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Independent component analysis, A new concept?
- P. Comon
- Computer ScienceSignal Process.
- 1 April 1994
Handbook of Blind Source Separation: Independent Component Analysis and Applications
This handbook provides the definitive reference on Blind Source Separation, giving a broad and comprehensive description of all the core principles and methods, numerical algorithms and major applications in the fields of telecommunications, biomedical engineering and audio, acoustic and speech processing.
Independent Component Analysis
- P. Comon
- Computer Science
- 5 June 1992
Symmetric Tensors and Symmetric Tensor Rank
- P. Comon, G. Golub, Lek-Heng Lim, B. Mourrain
- Mathematics, Computer ScienceSIAM J. Matrix Anal. Appl.
- 12 February 2008
The notion of the generic symmetric rank is discussed, which, due to the work of Alexander and Hirschowitz, is now known for any values of dimension and order.
Robust Independent Component Analysis by Iterative Maximization of the Kurtosis Contrast With Algebraic Optimal Step Size
RobustICA's capabilities in processing real-world data involving noncircular complex strongly super-Gaussian sources are illustrated by the biomedical problem of atrial activity (AA) extraction in atrial fibrillation (AF) electrocardiograms (ECGs), where it outperforms an alternative ICA-based technique.
Tensor decompositions, alternating least squares and other tales
This work was originally motivated by a classification of tensors proposed by Richard Harshman. In particular, we focus on simple and multiple ‘bottlenecks’, and on ‘swamps’. Existing theoretical…
Symmetric tensor decomposition
- Jérôme Brachat, P. Comon, B. Mourrain, E. Tsigaridas
- Computer Science, Mathematics17th European Signal Processing Conference
- 23 January 2009
We present an algorithm for decomposing a symmetric tensor of dimension n and order d as a sum of of rank-1 symmetric tensors, extending the algorithm of Sylvester devised in 1886 for symmetric…
Enhanced Line Search: A novel method to accelerate Parafac
- M. Rajih, P. Comon, R. Harshman
- Computer Science13th European Signal Processing Conference
- 1 September 2005
A novel method for speeding up the ALS algorithm that shows better results in simulations compared to the existing methods, especially in the case of degeneracy.
Tracking a few extreme singular values and vectors in signal processing
In various applications it is necessary to keep track of a low-rank approximation of a covariance matrix, R(t), slowly varying with time, and it is shown why this heavy computational burden is questionable in numerous situations and should be revised.
On the virtual array concept for higher order array processing
- P. Chevalier, L. Albera, A. Ferréol, P. Comon
- Computer ScienceIEEE Transactions on Signal Processing
- 1 April 2005
The purpose of this paper is to provide some important insights into the mechanisms and to both the resolution and the maximal processing capacity, of numerous 2qth order array processing methods by extending the Virtual Array concept to an arbitrary even order for several arrangements of the data statistics and for arrays with space, angular and/or polarization diversity.