3 papers
math.ST2026
Adaptive estimation of Sobolev-type energy functionals on the sphere
Claudio Durastanti
We study the estimation of quadratic Sobolev-type integral functionals of an unknown density on the unit sphere. The functional is defined through fractional powers of the Laplace-…
math.ST2026
Spectral Bayesian Regression on the Sphere
Claudio Durastanti
We develop a fully intrinsic Bayesian framework for nonparametric regression on the unit sphere based on isotropic Gaussian field priors and the harmonic structure induced by the L…
math.PR2026
Spectral Diffusion Models on the Sphere
Francesco Mari, Pierpaolo Brutti, Claudio Durastanti
Diffusion models provide a principled framework for generative modeling via stochastic differential equations and time-reversed dynamics. However, extension of spectral diffusion a…