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Then for all 0 ≤ j ≤ k − 1, |Rj| ≤ ϵα∥∇g(x(j))∥2 2 if α ≤ 2(ϵ − γ)/L2p (ϵ + γ)α∥∇g(x(j))∥2 2 if α ≤ 2ϵ/L2p (37) Proof

Suppose that x(j) ∈ B(x(0), r), β supH∈∂h(x(j)) ∥H∥2 ≤ γ∥G(x(j))∥2 for all 0 ≤ j ≤ k − 1, for some k ≥ 1 · 2022

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Grokking Beyond the Euclidean Norm of Model Parameters

cs.LG · 2025-06-06 · conditional · novelty 6.0

Grokking is induced by any small nonzero regularizer whose favored solutions generalize, with a delay that scales like one over the learning rate times the regularization strength.

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  • Grokking Beyond the Euclidean Norm of Model Parameters cs.LG · 2025-06-06 · conditional · none · ref 11

    Grokking is induced by any small nonzero regularizer whose favored solutions generalize, with a delay that scales like one over the learning rate times the regularization strength.