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...
Least-Squares Joint Diagonalization of a matrix set by a congruence transformation (2009)
Congedo, Marco, Pham, Dinh-Tuan
The approximate joint diagonalization (AJD) is an important analytic tool at the base of numerous independent component analysis (ICA) and other blind source separation (BSS) methods, thus finding...
Least square joint diagonalization of matrices under an intrinsic scale constraint (2009)
Pham, Dinh-Tuan, Congedo, Marco
We present a new algorithm for approximate joint diagonal ization of several symmetric matrices. While it is based on the classical least squares criterion, a novel intrinsic scale constraint leads...
Least square joint diagonalization of matrices under an intrinsic scale constraint (2009)
Pham, Dinh-Tuan, Congedo, Marco
We present a new algorithm for approximate joint diagonal ization of several symmetric matrices. While it is based on the classical least squares criterion, a novel intrinsic scale constraint leads...
Least-Squares Joint Diagonalization of a matrix set by a congruence transformation (2009)
Congedo, Marco, Pham, Dinh-Tuan
The approximate joint diagonalization (AJD) is an important analytic tool at the base of numerous independent component analysis (ICA) and other blind source separation (BSS) methods, thus finding...
Least-Squares Joint Diagonalization of a matrix set by a congruence transformation (2009)
Congedo, Marco, Pham, Dinh-Tuan
The approximate joint diagonalization (AJD) is an important analytic tool at the base of numerous independent component analysis (ICA) and other blind source separation (BSS) methods, thus finding...
Dinh-tuan Pham, Frédéric Vrins
of the minimum range approach to blind separation of bounded sources
Initialisation of Nonlinearities for PNL and Wiener systems Inversion (2008)
Jordi Sole-casals, Christian Jutten, Dinh-tuan Pham
Abstract. This paper proposes a very fast method for blindly initializing a nonlinear mapping which transforms a sum of random variables. The method provides a surprisingly good approximation even...
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...
Narozny, Michel, Barret, Michel, Pham, Dinh-Tuan
The Karhunen–Loève Transform (KLT) is optimal for transform coding of Gaussian sources, however, it is not optimal, in general, for non-Gaussian sources. Furthermore, under the high-resolution...
Narozny, Michel, Barret, Michel, Pham, Dinh-Tuan
The KarhunenLoève Transform (KLT) is optimal for transform coding of Gaussian sources, however, it is not optimal, in general, for non-Gaussian sources. Furthermore, under the high-resolution...
Rivet, Bertrand, Girin, Laurent, Servière, Christine, Pham, Dinh-Tuan, Jutten, Christian
Audio-visual speech source separation consists in mixing visual speech processing techniques (e.g. lip parameters tracking) with source separation methods to improve and/or simplify the extraction of...
Rivet, Bertrand, Girin, Laurent, Servière, Christine, Pham, Dinh-Tuan, Jutten, Christian
Audio-visual speech source separation consists in mixing visual speech processing techniques (e.g. lip parameters tracking) with source separation methods to improve and/or simplify the extraction of...
AKAM BITA, Isidore Paul, BARRET, Michel, PHAM, Dinh-Tuan
Dans cet article nous proposons deux transformations linéaires optimales à faible distorsion pour la réduction de la redondance spectrale en utilisant le codeur EBCOT de JPEG2000, l'une étant...
Generalized mutual information approach to multichannel blind deconvolution (2007)
In this paper, we propose an approach to the multichannel blind deconvolution problem, based on the mutual information criterion and more generally on an appropriate system of estimating equations....
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...
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
Spurious Entropy Minima For Multimodal Source Separation (2005)
This paper presents two approaches for showing that spurious minima of the entropy may exist in the blind source separation context. The first one is based on the calculation of first and second...
Solé, Jordi, Jutten, Christian, Pham, Dinh-Tuan
This paper proposes a very fast method for blindly approximating a nonlinear mapping which transforms a sum of random variables. The estimation is surprisingly good even when the basic assumption is...
