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- Salem Said, Nicolas Courty, Nicolas Le Bihan, Stephen J. Sangwine
- 2007 15th European Signal Processing Conference
- 2007

PGA, or Principal Geodesic Analysis, is an extension of the classical PCA (Principal Component Analysis) to the case of data taking values on a Riemannian manifold. In this paper a new and originalâ€¦ (More)

- Salem Said, Lionel Bombrun, Yannick Berthoumieu, Jonathan H. Manton
- IEEE Transactions on Information Theory
- 2017

Data, which lie in the space <inline-formula> <tex-math notation="LaTeX">$\mathcal {P}_{m\,}$ </tex-math></inline-formula>, of <inline-formula> <tex-math notation="LaTeX">$m \times m$â€¦ (More)

- Salem Said, Jonathan H. Manton
- SIAM J. Control and Optimization
- 2013

The current paper deals with filtering problems where the observation process, conditioned on the unknown signal, is an elliptic diffusion in a differentiable manifold. Precisely, the observationâ€¦ (More)

- Paolo Zanini, Marco Congedo, Christian Jutten, Salem Said, Yannick Berthoumieu
- IEEE transactions on bio-medical engineering
- 2017

OBJECTIVE
This paper tackles the problem of transfer learning in the context of EEG-based Brain Computer Interface (BCI) classification. In particular the problems of cross-session and cross-subjectâ€¦ (More)

- JÃ©rÃ©mie Boulanger, Salem Said, Nicolas Le Bihan, Jonathan H. Manton
- Signal Processing
- 2016

This paper considers the problem of optimal filtering for partially observed signals taking values on the rotation group. More precisely, one or more components are considered not to be available inâ€¦ (More)

- Salem Said, Nicolas Le Bihan, Stephen J. Sangwine
- IEEE Transactions on Signal Processing
- 2008

In this paper, we consider the extension of the Fourier transform to biquaternion-valued signals. We introduce a transform that we call the biquaternion Fourier transform (BiQFT). After giving someâ€¦ (More)

- Salem Said, Christian Lageman, Nicolas Le Bihan, Jonathan H. Manton
- IEEE Transactions on Information Theory
- 2010

Noncommutative harmonic analysis is used to solve a nonparametric estimation problem stated in terms of compound Poisson processes on compact Lie groups. This problem of decompounding is aâ€¦ (More)

- Salem Said, Hatem Hajri, Lionel Bombrun, Baba C. Vemuri
- IEEE Transactions on Information Theory
- 2018

The Riemannian geometry of covariance matrices has been essential to several successful applications, in computer vision, biomedical signal and image processing, and radar data processing. For theseâ€¦ (More)

- Salem Said, Jonathan H. Manton
- IEEE Transactions on Information Theory
- 2012

This paper studies Brownian distributions on compact Lie groups. These are defined as the marginal distributions of Brownian processes and are intended as a natural extension of the well-known normalâ€¦ (More)

- Salem Said, Lionel Bombrun, Yannick Berthoumieu
- GSI
- 2015