A New Statistic for Testing Covariance Equality in High-Dimensional Gaussian Low-Rank Models

R Beisson, P Vallet, A Giremus… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
In this paper, we consider the problem of testing equality of the covariance matrices of
complex Gaussian multivariate time series of dimension. We study the special case where …

Probabilistic PCA from heteroscedastic signals: geometric framework and application to clustering

A Collas, F Bouchard, A Breloy… - IEEE Transactions …, 2021 - ieeexplore.ieee.org
This paper studies a statistical model for heteroscedastic (ie, power fluctuating) signals
embedded in white Gaussian noise. Using the Riemannian geometry theory, we propose an …

Multi-frequency interferometric coherence characteristics analysis of typical objects for coherent change detection

Z Wang, Y Wang, B Wang, M Xiang, R Wang, W Xu… - Remote Sensing, 2022 - mdpi.com
This paper focuses on the study of a multi-frequency interferometric coherence
characteristics analysis of typical objects for coherent change detection. Coherent change …

Online change detection in SAR time-series with Kronecker product structured scaled Gaussian models

A Mian, G Ginolhac, F Bouchard, A Breloy - Signal Processing, 2024 - Elsevier
We develop the information geometry of scaled Gaussian distributions for which the
covariance matrix exhibits a Kronecker product structure. This model and its geometry are …

Unsupervised change detection of man-made objects using coherent and incoherent features of multi-temporal SAR images

H Feng, J Wu, L Zhang, M Liao - Journal of Systems …, 2022 - ieeexplore.ieee.org
Constrained by complex imaging mechanism and extraordinary visual appearance, change
detection with synthetic aperture radar (SAR) images has been a difficult research topic …

Géométrie riemannienne pour l'estimation et l'apprentissage statistiques: application à la télédétection

A Collas - 2022 - theses.hal.science
Remote sensing systems offer an increased opportunity to record multi-temporal and
multidimensional images of the earth's surface. This opportunity greatly increases the …

[PDF][PDF] Riemannian geometry for statistical estimation and learning: application to remote sensing

A Collas - 2022 - antoinecollas.fr
Remote sensing systems offer an increased opportunity to record multi-temporal and
multidimensional images of the earth's surface. This opportunity greatly increases the …

MIMO filters based on robust rank-constrained Kronecker covariance matrix estimation

A Breloy, G Ginolhac, Y Gao, F Pascal - Signal Processing, 2021 - Elsevier
In this paper, we propose a new estimator of the covariance matrix parameters when
observations follow a mixture of a deterministic Compound-Gaussian (CG) and a white …

Robust Statistics for Multi-Band SAR Image Change Detection

M Diaw, O Lerda, J Frontera–Pons… - 2024 32nd …, 2024 - ieeexplore.ieee.org
Change detection remains a classic but essential problem in Synthetic Aperture Radar
(SAR) imagery. When designing statistical change detection schemes, SAR data are …

One-class classification for low resolution targets discrimination with limited supervision in pulse Doppler radars

M Bauw - 2023 - pastel.hal.science
Air surveillance pulse Doppler radars (PDR) need to discriminate targets using the
backscatter generated by small bursts of modulated pulses. Rotating antennas constrain the …