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math.ST2026
Autoregressive Processes on Riemannian Manifolds
Meshal Abuqrais, Davide Pigoli
This paper introduces a Riemannian autoregressive (R-AR) model of order one for manifold-valued time series. The model is specified through an autoregressive process in the tangent…
math.ST2024
A Riemannian covariance for manifold-valued data
Meshal Abuqrais, Davide Pigoli
The extension of bivariate measures of dependence to non-Euclidean spaces is a challenging problem. The non-linear nature of these spaces makes the generalisation of classical meas…