55 citations · 76 across the 15 of their papers we have counts for
17 papers
Deformation of affine structures and the cohomology of Koszul-Vinberg algebras on the lie groups SO(2), H3(R) and Galilei group SGal(3)
Prosper R. Mama Assandje, R. Nimpa Pefoukeu, Michel B. Djiadeu Ngaha +2
In this work, we compare the De Rham cohomology and the Koszul-Vinberg cohomology groups on the Lie groups SO(2), H3(R) and SGal(3). We model their interactions by constructing a t…
A Hamiltonian driven Geometric Construction of Neural Networks via the Lognormal family, Application to Financial Fraud Detection and to Network Security
Prosper Rosaire Mama Assandje, Landry Foka Marius, Arnaud Gires Fobasso Tchinda +3
We presents a method for constructing neural networks intrinsically on statistical manifolds via the lognormal distribution. We demonstrate this approach by formulating a neural ne…
Optimization of Radar Search Patterns for Multiple Scanning Missions in Localized Clutter
Yann Briheche, Frédéric Barbaresco, Fouad Bennis +1
Electronic Phased-Array Radars offer new possibilities for Optimization of Radar Search Pattern by using bi-dimensional beam forming and beam steering, along both elevation and azi…
Optimal matching between curves in a manifold
Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco
This paper is concerned with the computation of an optimal matching between two manifold-valued curves. Curves are seen as elements of an infinite-dimensional manifold and compared…
Tracking mulitple targets with multiple radars using Distributed Auctions
Pierre Larrenie, Cédric Buron, Frédéric Barbaresco
Coordination of radars can be performed in various ways. To be more resilient radar networks can be coordinated in a decentralized way. In this paper, we introduce a highly resilie…
Sliding Window Neural Generated Tracking Based on Measurement Model
Haya Ejjawi, Amal El Fallah Seghrouchni, Frederic Barbaresco +1
In the pursuit of further advancement in the field of target tracking, this paper explores the efficacy of a feedforward neural network in predicting drones tracks, aiming to event…
Collaborative Multi-Radars Tracking by Distributed Auctions
Pierre Larrenie, Cédric Buron, Frédéric Barbaresco
In this paper, we present an algorithm which lies in the domain of task allocation for a set of static autonomous radars with rotating antennas. It allows a set of radars to alloca…
Towards Bundle Adjustment for Satellite Imaging via Quantum Machine Learning
Nico Piatkowski, Thore Gerlach, Romain Hugues +3
Given is a set of images, where all images show views of the same area at different points in time and from different viewpoints. The task is the alignment of all images such that…
Multi-Radar Tracking Optimization for Collaborative Combat
Nouredine Nour, Reda Belhaj-Soullami, Cédric Buron +2
Smart Grids of collaborative netted radars accelerate kill chains through more efficient cross-cueing over centralized command and control. In this paper, we propose two novel rewa…
The Basic Geometric Structures of Electromagnetic Digital Information: Statistical characterization of the digital measurement of spatio-Doppler and polarimetric fluctuations of the radar electromagnetic wave
Frédéric Barbaresco, Yann Cabanes
The aim is to describe new geometric approaches to define the statistics of spatio-temporal and polarimetric measurements of the states of an electromagnetic wave, using the works…
AI-Augmented Multi Function Radar Engineering with Digital Twin: Towards Proactivity
Mathieu Klein, Thomas Carpentier, Eric Jeanclaude +7
Thales new generation digital multi-missions radars, fully-digital and software-defined, like the Sea Fire and Ground Fire radars, benefit from a considerable increase of accessibl…
Multi-criteria Analysis for Evaluation of Adaptive Radar Resource Management algorithms on a Naval setting with and without clutter
Christophe Labreuche, Cédric Buron, Peter Moo +1
Multifunction radars (MFR) are met with complex capability requirements, involving various kinds of targets and saturating scenarios. In order to achieve these goals, radar systems…
Branch-and-Bound Method for Just-in-Time Optimization of Radar Search Patterns
Yann Briheche, Frédéric Barbaresco, Fouad Bennis +1
Electronic phased-array radars offer new possibilities for radar search pattern optimization by using bi-dimensional beam-forming and beam-steering. Radar search pattern optimizati…
Riemannian batch normalization for SPD neural networks
Daniel Brooks, Olivier Schwander, Frederic Barbaresco +2
Covariance matrices have attracted attention for machine learning applications due to their capacity to capture interesting structure in the data. The main challenge is that one ne…
Robust Burg Estimation of Radar Scatter Matrix for Autoregressive structured SIRV based on Fréchet medians
Alexis Decurninge, Frédéric Barbaresco
We address the estimation of the scatter matrix of a scale mixture of Gaussian stationary autoregressive vectors. This is equivalent to consider the estimation of a structured scat…
Reparameterization invariant metric on the space of curves
Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco
This paper focuses on the study of open curves in a manifold M, and proposes a reparameterization invariant metric on the space of such paths. We use the square root velocity funct…
Medians and means in Riemannian geometry: existence, uniqueness and computation
Marc Arnaudon, Frédéric Barbaresco, Le Yang
This paper is a short summary of our recent work on the medians and means of probability measures in Riemannian manifolds. Firstly, the existence and uniqueness results of local me…