Refined U-statistic generalization bounds for extreme multi-class contrastive learning that scale with the number of classes R instead of the rarest class probability, plus a new estimator yielding O(k) complexity under mild assumptions.
Solving the above quadratic equation yields: λ= 2 ln(R+1)/∆ 3 + q 4 ln2(R+1)/∆ 9 + 8N(1− ∥ρ∥ 2
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A Refined Generalization Analysis for Extreme Multi-class Supervised Contrastive Representation Learning
Refined U-statistic generalization bounds for extreme multi-class contrastive learning that scale with the number of classes R instead of the rarest class probability, plus a new estimator yielding O(k) complexity under mild assumptions.