Jacobi Angles for Simultaneous Diagonalization

Authors:
Jean-Francois Cardoso;Antoine Souloumiac
Affiliations:
-;-
Venue:
SIAM Journal on Matrix Analysis and Applications
Year:
1996

Citing 0
Cited 79

Second Order Nonstationary Source Separation

Journal of VLSI Signal Processing Systems
Independent components of magnetoencephalography: localization

Neural Computation
Kernel-based nonlinear blind source separation

Neural Computation
Independent components of magnetoencephalography: localization

Exploratory analysis and data modeling in functional neuroimaging
Blind source separation via generalized eigenvalue decomposition

The Journal of Machine Learning Research
ICA using spacings estimates of entropy

The Journal of Machine Learning Research
Misep—linear and nonlinear ICA based on mutual information

The Journal of Machine Learning Research
Blind separation of post-nonlinear mixtures using linearizing transformations and temporal decorrelation

The Journal of Machine Learning Research
Independent Component Analysis by Using Joint Cumulants and its Application to Remote Sensing Images

Journal of VLSI Signal Processing Systems
A Fast Algorithm for Joint Diagonalization with Non-orthogonal Transformations and its Application to Blind Source Separation

The Journal of Machine Learning Research
Blind source separation via generalized eigenvalue decomposition

The Journal of Machine Learning Research
ICA using spacings estimates of entropy

The Journal of Machine Learning Research
MISEP - Linear and nonlinear ICA based on mutual information

The Journal of Machine Learning Research
Blind separation of post-nonlinear mixtures using linearizing transformations and temporal decorrelation

The Journal of Machine Learning Research
On the use of sparse signal decomposition in the analysis of multi-channel surface electromyograms

Signal Processing - Sparse approximations in signal and image processing
Analyzing gene expression profiles with ICA

BioMed'06 Proceedings of the 24th IASTED international conference on Biomedical engineering
What Is the Relation Between Slow Feature Analysis and Independent Component Analysis?

Neural Computation
A zero-cumulant random variable and its applications

Signal Processing - Special section: Distributed source coding
Distributed Jacobi joint diagonalization on clusters of personal computers

International Journal of Parallel Programming
Independent Slow Feature Analysis and Nonlinear Blind Source Separation

Neural Computation
Separation of instantaneous mixtures of cyclo-stationary sources

Signal Processing
Noise cancellation with static mixtures of a nonstationary signal and stationary noise

EURASIP Journal on Applied Signal Processing
Joint time-frequency-space classification of EEG in a brain-computer interface application

EURASIP Journal on Applied Signal Processing
Jitter-robust orthogonal Hermite pulses for ultra-wideband impulse radio communications

EURASIP Journal on Applied Signal Processing
Blind spectral unmixing by local maximization of non-Gaussianity

Signal Processing
Postfiltering using multichannel spectral estimation in multispeaker environments

EURASIP Journal on Advances in Signal Processing
Identification of motor unit discharge patterns in time-frequency plane

MCBC'06 Proceedings of the 7th WSEAS International Conference on Mathematics & Computers in Biology & Chemistry
A robust model for spatiotemporal dependencies

Neurocomputing
Review: A general framework for second-order blind separation of stationary colored sources

Signal Processing
A dynamic algorithm for blind separation of convolutive sound mixtures

Neurocomputing
Comparison of Two Main Approaches to Joint SVD

ICA '09 Proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation
A Cascade System for Solving Permutation and Gain Problems in Frequency-Domain BSS

ICA '09 Proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation
Least Square Joint Diagonalization of Matrices under an Intrinsic Scale Constraint

ICA '09 Proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation
Independent component analysis with application to behavior surveillance of large dams

ICS'08 Proceedings of the 12th WSEAS international conference on Systems
Blind separation of piecewise stationary non-Gaussian sources

Signal Processing
Blind identification of multiuser nonlinear channels using tensor decomposition and precoding

Signal Processing
Tumor clustering using nonnegative matrix factorization with gene selection

IEEE Transactions on Information Technology in Biomedicine - Special section on biomedical informatics
Fast approximate joint diagonalization incorporating weight matrices

IEEE Transactions on Signal Processing
Nonorthogonal joint diagonalization by combining givens and hyperbolic rotations

IEEE Transactions on Signal Processing
Improved MDS-based multi-target tracking algorithm

WCNC'09 Proceedings of the 2009 IEEE conference on Wireless Communications & Networking Conference
A Parallel Independent Component Implement Based on Learning Updating with Forms of Matrix Transformations

ICIC '07 Proceedings of the 3rd International Conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence
Heart and lung sound separation using periodic source extraction method

DSP'09 Proceedings of the 16th international conference on Digital Signal Processing
Blind source separation based on self-organizing neural network

