Sébastien Gadat

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We introduce a new model addressing feature selection from a large dictionary of variables that can be computed from a signal or an image. Features are extracted according to an efficiency criterion, on the basis of specified classification or recognition tasks. This is done by estimating a probability distribution P on the complete dictionary, which(More)
Originating in Grenander's pattern theory, the problem of defining appropriate distances between shapes or images and the use of transformation groups to model the variability of natural images is now an active field of research. However, most of the existing results are stated in a deterministic setting while results in a random framework that are(More)
We investigate an important issue of a meta-algorithm for selecting variables in the framework of microarray data. This wrapper method starts from any classification algorithm and weights each variable (i.e. gene) relative to its efficiency for classification. An optimization procedure is then inferred which exhibits important genes for the studied(More)
Microarray technology allows for the monitoring of thousands of gene expressions in various biological conditions, but most of these genes are irrelevant for classifying these conditions. Feature selection is consequently needed to help reduce the dimension of the variable space. Starting from the application of the stochastic meta algorithm " Optimal(More)
In this paper, we are interested in a diffusion process based on a gradient descent. The process is non Markov and has a memory term which is built as a weighted average of the drift term all along the past of the trajectory. For this type of diffusion, we study the long time behaviour of the process in terms of the memory. We exhibit some conditions for(More)
J o u r n a l o f P r o b a b i l i t y Electron. Abstract In this paper, we consider a class of diffusions based on a memory gradient descent, i.e. whose drift term is built as the average all along the past of the trajectory of the gradient of a coercive function U. Under some classical assumptions on U , this type of diffusion is ergodic and admits a(More)
This paper considers the problem of estimating a mean pattern in the setting of Grenan-der's pattern theory. Shape variability in a data set of curves or images is modeled by the random action of elements in a compact Lie group on an infinite dimensional space. In the case of observations contaminated by an additive Gaussian white noise, it is shown that(More)
In this paper we introduce a new class of diffeomorphic smoothers based on general spline smoothing techniques and on the use of some tools that have been recently developed in the context of image warping to compute smooth diffeomor-phisms. This diffeomorphic spline is defined as the solution of an ordinary differential equation governed by an appropriate(More)
  • Nathalie Villa, Taoufiq Dkaki, Sébastien Gadat, Jean-Michel Inglebert, Quoc-Dinh Truong
  • 2009
Le travail présenté ici concerne l'analyse, la compréhension et la représentation de grands graphes. En effet, ce type de données se retrouve de manière naturelle dans un nombre croissant de problèmes concrets : web, recherche d'information, réseaux sociaux, réseaux d'interaction biologiques... La progression des moyens de recueil et de stockage des données(More)