Riemannian medians and means with applications to radar signal processing

M Arnaudon, F Barbaresco… - IEEE Journal of Selected …, 2013 - ieeexplore.ieee.org
We develop a new geometric approach for high resolution Doppler processing based on the
Riemannian geometry of Toeplitz covariance matrices and the notion of Riemannian p …

Riemannian batch normalization for SPD neural networks

D Brooks, O Schwander… - Advances in …, 2019 - proceedings.neurips.cc
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 needs to …

Information geometry of covariance matrix: Cartan-Siegel homogeneous bounded domains, Mostow/Berger fibration and Frechet median

F Barbaresco - Matrix information geometry, 2012 - Springer
Abstract Information Geometry has been introduced by Rao, and axiomatized by Chentsov,
to define a distance between statistical distributions that is invariant to non-singular …

Explainable multi-frequency and multi-region fusion model for affective brain-computer interfaces

T Wang, R Mao, S Liu, E Cambria, D Ming - Information Fusion, 2025 - Elsevier
An affective brain-computer interface (aBCI) has demonstrated great potential in the field of
emotion recognition. However, existing aBCI models encounter significant challenges in …

Machine and deep learning for drone radar recognition by micro-doppler and kinematic criteria

F Barbaresco, D Brooks, C Adnet - 2020 IEEE Radar …, 2020 - ieeexplore.ieee.org
Illegal, malicious or dangerous uses of drones, require developing systems capable of
detecting, tracking and recognizing them in a non-collaborative way, and with enough …

Exploring complex time-series representations for Riemannian machine learning of radar data

DA Brooks, O Schwander, F Barbaresco… - ICASSP 2019-2019 …, 2019 - ieeexplore.ieee.org
Classification of radar observations with machine learning tools is of primary importance for
the identification of non-cooperative radar targets such as drones. These observations are …

On the use of matrix information geometry for polarimetric SAR image classification

P Formont, JP Ovarlez, F Pascal - Matrix Information Geometry, 2012 - Springer
Polarimetric SAR images have a large number of applications. To extract a physical
interpretation of such images, a classification on their polarimetric properties can be a real …

Information geometry and estimation of Toeplitz covariance matrices

B Balaji, F Barbaresco… - 2014 International Radar …, 2014 - ieeexplore.ieee.org
The estimation of covariance matrix is of fundamental importance in radar signal processing.
Recent work has shown that information geometry provides a novel approach to estimating …

A cooperative spectrum sensing method based on empirical mode decomposition and information geometry in complex electromagnetic environment

Y Wang, S Zhang, Y Zhang, P Wan, J Li, N Li - Complexity, 2019 - Wiley Online Library
In a complex electromagnetic environment, there are cases where the noise is uncertain and
difficult to estimate, which poses a great challenge to spectrum sensing systems. This paper …

Deep learning and information geometry for drone micro-Doppler radar classification

D Brooks, O Schwander, F Barbaresco… - 2020 IEEE Radar …, 2020 - ieeexplore.ieee.org
In this work, we build dedicated learning models for micro-Doppler radar time series
classification. We develop both deep temporal architectures based on time-frequency …