267 citations · 813 across the 34 of their papers we have counts for
4 papers · 1 filter
Reproducing Kernel Hilbert Spaces Cannot Contain all Continuous Functions on a Compact Metric Space
Ingo Steinwart
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.
A Closer Look at Covering Number Bounds for Gaussian Kernels
Ingo Steinwart, Simon Fischer
We establish some new bounds on the log-covering numbers of (anisotropic) Gaussian reproducing kernel Hilbert spaces. Unlike previous results in this direction we focus on small ex…
Strictly proper kernel scores and characteristic kernels on compact spaces
Ingo Steinwart, Johanna F. Ziegel
Strictly proper kernel scores are well-known tool in probabilistic forecasting, while characteristic kernels have been extensively investigated in the machine learning literature.…
A Short Note on the Comparison of Interpolation Widths, Entropy Numbers, and Kolmogorov Widths
Ingo Steinwart
We compare the Kolmogorov and entropy numbers of compact operators mapping from a Hilbert space into a Banach space. We then apply these general findings to embeddings between repr…