Criteria for blind source separation in post nonlinear mixtures with mutual information (2005)
Achard, Sophie, Pham, Dinh-Tuan, Jutten, Christian
This work deals with the problem of blind source separation solved by minimization of mutual information. After having chosen a model for the mixture, we focus on two methods. One is based on the...
Solé, Jordi, Jutten, Christian, Pham, Dinh-Tuan
This paper proposes a very fast method for blindly approximating a nonlinear mapping which transforms a sum of random variables. The estimation is surprisingly good even when the basic assumption is...
Criteria for blind source separation in post nonlinear mixtures with mutual information (2005)
Achard, Sophie, Pham, Dinh-Tuan, Jutten, Christian
This work deals with the problem of blind source separation solved by minimization of mutual information. After having chosen a model for the mixture, we focus on two methods. One is based on the...
Séparation de sources par l'indépendance et la parcimonie (2003)
CARDOSO, Jean-Francois, PHAM, Dinh-Tuan
Dans le problème de séparation de sources indépendantes, la prise en compte de la structure temporelle des sources permet d'utiliser des modèles gaussiens. On peut alors aisément optimiser une...
Fast Algorithms for Mutual Information Based Independent Component Analysis (2002)
This paper provides fast algorithms to perform independent component analysis based on the mutual information criterion. The main ingredient is the binning technique and the use of cardinal splines,...
Hoteit, Ibrahim, Pham, Dinh-Tuan
The reduced-order extended Kalman (ROEK) filter has been introduced by Cane et al.[3] as a means to reduce the cost of the extended Kalman (EK) filter. It essentially consists in projecting the...
Hoteit, Ibrahim, Pham, Dinh-Tuan
Brute-force implementation of the extended Kalman (EK) filter in realistic ocean models is not possible because of its prohibitive cost. Different degraded forms of the EK filter, which basically...
Hoteit, Ibrahim, Pham, Dinh-Tuan
The reduced-order extended Kalman (ROEK) filter has been introduced by Cane et al.[3] as a means to reduce the cost of the extended Kalman (EK) filter. It essentially consists in projecting the...
Hoteit, Ibrahim, Pham, Dinh-Tuan
Brute-force implementation of the extended Kalman (EK) filter in realistic ocean models is not possible because of its prohibitive cost. Different degraded forms of the EK filter, which basically...
Hoteit, Ibrahim, Pham, Dinh-Tuan
The reduced-order extended Kalman (ROEK) filter has been introduced by Cane et al.[3] as a means to reduce the cost of the extended Kalman (EK) filter. It essentially consists in projecting the...
Hoteit, Ibrahim, Pham, Dinh-Tuan
Brute-force implementation of the extended Kalman (EK) filter in realistic ocean models is not possible because of its prohibitive cost. Different degraded forms of the EK filter, which basically...
Blind Separation of Instantaneous Mixtures of Non Stationary Sources (2001)
Dinh-tuan Pham, Jean-Francois Cardoso
Most source separation algorithms are based on a model of stationary sources. However, it is a simple matter to take advantage of possible non-stationarities of the sources to achieve separation....
Hoteit, Ibrahim, Pham, Dinh-Tuan, Blum, Jacques
The singular evolutive extended Kalman (SEEK) filter has been proposed recently by \it Pham et al. \cite{seek} for data assimilation into numerical oceanic models. This filter has been applied in...
Hoteit, Ibrahim, Pham, Dinh-Tuan, Blum, Jacques
Several studies have demonstrated the effectiveness of the Singular Evolutive Extended Kalman (SEEK) filter and its interpolated variant called SEIK in their capacity to assimilate altimetric data...
4D-Var/SEEK : A Consistent Hybrid Variational-Smoothing Data Assimilation Method (2000)
Veersé, Fabrice, Pham, Dinh-Tuan, Verron, Jacques
A mixed variational-smoothing data assimilation method is derived under the perfect-model hypothesis. An incremental 4D-Var analysis scheme is supplemented with a low-rank approximation of its...
