A user-diversity condition is necessary and sufficient for personalized alignment to achieve O(1) online regret and log(1/epsilon) offline sample complexity.
10 Personalized Alignment Revisited neurips.cc/paper/2021/hash/ 258be18e31c8188555c2ff05b4d542c3-Abstract
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Personalized Alignment Revisited: The Necessity and Sufficiency of User Diversity
A user-diversity condition is necessary and sufficient for personalized alignment to achieve O(1) online regret and log(1/epsilon) offline sample complexity.