This paper achieves constant prefix discrepancy for online signed balancing of small-coordinate vectors with failure probability about T exp(-c d / ln^2(ed)), and proves the ln^2 scale is a barrier for the compact-potential method.
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Online balancing of vectors with small coordinates
This paper achieves constant prefix discrepancy for online signed balancing of small-coordinate vectors with failure probability about T exp(-c d / ln^2(ed)), and proves the ln^2 scale is a barrier for the compact-potential method.