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math.NA2019★ 2 cited
Tractability properties of the discrepancy in Orlicz norms
Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer +1
We show that the minimal discrepancy of a point set in the -dimensional unit cube with respect to Orlicz norms can exhibit both polynomial and weak tractability. In particular,…
math.NA2019
On the power of random information
Aicke Hinrichs, David Krieg, Erich Novak +2
We study approximation and integration problems and compare the quality of optimal information with the quality of random information. For some problems random information is almos…