AI RESEARCH
The Partition Principle Revisited: Non-Equal Volume Designs Achieve Minimal Expected Star Discrepancy
arXiv CS.LG
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ArXi:2603.00202v2 Announce Type: replace-cross We study the expected star discrepancy under a newly designed class of non-equal volume partitions. The main contributions are twofold. First, we establish a strong partition principle for the star discrepancy, showing that our newly designed non-equal volume partitions yield stratified sampling point sets with lower expected star discrepancy than classical jittered sampling.