Kernel density estimation on the Siegel space with an application to radar processing

E Chevallier, T Forget, F Barbaresco, J Angulo - Entropy, 2016 - mdpi.com
This paper studies probability density estimation on the Siegel space. The Siegel space is a
generalization of the hyperbolic space. Its Riemannian metric provides an interesting …

Multidimensional complex stationary centered Gaussian autoregressive time series machine learning in Poincaré and Siegel disks: application for audio and radar …

Y Cabanes - 2022 - theses.hal.science
The objective of this thesis is the classification of complex valued stationary centered
Gaussian autoregressive time series. We study the case of one-dimensional time series as …

Toeplitz Hermitian positive definite matrix machine learning based on Fisher metric

Y Cabanes, F Barbaresco, M Arnaudon… - Geometric Science of …, 2019 - Springer
Here we propose a method to classify radar clutter from radar data using an unsupervised
classification algorithm. The data will be represented by Positive Definite Hermitian Toeplitz …

Unsupervised machine learning for pathological radar clutter clustering: The p-mean-shift algorithm

Y Cabanes, F Barbaresco, M Arnaudon, J Bigot - C&ESAR 2019, 2019 - hal.science
This paper deals with unsupervised radar clutter clustering to characterize pathological
clutter based on their Doppler fluctuations. Operationally, being able to recognize …

Non-supervised machine learning algorithms for radar clutter high-resolution Doppler segmentation and pathological clutter analysis

Y Cabanes, F Barbaresco… - 2019 20th …, 2019 - ieeexplore.ieee.org
Here we propose a method to classify radar clutter from radar data using a non-supervised
classification algorithm. Thus new radars will be able to use the experience of other radars …

Radar micro-doppler signal encoding in siegel unit poly-disk for machine learning in fisher metric space

F Barbaresco - 2018 19th International Radar Symposium (IRS …, 2018 - ieeexplore.ieee.org
For classification of Radar micro-Doppler signature by Machine Learning techniques, first
step consists in coding the data in well adapted metric space. We propose a new approach …

Coding & statistical characterization of radar signal fluctuation for lie group machine learning

F Barbaresco - 2019 International Radar Conference (RADAR), 2019 - ieeexplore.ieee.org
This paper describes new geometrical approaches to define the statistics of spatio-temporal
measurements of the states of an electromagnetic wave, by using the notion of" average" …

Non-supervised high resolution Doppler machine learning for pathological radar clutter

Y Cabanes, F Barbaresco… - 2019 International …, 2019 - ieeexplore.ieee.org
In this paper we propose a method to classify radar clutter from radar data using a non-
supervised classification algorithm. As a final objective, new radars will therefore be able to …

Doppler spectrum segmentation of radar sea clutter by mean-shift and information geometry metric

F Barbaresco, T Forget, E Chevallier… - 2016 17th …, 2016 - ieeexplore.ieee.org
Radar sea clutter inhomogeneity in range is characterized by Doppler mean and spectrum
width variations. We propose a new approach for robust statistical density estimation and …

The Basic Geometric Structures of Electromagnetic Digital Information: Statistical characterization of the digital measurement of spatio-Doppler and polarimetric …

F Barbaresco, Y Cabanes - arXiv preprint arXiv:2007.00428, 2020 - arxiv.org
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 of …