• Publications
  • Influence
Independent component analysis, A new concept?
  • P. Comon
  • Mathematics, Computer Science
  • Signal Process.
  • 1 April 1994
TLDR
An efficient algorithm is proposed, which allows the computation of the ICA of a data matrix within a polynomial time and may actually be seen as an extension of the principal component analysis (PCA). Expand
Handbook of Blind Source Separation: Independent Component Analysis and Applications
TLDR
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. Expand
Independent Component Analysis
The Independent Component Analysis (ICA) of a random vector consists of searching for the linear transformation that minimizes the statistical dependence between its components. In order to design aExpand
Symmetric Tensors and Symmetric Tensor Rank
TLDR
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. Expand
Robust Independent Component Analysis by Iterative Maximization of the Kurtosis Contrast With Algebraic Optimal Step Size
  • V. Zarzoso, P. Comon
  • Mathematics, Computer Science
  • IEEE Transactions on Neural Networks
  • 1 February 2010
TLDR
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. Expand
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 theoreticalExpand
On the virtual array concept for higher order array processing
TLDR
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. Expand
Enhanced Line Search: A novel method to accelerate Parafac
TLDR
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. Expand
Symmetric tensor decomposition
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 symmetricExpand
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