2 papers
math.ST2026
First-order asymptotic expansions for spectral convergence of compact self-adjoint operators on general spectral subsets, with application to kernel Gram matrices
Eunseong Bae, Wolfgang Polonik
We study the spectral convergence of compact, self-adjoint operators on a separable Hilbert space, and derive the first-order asymptotic expansions for their eigenvalues, eigenvect…
math.ST2026
Kernel smoothing on manifolds
Eunseong Bae, Wolfgang Polonik
Under the assumption that data lie on a compact (unknown) manifold without boundary, we derive finite sample bounds for kernel smoothing and its (first and second) derivatives, and…