With the rapid advancements in medical data acquisition and production, increasingly richer representations exist to characterize medical information. However, such large-scale data do not usually meet computing resource constraints or algorithmic complexity, and can only be processed after compression or reduction, at the potential loss of information. In this work, we consider specific Gaussian mixture models (HD-GMM), tailored to deal with high dimensional data and to limit information loss by providing compone…

This paper addresses the problem of target search and tracking using a fleet of cooperating UAVs evolving in some unknown region of interest containing an a priori unknown number of moving ground targets. Each drone is equipped with an embedded Computer Vision System (CVS), providing an image with labeled pixels and a depth map of the observed part of its environment. Moreover, a box containing the corresponding pixels in the image frame is available when a UAV identifies a target. Hypotheses regarding information…

Remote sensing of the Earth and other planets of the Solar System return huge volumes of data. Retrieving information of interest from such data may consist of inverting a direct or forward physical model, which theoretically describes how parameters of interest x ∈ X are translated into observations y ∈ Y. The observations y are high-dimensional (of dimension D) because they represent signals in time, angles or wavelengths. Besides, many such high-dimens…

Searching and tracking mobile targets rely most often on modeling the uncertainty and various perturbations by stochastic processes. The detection and location of the targets are performed with Bayesian estimation, which reliability and resulting performance are deeply linked to the adequacy of the stochastic models. An alternative approach limits the representation of these perturbations by defining the bounds within which they can vary. Set-membership estimation techniques have been developed to handle this repr…

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