3 papers
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…
stat.ME2024
Optimal design of experiments for functional linear models with dynamic factors
Caterina May, Theodoros Ladas, Davide Pigoli +1
In this work we build optimal experimental designs for precise estimation of the functional coefficient of a function-on-function linear regression model where both the response an…
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…