2 papers
physics.ao-ph2026
Koopman Analysis of Sea Surface Temperature with a Signature Kernel
Nozomi Sugiura, Satoshi Osafune, Shinya Kouketsu
We develop a trajectory-based Koopman method for sea surface temperature (SST) that lifts annual SST segments using a signature kernel -- a reproducing kernel Hilbert space (RKHS)…
math.RA2023
The barycenter in free nilpotent Lie groups and its application to iterated-integrals signatures
Marianne Clausel, Joscha Diehl, Raphael Mignot +3
We establish the well-definedness of the barycenter (in the sense of Buser and Karcher) for every integrable measure on the free nilpotent Lie group of step (over $\mathbb{R}^d…