Kernel density estimation on the Siegel space with an application to radar processing
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 …
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 …
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
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 …
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
This paper deals with unsupervised radar clutter clustering to characterize pathological
clutter based on their Doppler fluctuations. Operationally, being able to recognize …
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
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 …
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 …
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" …
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
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 …
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
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 …
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 …
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 …
and polarimetric measurements of the states of an electromagnetic wave, using the works of …