AI Chat AI Image Generator AI Video Text to Speech

Reproducing Kernel Hilbert Spaces Cannot Contain all Continuous Functions on a Compact Metric Space

02/08/2020

∙

by Ingo Steinwart, et al.

∙

∙

Given an uncountable, compact metric space, we show that there exists no reproducing kernel Hilbert space that contains the space of all continuous functions on this compact space.

page 1

page 2

page 3

research

∙ 06/15/2022

A short note on compact embeddings of reproducing kernel Hilbert spaces in L^2 for infinite-variate function approximation

This note consists of two largely independent parts. In the first part w...

0 Marcin Wnuk, et al. ∙

research

∙ 05/27/2019

Reproducing kernel Hilbert spaces on manifolds: Sobolev and Diffusion spaces

We study reproducing kernel Hilbert spaces (RKHS) on a Riemannian mani...

5 Ernesto De Vito, et al. ∙

research

∙ 08/05/2014

Adaptive Learning in Cartesian Product of Reproducing Kernel Hilbert Spaces

We propose a novel adaptive learning algorithm based on iterative orthog...

0 Masahiro Yukawa, et al. ∙

research

∙ 03/28/2020

Reproducing Kernel Hilbert Spaces Approximation Bounds

We find probability error bounds for approximations of functions f in a ...

0 Ata Deniz Aydin, et al. ∙

research

∙ 05/19/2019

An Online Stochastic Kernel Machine for Robust Signal Classification

We present a novel variation of online kernel machines in which we explo...

3 Raghu G. Raj, et al. ∙

research

∙ 06/25/2017

The Matrix Hilbert Space and Its Application to Matrix Learning

Theoretical studies have proven that the Hilbert space has remarkable pe...

0 Yunfei Ye, et al. ∙

research

∙ 08/31/2021

Formalizing the Gromov-Hausdorff space

The Gromov-Hausdorff space is usually defined in textbooks as "the space...

0 Sébastien Gouëzel, et al. ∙