Proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation
High-Energy Particles Online Discriminators Based on Nonlinear Independent Components
ICA '09 Proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation
Maximum likelihood linear programming data fusion for speaker recognition
Speech Communication
Initialisation of Nonlinearities for PNL and Wiener systems Inversion
IWANN '03 Proceedings of the 7th International Work-Conference on Artificial and Natural Neural Networks: Part II: Artificial Neural Nets Problem Solving Methods
Evolutionary Algorithm Using Mutual Information for Independent Component Analysis
IWANN '03 Proceedings of the 7th International Work-Conference on Artificial and Natural Neural Networks: Part II: Artificial Neural Nets Problem Solving Methods
Blind separation of linear-quadratic mixtures of real sources using a recurrent structure
IWANN '03 Proceedings of the 7th International Work-Conference on Artificial and Natural Neural Networks: Part II: Artificial Neural Nets Problem Solving Methods
An Independent Component Analysis Evolution Based Method for Nonlinear Speech Processing
IWANN '03 Proceedings of the 7th International Work-Conference on Artificial and Natural Neural Networks: Part II: Artificial Neural Nets Problem Solving Methods
Generalizing Geometric ICA to Nonlinear Settings
IWANN '03 Proceedings of the 7th International Work-Conference on Artificial and Natural Neural Networks: Part II: Artificial Neural Nets Problem Solving Methods
An extension of MISEP for post-nonlinear-linear mixture separation
IEEE Transactions on Circuits and Systems II: Express Briefs
A post nonlinear geometric algorithm for independent component analysis
Digital Signal Processing
Unsupervised learning with stochastic gradient
Neurocomputing
Blind source separation of a class of nonlinear mixtures
ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
Using state space differential geometry for nonlinear blind source separation
ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
Post nonlinear independent subspace analysis
ICANN'07 Proceedings of the 17th international conference on Artificial neural networks
Performing nonlinear blind source separation with signal invariants
IEEE Transactions on Signal Processing
A reference suite design for blind signal separation
SSIP'05 Proceedings of the 5th WSEAS international conference on Signal, speech and image processing
Post-nonlinear blind source separation using neural networks with sandwiched structure
ISNN'05 Proceedings of the Second international conference on Advances in neural networks - Volume Part II
Extensions of ICA for causality discovery in the hong kong stock market
ICONIP'06 Proceedings of the 13th international conference on Neural information processing - Volume Part III
Extracting specific signal from post-nonlinear mixture based on maximum negentropy
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part II
Bayesian Source Separation of Linear and Linear-quadratic Mixtures Using Truncated Priors
Journal of Signal Processing Systems
Extracting post-nonlinear signal with reference
Computers and Electrical Engineering
Nonlinear adaptive blind source separation based on kernel function
ICNC'05 Proceedings of the First international conference on Advances in Natural Computation - Volume Part II
Post-nonlinear blind source separation using wavelet neural networks and particle swarm optimization
ICNC'05 Proceedings of the First international conference on Advances in Natural Computation - Volume Part II
ICONIP'06 Proceedings of the 13th international conference on Neural Information Processing - Volume Part II
A recurrent ICA approach to a novel BSS convolutive nonlinear problem
WIRN'05 Proceedings of the 16th Italian conference on Neural Nets
Separation theorem for independent subspace analysis and its consequences
Pattern Recognition
ICA'06 Proceedings of the 6th international conference on Independent Component Analysis and Blind Signal Separation
Nonlinear blind source separation using hybrid neural networks
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
ICNC'05 Proceedings of the First international conference on Advances in Natural Computation - Volume Part III
IWANN'05 Proceedings of the 8th international conference on Artificial Neural Networks: computational Intelligence and Bioinspired Systems
Multichannel blind signal separation in semiconductor-based GAS sensor arrays
IWANN'05 Proceedings of the 8th international conference on Artificial Neural Networks: computational Intelligence and Bioinspired Systems
Nonlinear blind source separation applied to a simple bijective model
ICISP'12 Proceedings of the 5th international conference on Image and Signal Processing
| Hi-index | 35.69 |
We address the problem of separation of mutually independent sources in nonlinear mixtures. First, we propose theoretical results and prove that in the general case, it is not possible to separate the sources without nonlinear distortion. Therefore, we focus our work on specific nonlinear mixtures known as post-nonlinear mixtures. These mixtures constituted by a linear instantaneous mixture (linear memoryless channel) followed by an unknown and invertible memoryless nonlinear distortion, are realistic models in many situations and emphasize interesting properties i.e., in such nonlinear mixtures, sources can be estimated with the same indeterminacies as in instantaneous linear mixtures. The separation structure of nonlinear mixtures is a two-stage system, namely, a nonlinear stage followed by a linear stage, the parameters of which are updated to minimize an output independence criterion expressed as a mutual information criterion. The minimization of this criterion requires knowledge or estimation of source densities or of their log-derivatives. A first algorithm based on a Gram-Charlier expansion of densities is proposed. Unfortunately, it fails for hard nonlinear mixtures. A second algorithm based on an adaptive estimation of the log-derivative of densities leads to very good performance, even with hard nonlinearities. Experiments are proposed to illustrate these results