Intrinsic Gaussian Vector Fields on Manifolds

arXiv:2310.18824v2 Announce Type: replace-cross
Abstract: Various applications ranging from robotics to climate science require modeling signals on non-Euclidean domains, such as the sphere. Gaussian process models on manifolds have recently been proposed for such tasks, in particular when uncertainty quantification is needed. In the manifold setting, vector-valued signals can behave very differently from scalar-valued ones, with much of the progress so far focused on modeling the latter. The former, however, are crucial for many applications, such as modeling wind speeds …

abstract applications arxiv climate climate science cs.lg domains fields intrinsic manifold modeling non-euclidean process quantification robotics science sphere stat.ml tasks type uncertainty vector