2 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…