Empirical integral operators with discontinuous non-negative symmetric kernels converge spectrally to their population versions with explicit rates as sample size grows to infinity.
Random matrix approximation of spectra of integral operators
2 Pith papers cite this work. Polarity classification is still indexing.
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Derives exponential upper bounds under the null for the spectrally truncated normalized MMD and supplies a practical data-adaptive quantile estimator with hyperparameter tuning that does not require splitting.
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Spectral convergence of empirical integral operators with discontinuous kernels
Empirical integral operators with discontinuous non-negative symmetric kernels converge spectrally to their population versions with explicit rates as sample size grows to infinity.
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Non-asymptotic two-sample kernel testing with the spectrally truncated normalized MMD
Derives exponential upper bounds under the null for the spectrally truncated normalized MMD and supplies a practical data-adaptive quantile estimator with hyperparameter tuning that does not require splitting.