Grokking through the Lens of Minimum-Norm Interpolation DWKWF242Y0

URI	`m2://res/DWKWF242Y0`
Kind	preprint
Creators	Gil Kur, Ileana Rugina, Clémentine Carla Juliette Dominé, Marco Mondelli
Date	2026-09-29
Subjects	arxiv cs.LG, arxiv math.ST, arxiv stat.ML, arxiv stat.TH
Scope	border

Expressions

e1: version, preprint

Date	2026-09-29
Ids	arXiv 2609.38453

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
$S_1< 0$ for $\ell_1$ regularization and $\sigma>0$	statement	proposition 7	arxiv
Weighted recovery margin	statement	lemma 8	arxiv
29RPMJWYPD	statement	theorem	arxiv
Zero--one generalization at interpolation	statement	theorem 1	arxiv
4BT79ZHMG8	statement	lemma 5	arxiv
Unit ball and norm comparison	statement	proposition 6	arxiv
Zero-prior gap	statement	lemma 12	arxiv
A4EY714DRS	statement	lemma 20	arxiv
Convergence to $\gamma_r(\kappa)$	statement	lemma 16	arxiv
Localization of minimizers and application of CGMT	statement	lemma 19	arxiv
Monotonicity of the residual	statement	lemma 23	arxiv
Results on proximal operator	statement	lemma 11	arxiv
Uniform cube completion and its coefficient energy	statement	lemma 10	arxiv
Initial correlation excess	statement	lemma 9	arxiv
$S_2 \le 0$ for $\ell_2$ regularization	statement	proposition 8	arxiv
Stability of empirical objective	statement	lemma 17	arxiv
Population optimizer	statement	lemma 13	arxiv
Gordon's comparison theorem	statement	lemma 4	arxiv
JYGJD83VZ8	statement	lemma 22	arxiv
KEGPE5YFXC	statement	lemma 7	arxiv
Precise characterization for nonzero training error	statement	lemma 2	arxiv
Zero--one generalization	statement	lemma 1	arxiv
$S_r<0$ for Gaussian $B$	statement	proposition 9	arxiv
Comparison with the zero predictor	statement	proposition 5	arxiv
Derivative at the interpolation threshold	statement	lemma 25	arxiv
Precise characterization for the MNI	statement	lemma 3	arxiv
Characterization of the auxiliary optimization	statement	lemma 18	arxiv
Smaller $r$ implies more grokking	statement	theorem 2	arxiv
Convergence of joint empirical distribution	statement	lemma 14	arxiv
Exact penalty for interpolation	statement	lemma 21	arxiv
Unbounded improvement in MSE for $\ell_1$ regularization	statement	theorem 3	arxiv
More sparsity implies more grokking	statement	theorem 4	arxiv
Limit towards interpolation	statement	lemma 24	arxiv
Width of effectively sparse vectors	statement	lemma 6	arxiv
Upper bound on $\gamma_r(\kappa)$	statement	lemma 15	arxiv

Catalogue records

arxiv: 2609.38453 (work)