On the Risk of Using Rényi’s Entropy for Blind Source Separation (2009)
Dinh-tuan Pham, Frédéric Vrins, Graduate Student Member, Michel Verleysen, Senior Member
Abstract—Recently, some researchers have suggested Rényi’s entropy in its general form as a blind source separation (BSS) objective function. This was motivated by two arguments: 1) Shannon’s...
Dinh-tuan Pham, Frédéric Vrins
of the minimum range approach to blind separation of bounded sources
A Minimum-Range Approach to Blind Extraction of Bounded Sources (2008)
Frédéric Vrins, Student Member, John A. Lee, Michel Verleysen, Senior Member
Abstract—In spite of the numerous approaches that have been derived for solving the independent component analysis (ICA) problem, it is still interesting to develop new methods when, among other...
Zero-entropy minimization for blind extraction of bounded sources (BEBS (2008)
Frédéric Vrins, Deniz Erdogmus, Christian Jutten, Michel Verleysen
Abstract. Renyi’s entropy can be used as a cost function for blind source separation (BSS). Previous works have emphasized the advantage of setting Renyi’s exponent to a value different from one...
Mixing and Non-Mixing Local Minima of the Entropy Contrast for Blind Source Separation (2008)
Frédéric Vrins, Student Member, Dinh-tuan Pham, Michel Verleysen, Senior Member
Abstract—In this paper, both non-mixing and mixing local minima of the entropy are analyzed from the viewpoint of blind source separation (BSS); they correspond respectively to acceptable and...
ICP12 A Least Absolute Bound Approach to ICA - Application to the MLSP 2006 competition (2008)
John A. Lee, Frédéric Vrins, Michel Verleysen
This paper describes a least absolute bound approach as a way to solve the ICA problems proposed in the 2006 MSLP competition. The least absolute bound is an ICA contrast closely related to the...
Entropy Minima and Distribution Structural (2008)
Modifications In Blind, Frédéric Vrins, Cédric Archambeau, Michel Verleysen
The source separation problem is usually solved through a gradient descent on a cost function C . However, C may have local minima that are irrelevant from the source separation point of view in...
Is the general form of Renyi’s entropy a contrast for source separation (2007)
Frédéric Vrins, Dinh-tuan Pham, Michel Verleysen
Abstract. Renyi’s entropy-based criterion has been proposed as an objective function for independent component analysis because of its relationship with Shannon’s entropy and its computational...
Non-orthogonal support width ica (2006)
John A. Lee, Frédéric Vrins, Michel Verleysen
Abstract. Independent Component Analysis (ICA) is a powerful tool with applications in many areas of blind signal processing; however, its key assumption, i.e. the statistical independence of the...
Minimum support ICA using order statistics. Part I: Quasi-range based support estimation (2006)
Frédéric Vrins, Michel Verleysen
Abstract. Linear instantaneous independent component analysis (ICA) is a well-known problem, for which efficient algorithms like FastICA and JADE have been developed. Nevertheless, the development of...
Minimum support ICA using order statistics. Part I: Quasi-range based support estimation (2006)
Frédéric Vrins, Michel Verleysen
Abstract. The minimum support ICA algorithms currently use the extreme statistics difference (also called the statistical range) for support width estimation. In this paper, we extend this method by...
Non-orthogonal support width ica (2006)
John A. Lee, Frédéric Vrins, Michel Verleysen
Abstract. Independent Component Analysis (ICA) is a powerful tool with applications in many areas of blind signal processing; however, its key assumption, i.e. the statistical independence of the...
Discriminacy of the minimum range approach to blind separation of bounded sources (2006)
Dinh-tuan Pham, Frédéric Vrins
Abstract. The Blind Source Separation (BSS) problem is often solved by maximizing objective functions reflecting the statistical dependency between outputs. Since global maximization may be difficult...
Discriminacy of the minimum range approach to blind separation of bounded sources (2006)
Dinh-tuan Pham, Frédéric Vrins
blind separation of bounded sources
SWM : a Class of Convex Contrasts for Source Separation (2005)
Frédéric Vrins, Michel Verleysen, Place Du Levant
We derive a class of contrasts for blind source separation (BSS) to separate bounded sources (or more generally, finite sources), based on support width measures (SWM) of the marginal output...
Filtering-free Blind Separation of Correlated Images (2005)
Frédéric Vrins, John A. Lee, Michel Verleysen
Abstract. When using ICA for image separation, a well-known problem is that most often a large correlation exists between the sources. Because of this dependence, there is no more guarantee that the...
M.: Towards a local separation performances estimator using common ica contrast functions (2004)
Frédéric Vrins, Cédric Archambeau, Michel Verleysen
Abstract. In most ICA algorithms, the separation performances are estimated through the evaluation of a contrast function Φ, used in the update rule of elements of the unmixing matrix. In particular...
M.: Towards a local separation performances estimator using common ica contrast functions (2004)
Frédéric Vrins, Cédric Archambeau, Michel Verleysen
Abstract. In most ICA algorithms, the separation performances are estimated through the evaluation of a contrast function Φ, used in the update rule of elements of the unmixing matrix. In particular...