Engineering Applications of Artificial Intelligence
Nonorthogonal approximate joint diagonalization with well-conditioned diagonalizers

IEEE Transactions on Neural Networks
Blind underdetermined mixture identification by joint canonical decomposition of HO cumulants

IEEE Transactions on Signal Processing
Letter: On the possible use of ICA to identify synaptic inputs from observations of several neurons

Neurocomputing
Letters: Optimal selection of time lags for TDSEP based on genetic algorithm

Neurocomputing
Separation of water artifacts in 2D NOESY protein spectra using congruent matrix pencils

Neurocomputing
Optimizing property codes in protein data reveals structural characteristics

ICANN/ICONIP'03 Proceedings of the 2003 joint international conference on Artificial neural networks and neural information processing
Householder transform based joint diagonal zero diagonalization for source separation using time-frequency distributions

Multidimensional Systems and Signal Processing
Pivot selection strategies in Jacobi joint block-diagonalization

ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
Channel estimation for O-STBC MISO systems using fourth-order cross-cumulants

ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
Joint diagonalization of kernels for information fusion

CIARP'07 Proceedings of the Congress on pattern recognition 12th Iberoamerican conference on Progress in pattern recognition, image analysis and applications
Convolutive blind speech separation by decorrelation

ICONIP'08 Proceedings of the 15th international conference on Advances in neuro-information processing - Volume Part I
Convolutive blind source separation by fourth-order statistics

ICICS'09 Proceedings of the 7th international conference on Information, communications and signal processing
Colored subspace analysis: dimension reduction based on a signal's autocorrelation structure

IEEE Transactions on Circuits and Systems Part I: Regular Papers
QML-based joint diagonalization of positive-definite hermitian matrices

IEEE Transactions on Signal Processing
Second order subspace analysis and simple decompositions

LVA/ICA'10 Proceedings of the 9th international conference on Latent variable analysis and signal separation
Second-order source separation based on prior knowledge realized in a graph model

LVA/ICA'10 Proceedings of the 9th international conference on Latent variable analysis and signal separation
Joint eigenvalue decomposition using polar matrix factorization

LVA/ICA'10 Proceedings of the 9th international conference on Latent variable analysis and signal separation
Spatially constrained ICA algorithm with an application in EEG processing

Signal Processing
Iterative methods for the canonical decomposition of multi-way arrays: Application to blind underdetermined mixture identification

Signal Processing
A robust spatio-temporal processing for multipath environments with an antenna array

SSIP'05 Proceedings of the 5th WSEAS international conference on Signal, speech and image processing
On Jacobi-type methods for blind equalization of paraunitary channels

Signal Processing
Functional MRI analysis by a novel spatiotemporal ICA algorithm

ICANN'05 Proceedings of the 15th international conference on Artificial Neural Networks: biological Inspirations - Volume Part I
Extended-aperture angle-range estimation of multipleFresnel-region sources with a linear tripole array using cumulants

Signal Processing
Second-Order separation of multidimensional sources with constrained mixing system

ICA'06 Proceedings of the 6th international conference on Independent Component Analysis and Blind Signal Separation
Towards an automatic procedure for modeling multivariate space-time data

Computers & Geosciences
Blind testing of quasi brain deaths based on analysis of EEG energy

ICIC'11 Proceedings of the 7th international conference on Intelligent Computing: bio-inspired computing and applications
Gabor noise by example

ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
An algebraic method for approximate rank one factorization of rank deficient matrices

LVA/ICA'12 Proceedings of the 10th international conference on Latent Variable Analysis and Signal Separation
Fast nonunitary joint block diagonalization with degenerate solution elimination for convolutive blind source separation

Digital Signal Processing
Blind channel estimation based on maximizing the eigenvalue spread of cumulant matrices in (2 × 1) Alamouti's coding schemes

Wireless Communications & Mobile Computing
Fast communication: A recursive solution to nonunitary joint diagonalization

Signal Processing
Optimal combination of fourth-order cumulant based contrasts for blind separation of noncircular signals

Signal Processing
Color-Constant information embedding

ECCV'10 Proceedings of the 11th European conference on Trends and Topics in Computer Vision - Volume Part II
A Novel Multiuser SISO-BOFDM Systems with Group Fractional Fourier Transforms Scheme

Wireless Personal Communications: An International Journal
Centrality and mode detection in dynamic contact graphs; a joint diagonalisation approach

Proceedings of the 2013 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining
Deflation-based separation of uncorrelated stationary time series

Journal of Multivariate Analysis

Quantified Score

Hi-index	0.01

Visualization

Abstract

Simultaneous diagonalization of several matrices can be implemented by a Jacobi-like technique. This note gives the required Jacobi angles in close form.