A geometric approach to covariance matrix estimation and its applications to radar problems

A Aubry, A De Maio, L Pallotta - IEEE Transactions on Signal …, 2017 - ieeexplore.ieee.org
A new class of disturbance covariance matrix estimators for radar signal processing
applications is introduced following a geometric paradigm. Each estimator is associated with …

Sasaki metric for spline models of manifold-valued trajectories

E Nava-Yazdani, F Ambellan, M Hanik… - … Aided Geometric Design, 2023 - Elsevier
We propose a generic spatiotemporal framework to analyze manifold-valued
measurements, which allows for employing an intrinsic and computationally efficient …

Rate-invariant analysis of covariance trajectories

Z Zhang, J Su, E Klassen, H Le, A Srivastava - Journal of Mathematical …, 2018 - Springer
Statistical analysis of dynamic systems, such as videos and dynamic functional connectivity,
is often translated into a problem of analyzing trajectories of relevant features, particularly …

Robust Burg estimation of radar scatter matrix for autoregressive structured SIRV based on Fréchet medians

A Decurninge, F Barbaresco - IET Radar, Sonar & Navigation, 2017 - Wiley Online Library
The authors address the estimation of the scatter matrix of a scale mixture of Gaussian
stationary autoregressive (AR) vectors. This is equivalent to consider the estimation of a …

Mean and median of PSD matrices on a Riemannian manifold: Application to detection of narrow-band sonar signals

KM Wong, JK Zhang, J Liang… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
The rich information in the power spectral density (PSD) matrix of a received signal can be
extracted in different ways for various purposes in signal processing. Care, however, must …

Phase-amplitude separation and modeling of spherical trajectories

Z Zhang, E Klassen, A Srivastava - Journal of Computational and …, 2018 - Taylor & Francis
The problems of analysis and modeling of spherical trajectories, that is, continuous
longitudinal data on S 2, are important in several disciplines. These problems are …

[HTML][HTML] Comparing curves in homogeneous spaces

Z Su, E Klassen, M Bauer - Differential Geometry and its Applications, 2018 - Elsevier
Of concern is the study of the space of curves in homogeneous spaces. Motivated by
applications in shape analysis we identify two curves if they only differ by their …

The square root velocity framework for curves in a homogeneous space

Z Su, E Klassen, M Bauer - Proceedings of the IEEE …, 2017 - openaccess.thecvf.com
In this paper we study the shape space of curves with values in a homogeneous space M=
G/K, where G is a Lie group and K is a compact Lie subgroup. We generalize the square root …

Probability on the spaces of curves and the associated metric spaces via information geometry; radar applications

A Le Brigant - 2017 - theses.hal.science
We are concerned with the comparison of the shapes of open smooth curves that take their
values in a Riemannian manifold M. To this end, we introduce a reparameterization invariant …

Bayesian cluster analysis for registration and clustering homogeneous subgroups in multidimensional functional data

A Fradi, C Samir - Communications in Statistics-Theory and …, 2022 - Taylor & Francis
We introduce a new statistical model for clustering populations of functions and
multidimensional curves where the domain is a real interval I. We consider that we are given …