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Efficient Aggregated Kernel Tests using IncompleteU-statistics

Neural Information Processing Systems

Theminimax (i.e.optimal) rateoverthe SobolevballSsd(R) is N 2s/(4s+d) forthetwo-sample (Liand Yuan, 2019, Theorem 5 (ii)) andindependence (Albertetal., 2022, Theorem 4; Berrett etal., 2021, Corollary 5) problems.