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Also note forj >(d−1)/2 thatv T j x= 1, thusg(v T j x) = 1−1 = 0, by the assumption it also holds for all samples thata ix= 1 resp

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cs.LG 1

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2026 1

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UNVERDICTED 1

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Optimal Dimension-Free Sampling for Regularized Classification

cs.LG · 2026-05-22 · unverdicted · novelty 7.0

Establishes optimal dimension-free sampling complexities (k²/ε² for L2/k, k/ε² for L1/k, linear in k under bounded derivative) for regularized classification losses with matching lower bounds.

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  • Optimal Dimension-Free Sampling for Regularized Classification cs.LG · 2026-05-22 · unverdicted · none · ref 7

    Establishes optimal dimension-free sampling complexities (k²/ε² for L2/k, k/ε² for L1/k, linear in k under bounded derivative) for regularized classification losses with matching lower bounds.