The BMO-discrepancy suffers from the curse of dimensionality

01/17/2023
by   Friedrich Pillichshammer, et al.
0

We show that the minimal discrepancy of a point set in the d-dimensional unit cube with respect to the BMO seminorm suffers from the curse of dimensionality.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
03/03/2023

The curse of dimensionality for the L_p-discrepancy with finite p

The L_p-discrepancy is a quantitative measure for the irregularity of di...
research
10/28/2019

Tractability properties of the discrepancy in Orlicz norms

We show that the minimal discrepancy of a point set in the d-dimensional...
research
06/30/2020

Sliced Kernelized Stein Discrepancy

Kernelized Stein discrepancy (KSD), though being extensively used in goo...
research
03/15/2021

Newcomb-Benford's law as a fast ersatz of discrepancy measures

Thanks to the increasing availability in computing power, high-dimension...
research
03/13/2020

On the fixed volume discrepancy of the Korobov point sets

This paper is devoted to the study of a discrepancy-type characteristic ...
research
07/03/2019

Quantitative evaluation of sense of discrepancy to operation response using event-related potential

This study aimed to develop a method to evaluate the sense of discrepanc...
research
02/28/2022

Spherical cap discrepancy of perturbed lattices under the Lambert projection

Given any full rank lattice and a natural number N , we regard the point...

Please sign up or login with your details

Forgot password? Click here to reset