3 citations · 5 across the 10 of their papers we have counts for
8 papers · 1 filter
Gaussian distributions on Riemannian symmetric spaces in the large N limit
Simon Heuveline, Salem Said, Cyrus Mostajeran
We consider Gaussian distributions on certain Riemannian symmetric spaces. In contrast to the Euclidean case, it is challenging to compute the normalization factors of such distrib…
Statistical models and probabilistic methods on Riemannian manifolds
Salem Said
This entry contains the core material of my habilitation thesis, soon to be officially submitted. It provides a self-contained presentation of the original results in this thesis,…
Hidden Markov chains and fields with observations in Riemannian manifolds
Salem Said, Nicolas Le Bihan, Jonathan H. Manton
Hidden Markov chain, or Markov field, models, with observations in a Euclidean space, play a major role across signal and image processing. The present work provides a statistical…
The Riemannian barycentre as a proxy for global optimisation
Salem Said, Jonathan H. Manton
Let be a simply-connected compact Riemannian symmetric space, and a twice-differentiable function on , with unique global minimum at . The idea of the present…
Fast, asymptotically efficient, recursive estimation in a Riemannian manifold
Jialun Zhou, Salem Said
Stochastic optimisation in Riemannian manifolds, especially the Riemannian stochastic gradient method, has attracted much recent attention. The present work applies stochastic opti…
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…