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cs.LG2022
On the speed of uniform convergence in Mercer's theorem
Rustem Takhanov
The classical Mercer's theorem claims that a continuous positive definite kernel on a compact set can be represented as $\sum_{i=1}^\infty λ_iϕ_i({\ma…
stat.ML2022
Non-asymptotic spectral bounds on the -entropy of kernel classes
Rustem Takhanov
Let be a continuous Mercer kernel defined on a compact subset of and be the reproducing kernel Hilbert space (R…