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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.



b4edda67f0f57e218a8e766927e3e5c5-Paper.pdf

Neural Information Processing Systems

The priors used in this presentation include variants oftotalvariation, Laplacian regularization, bilateral filtering, sparse coding on learned dictionaries, and non-local self similarities. Our models are fully interpretable as well as parameter and data efficient.