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 …
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 …
measurements, which allows for employing an intrinsic and computationally efficient …
Rate-invariant analysis of covariance trajectories
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 …
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 …
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 …
extracted in different ways for various purposes in signal processing. Care, however, must …
Phase-amplitude separation and modeling of spherical trajectories
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 …
longitudinal data on S 2, are important in several disciplines. These problems are …
[HTML][HTML] Comparing curves in homogeneous spaces
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 …
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
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 …
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 …
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
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 …
multidimensional curves where the domain is a real interval I. We consider that we are given …