Hoteit, Ibrahim, Pham, Dinh-Tuan, Blum, Jacques
The singular evolutive extended Kalman (SEEK) filter has been proposed recently by \it Pham et al. \cite{seek} for data assimilation into numerical oceanic models. This filter has been applied in...
Hoteit, Ibrahim, Pham, Dinh-Tuan, Blum, Jacques
Several studies have demonstrated the effectiveness of the Singular Evolutive Extended Kalman (SEEK) filter and its interpolated variant called SEIK in their capacity to assimilate altimetric data...
4D-Var/SEEK : A Consistent Hybrid Variational-Smoothing Data Assimilation Method (2000)
Veersé, Fabrice, Pham, Dinh-Tuan, Verron, Jacques
A mixed variational-smoothing data assimilation method is derived under the perfect-model hypothesis. An incremental 4D-Var analysis scheme is supplemented with a low-rank approximation of its...
Hoteit, Ibrahim, Pham, Dinh-Tuan, Blum, Jacques
The singular evolutive extended Kalman (SEEK) filter has been proposed recently by \it Pham et al. \cite{seek} for data assimilation into numerical oceanic models. This filter has been applied in...
Hoteit, Ibrahim, Pham, Dinh-Tuan, Blum, Jacques
Several studies have demonstrated the effectiveness of the Singular Evolutive Extended Kalman (SEEK) filter and its interpolated variant called SEIK in their capacity to assimilate altimetric data...
4D-Var/SEEK : A Consistent Hybrid Variational-Smoothing Data Assimilation Method (2000)
Veersé, Fabrice, Pham, Dinh-Tuan, Verron, Jacques
A mixed variational-smoothing data assimilation method is derived under the perfect-model hypothesis. An incremental 4D-Var analysis scheme is supplemented with a low-rank approximation of its...
Blind Separation of Instantaneous Mixtures of Non Stationary Sources (2000)
Dinh-tuan Pham, Jean-François Cardoso
Most ICA algorithms are based on a model of stationary sources. This paper considers exploiting the (possible) non-stationarity of the sources to achieve separation. We introduce two objective...
Blind Separation of Instantaneous Mixtures of Non Stationary Sources (2000)
Dinh-tuan Pham, Jean-francois Cardoso
Most ICA algorithms are based on a model of stationary sources. This paper considers exploiting the (possible) non-stationarity of the sources to achieve separation. We introduce two objective...
Blind Separation of Instantaneous Mixtures of Non Stationary Sources (2000)
Dinh-tuan Pham, Jean-Francois Cardoso
Most ICA algorithms are based on a model of stationary sources. This paper considers exploiting the (possible) non-stationarity of the sources to achieve separation. We introduce two objective...
Stochastic Methods for Sequential Data Assimilation in Strongly Nonlinear Systems (1998)
This paper considers several filtering methods of stochastic nature based on Monte-Carlo drawings, in view of the sequential data assimilation in non linear models. They include some known methods...
Stochastic Methods for Sequential Data Assimilation in Strongly Nonlinear Systems (1998)
This paper considers several filtering methods of stochastic nature based on Monte-Carlo drawings, in view of the sequential data assimilation in non linear models. They include some known methods...
Stochastic Methods for Sequential Data Assimilation in Strongly Nonlinear Systems (1998)
This paper considers several filtering methods of stochastic nature based on Monte-Carlo drawings, in view of the sequential data assimilation in non linear models. They include some known methods...
Nous proposons un algorithme de séparation aveugle des mélanges instantanés de sources basé sur des fonctions séparatrices qui sont elle même ajustées à partir des sources venant d'être...
A method for blind separation an instantaneous mixture of colored sources is proposed. It is based on the minimization a Gaussian mutual information criterion. This leads to a second order procedure,...
Séparation aveugle de sources via une analyse en composantes indépendantes (1995)
Nous proposons une méthode de séparation aveugle des mélanges instantanés de sources basée sur une analyse en composantes indépendantes (ACI). On cherche une transformation linéaire sur le...