arxivcs.LG2026-07-23
Data eccentricity, asymptotics of Gaussian RBF reproducing kernel Hilbert space, and kernel PCA
We show that, up to isotropic scaling, the Gaussian RBF reproducing kernel Hilbert space (RKHS) is asymptotically isometric to Euclidean space in the large bandwidth limit. This strongly suggests that kernel-based constructions reliant on metric properties of the RKHS will yield…