4 papers
Warped Riemannian metrics for location-scale models
Salem Said, Lionel Bombrun, Yannick Berthoumieu
The present paper shows that warped Riemannian metrics, a class of Riemannian metrics which play a prominent role in Riemannian geometry, are also of fundamental importance in info…
Riemannian Gaussian distributions on the space of positive-definite quaternion matrices
Salem Said, Nicolas Le Bihan, Jonathan H. Manton
Recently, Riemannian Gaussian distributions were defined on spaces of positive-definite real and complex matrices. The present paper extends this definition to the space of positiv…
Warped metrics for location-scale models
Salem Said, Yannick Berthoumieu
This paper argues that a class of Riemannian metrics, called warped metrics, plays a fundamental role in statistical problems involving location-scale models. The paper reports thr…
On a family of differential-reflection operators: intertwining operators and Fourier transform of rapidly decreasing functions
Salem Ben Said, Asma Boussen, Mohamed Sifi
We introduce a family of differential-reflection operators acting on smooth functions defined on Here is a Strum-Liouville function with addit…