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New dynamic Haussler lemma offers sharp bounds for real-valued classes

This paper introduces a sharp global dynamic analogue to Haussler's covering lemma, extending it to bounded real-valued classes under normalized $\ell_p$ distance for $1 \le p < \infty$. The research provides a global dynamic cover bound that is independent of the instance sequence and offers matching worst-case lower bounds for binary classes. The proof method combines rank-decreasing correction schedules with accurate sampled prefixes and exact continuations, utilizing shared-parent routing to optimize these continuations. AI

RANK_REASON This is a research paper published on arXiv detailing theoretical advancements in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New dynamic Haussler lemma offers sharp bounds for real-valued classes

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This is a research paper published on arXiv detailing theoretical advancements in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]
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  1. arXiv cs.LG TIER_1 English(EN) · Shihao Shao, Dacheng Tao ·

    A Sharp Dynamic Haussler Lemma

    arXiv:2610.29898v1 Announce Type: new Abstract: Haussler's covering lemma (JCTA 1995) gives the sharp $(C/\delta)^d$ metric-entropy bound for binary VC classes under normalized $\ell_1$ distance. We prove a sharp global dynamic analogue for bounded real-valued classes in normaliz…