5 papers
Curvature-based rejection sampling
Isabella Costa Maia, Marco Congedo, Pedro L. C. Rodrigues +1
The present work introduces curvature-based rejection sampling (CURS). This is a method for sampling from a general class of probability densities defined on Riemannian manifolds.…
Quasi-Synthetic Riemannian Data Generation for Writer-Independent Offline Signature Verification
Elias N. Zois, Moises Diaz, Salem Said +1
Offline handwritten signature verification remains a challenging task, particularly in writer-independent settings where models must generalize across unseen individuals. Recent de…
Universal kernels via harmonic analysis on Riemannian symmetric spaces
Franziskus Steinert, Salem Said, Cyrus Mostajeran
The universality properties of kernels characterize the class of functions that can be approximated in the associated reproducing kernel Hilbert space and are of fundamental import…
Gaussian integrals on symmetric spaces (the complex case and beyond)
Salem Said
The present work is concerned with Gaussian integrals on simply connected non-positively curved Riemannian symmetric spaces. It is motivated by the aim of explicitly finding the hi…
Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds
Florent Bouchard, Nils Laurent, Salem Said +1
In this paper, the issue of averaging data on a manifold is addressed. While the Fréchet mean resulting from Riemannian geometry appears ideal, it is unfortunately not always avail…